%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU169+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 : n027.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 08:50:49 AM UTC 2026 % Result : Theorem 16.48s 16.77s % Output : Proof 16.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SEU169+1 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n027.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 16:33:36 EDT 2026 % 0.16/0.33 % CPUTime : % 0.26/0.49 %----Proving TF0_NAR, FOF, or CNF % 16.48/16.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.48/16.77 --- Run --no-e-matching --full-saturate-quant at 6... % 16.48/16.77 % SZS status Theorem % 16.48/16.77 % SZS output start Proof % 16.48/16.77 ( % 16.48/16.77 (declare-sort $$unsorted 0) % 16.48/16.77 (declare-const tptp.empty_set $$unsorted) % 16.48/16.77 (declare-const tptp.empty (-> $$unsorted Bool)) % 16.48/16.77 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 16.48/16.77 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 16.48/16.77 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 16.48/16.77 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 16.48/16.77 (define @t1 () (@var "A" $$unsorted)) % 16.48/16.77 (define @t2 () (@var "B" $$unsorted)) % 16.48/16.77 (define @t3 () (tptp.in @t2 @t1)) % 16.48/16.77 (define @t4 () (tptp.in @t1 @t2)) % 16.48/16.77 (define @t5 () (@list @t1 @t2)) % 16.48/16.77 (define @t6 () (@var "C" $$unsorted)) % 16.48/16.77 (define @t7 () (tptp.in @t6 @t2)) % 16.48/16.77 (define @t8 () (@list @t6)) % 16.48/16.77 (define @t9 () (tptp.powerset @t1)) % 16.48/16.77 (define @t10 () (forall @t5 (= (= @t2 @t9) (forall @t8 (= @t7 (tptp.subset @t6 @t1)))))) % 16.48/16.77 (define @t11 () (tptp.empty @t2)) % 16.48/16.77 (define @t12 () (tptp.element @t2 @t1)) % 16.48/16.77 (define @t13 () (= @t12 @t11)) % 16.48/16.77 (define @t14 () (tptp.empty @t1)) % 16.48/16.77 (define @t15 () (=> @t14 @t13)) % 16.48/16.77 (define @t16 () (not @t14)) % 16.48/16.77 (define @t17 () (=> @t16 (= @t12 @t3))) % 16.48/16.77 (define @t18 () (and @t17 @t15)) % 16.48/16.77 (define @t19 () (forall @t5 @t18)) % 16.48/16.77 (define @t20 () (tptp.in @t6 @t1)) % 16.48/16.77 (define @t21 () (forall @t8 (=> @t20 @t7))) % 16.48/16.77 (define @t22 () (tptp.subset @t1 @t2)) % 16.48/16.77 (define @t23 () (= @t22 @t21)) % 16.48/16.77 (define @t24 () (forall @t5 @t23)) % 16.48/16.77 (define @t25 () (@list @t2)) % 16.48/16.77 (define @t26 () (@list @t1)) % 16.48/16.77 (define @t27 () (forall @t8 (=> @t7 @t20))) % 16.48/16.77 (define @t28 () (tptp.element @t2 @t9)) % 16.48/16.77 (define @t29 () (=> @t28 @t27)) % 16.48/16.77 (define @t30 () (forall @t5 @t29)) % 16.48/16.77 (define @t31 () (not @t30)) % 16.48/16.77 (define @t32 () (@var "BOUND_VARIABLE_7540" $$unsorted)) % 16.48/16.77 (define @t33 () (tptp.in @t32 @t1)) % 16.48/16.77 (define @t34 () (not (tptp.in @t32 @t2))) % 16.48/16.77 (define @t35 () (not @t28)) % 16.48/16.77 (define @t36 () (or @t35 @t34 @t33)) % 16.48/16.77 (define @t37 () (@list @t1 @t2 @t32)) % 16.48/16.77 (define @t38 () (forall @t37 @t36)) % 16.48/16.77 (define @t39 () (@quantifiers_skolemize @t38 0)) % 16.48/16.77 (define @t40 () (@quantifiers_skolemize @t38 1)) % 16.48/16.77 (define @t41 () (tptp.powerset @t39)) % 16.48/16.77 (define @t42 () (tptp.in @t6 @t41)) % 16.48/16.77 (define @t43 () (tptp.subset @t6 @t39)) % 16.48/16.77 (define @t44 () (forall @t8 (= @t43 @t42))) % 16.48/16.77 (define @t45 () (forall @t8 (= @t42 @t43))) % 16.48/16.77 (define @t46 () (= (= @t41 @t41) @t45)) % 16.48/16.77 (define @t47 () (@list false)) % 16.48/16.77 (define @t48 () (tptp.subset @t40 @t39)) % 16.48/16.77 (define @t49 () (tptp.in @t40 @t41)) % 16.48/16.77 (define @t50 () (= @t48 @t49)) % 16.48/16.77 (define @t51 () (= @t49 @t48)) % 16.48/16.77 (define @t52 () (or @t16 @t13)) % 16.48/16.77 (define @t53 () (forall @t5 @t52)) % 16.48/16.77 (define @t54 () (@list @t1 @t2)) % 16.48/16.77 (define @t55 () (= @t3 @t12)) % 16.48/16.77 (define @t56 () (or @t14 @t55)) % 16.48/16.77 (define @t57 () (forall @t5 @t56)) % 16.48/16.77 (define @t58 () (@var "BOUND_VARIABLE_7498" $$unsorted)) % 16.48/16.77 (define @t59 () (@var "BOUND_VARIABLE_7496" $$unsorted)) % 16.48/16.77 (define @t60 () (and @t57 @t53)) % 16.48/16.77 (define @t61 () (and (=> @t16 @t55) @t15)) % 16.48/16.77 (define @t62 () (tptp.element @t40 @t41)) % 16.48/16.77 (define @t63 () (tptp.empty @t41)) % 16.48/16.77 (define @t64 () (or @t63 (= @t49 @t62))) % 16.48/16.77 (define @t65 () (forall (@list @t59 @t58) (or (tptp.empty @t59) (= (tptp.in @t58 @t59) (tptp.element @t58 @t59))))) % 16.48/16.77 (define @t66 () (= @t62 @t49)) % 16.48/16.77 (define @t67 () (or @t63 @t66)) % 16.48/16.77 (define @t68 () (@list true false)) % 16.48/16.77 (define @t69 () (or @t34 @t33)) % 16.48/16.77 (define @t70 () (or @t35 @t69)) % 16.48/16.77 (define @t71 () (forall @t37 @t70)) % 16.48/16.77 (define @t72 () (@list @t32)) % 16.48/16.77 (define @t73 () (forall @t72 @t70)) % 16.48/16.77 (define @t74 () (forall @t72 @t69)) % 16.48/16.77 (define @t75 () (or @t35 @t74)) % 16.48/16.77 (define @t76 () (forall @t8 (or (not @t7) @t20))) % 16.48/16.77 (define @t77 () (@quantifiers_skolemize @t38 2)) % 16.48/16.77 (define @t78 () (tptp.in @t77 @t39)) % 16.48/16.77 (define @t79 () (tptp.in @t77 @t40)) % 16.48/16.77 (define @t80 () (not @t79)) % 16.48/16.77 (define @t81 () (not @t62)) % 16.48/16.77 (define @t82 () (or @t81 @t80 @t78)) % 16.48/16.77 (define @t83 () (@list true)) % 16.48/16.77 (define @t84 () (@list @t82)) % 16.48/16.77 (define @t85 () (@list false false)) % 16.48/16.77 (define @t86 () (forall @t8 (or (not (tptp.in @t6 @t40)) (tptp.in @t6 @t39)))) % 16.48/16.77 (define @t87 () (= @t48 @t86)) % 16.48/16.77 (define @t88 () (or @t80 @t78)) % 16.48/16.77 (define @t89 () (not @t88)) % 16.48/16.77 (assume @p1 (forall @t5 (=> @t4 (not @t3)))) % 16.48/16.77 (assume @p2 @t10) % 16.48/16.77 (assume @p3 @t19) % 16.48/16.77 (assume @p4 @t24) % 16.48/16.77 (assume @p5 true) % 16.48/16.77 (assume @p6 (forall @t26 (exists @t25 @t12))) % 16.48/16.77 (assume @p7 (forall @t26 (not (tptp.empty @t9)))) % 16.48/16.77 (assume @p8 (tptp.empty tptp.empty_set)) % 16.48/16.77 (assume @p9 @t31) % 16.48/16.77 (assume @p10 (forall @t26 (=> @t16 (exists @t25 (and @t28 (not @t11)))))) % 16.48/16.77 (assume @p11 (exists @t26 @t14)) % 16.48/16.77 (assume @p12 (exists @t26 @t16)) % 16.48/16.77 (assume @p13 (forall @t5 (tptp.subset @t1 @t1))) % 16.48/16.77 (assume @p14 (forall @t26 (=> @t14 (= @t1 tptp.empty_set)))) % 16.48/16.77 (assume @p15 (forall @t5 (not (and @t4 @t11)))) % 16.48/16.77 (assume @p16 (forall @t5 (not (and @t14 (not (= @t1 @t2)) @t11)))) % 16.48/16.77 (step @p17 :rule bool-impl-elim :args (@t20 @t7)) % 16.48/16.77 (step @p18 :rule cong :premises (@p17) :args (@t21)) % 16.48/16.77 (step @p19 :rule refl :args (@t22)) % 16.48/16.77 (step @p20 :rule cong :premises (@p19 @p18) :args (@t23)) % 16.48/16.77 (step @p21 :rule cong :premises (@p20) :args (@t24)) % 16.48/16.77 (step @p22 :rule eq_resolve :premises (@p4 @p21)) % 16.48/16.77 (step @p23 :rule instantiate :premises (@p22) :args ((@list @t40 @t39))) % 16.48/16.77 (step @p24 :rule bool-eq-true :args (@t44)) % 16.48/16.77 (step @p25 :rule eq-symm :args (true @t44)) % 16.48/16.77 (step @p26 :rule trans :premises (@p25 @p24)) % 16.48/16.77 (step @p27 :rule eq-symm :args (@t42 @t43)) % 16.48/16.77 (step @p28 :rule cong :premises (@p27) :args (@t45)) % 16.48/16.77 (step @p29 :rule eq-refl :args (@t41)) % 16.48/16.77 (step @p30 :rule cong :premises (@p29 @p28) :args (@t46)) % 16.48/16.77 (step @p31 :rule trans :premises (@p30 @p26)) % 16.48/16.77 (step @p32 :rule refl :args (@t10)) % 16.48/16.77 (step @p33 :rule cong :premises (@p32 @p31) :args ((=> @t10 @t46))) % 16.48/16.77 (assume-push @p147 @t10) % 16.48/16.77 (step @p35 :rule instantiate :premises (@p2) :args ((@list @t39 @t41))) % 16.48/16.77 (step-pop @p148 :rule scope :premises (@p35)) % 16.48/16.77 (step @p36 :rule process_scope :premises (@p148) :args (@t46)) % 16.48/16.77 (step @p38 :rule eq_resolve :premises (@p36 @p33)) % 16.48/16.77 (step @p39 :rule implies_elim :premises (@p38)) % 16.48/16.77 (step @p40 :rule chain_m_resolution :premises (@p39 @p2) :args (@t44 @t47 (@list @t10))) % 16.48/16.77 (step @p41 :rule eq-symm :args (@t48 @t49)) % 16.48/16.77 (step @p42 :rule refl :args (@t44)) % 16.48/16.77 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t44 @t50))) % 16.48/16.77 (assume-push @p149 @t44) % 16.48/16.77 (step @p45 :rule instantiate :premises (@p40) :args ((@list @t40))) % 16.48/16.77 (step-pop @p150 :rule scope :premises (@p45)) % 16.48/16.77 (step @p46 :rule process_scope :premises (@p150) :args (@t50)) % 16.48/16.77 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 16.48/16.77 (step @p49 :rule implies_elim :premises (@p48)) % 16.48/16.77 (step @p50 :rule chain_m_resolution :premises (@p49 @p40) :args (@t51 @t47 (@list @t44))) % 16.48/16.77 (step @p51 :rule alpha_equiv :args (@t53 @t54 (@list (@var "BOUND_VARIABLE_7507" $$unsorted) (@var "BOUND_VARIABLE_7509" $$unsorted)))) % 16.48/16.77 (step @p52 :rule alpha_equiv :args (@t57 @t54 (@list @t59 @t58))) % 16.48/16.77 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t60)) % 16.48/16.77 (step @p54 :rule quant-miniscope-and :args ((= (forall @t5 (and @t56 @t52)) @t60))) % 16.48/16.77 (step @p55 :rule trans :premises (@p54 @p53)) % 16.48/16.77 (step @p56 :rule bool-impl-elim :args (@t14 @t13)) % 16.48/16.77 (step @p57 :rule refl :args (@t55)) % 16.48/16.77 (step @p58 :rule bool-double-not-elim :args (@t14)) % 16.48/16.77 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or (not @t16) @t55))) % 16.48/16.77 (step @p60 :rule bool-impl-elim :args (@t16 @t55)) % 16.48/16.77 (step @p61 :rule trans :premises (@p60 @p59)) % 16.48/16.77 (step @p62 :rule nary_cong :premises (@p61 @p56) :args (@t61)) % 16.48/16.77 (step @p63 :rule cong :premises (@p62) :args ((forall @t5 @t61))) % 16.48/16.77 (step @p64 :rule trans :premises (@p63 @p55)) % 16.48/16.77 (step @p65 :rule refl :args (@t15)) % 16.48/16.77 (step @p66 :rule eq-symm :args (@t12 @t3)) % 16.48/16.77 (step @p67 :rule refl :args (@t16)) % 16.48/16.77 (step @p68 :rule cong :premises (@p67 @p66) :args (@t17)) % 16.48/16.77 (step @p69 :rule nary_cong :premises (@p68 @p65) :args (@t18)) % 16.48/16.77 (step @p70 :rule cong :premises (@p69) :args (@t19)) % 16.48/16.77 (step @p71 :rule trans :premises (@p70 @p64)) % 16.48/16.77 (step @p72 :rule eq_resolve :premises (@p3 @p71)) % 16.48/16.77 (step @p73 :rule and_elim :premises (@p72) :args (0)) % 16.48/16.77 (step @p74 :rule eq-symm :args (@t49 @t62)) % 16.48/16.77 (step @p75 :rule refl :args (@t63)) % 16.48/16.77 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t64)) % 16.48/16.77 (step @p77 :rule refl :args (@t65)) % 16.48/16.77 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t65 @t64))) % 16.48/16.77 (assume-push @p151 @t65) % 16.48/16.77 (step @p80 :rule instantiate :premises (@p73) :args ((@list @t41 @t40))) % 16.48/16.77 (step-pop @p152 :rule scope :premises (@p80)) % 16.48/16.77 (step @p81 :rule process_scope :premises (@p152) :args (@t64)) % 16.48/16.77 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 16.48/16.77 (step @p84 :rule implies_elim :premises (@p83)) % 16.48/16.77 (step @p85 :rule chain_m_resolution :premises (@p84 @p73) :args (@t67 @t47 (@list @t65))) % 16.48/16.77 (step @p86 :rule instantiate :premises (@p7) :args ((@list @t39))) % 16.48/16.77 (step @p87 :rule cnf_or_pos :args (@t67)) % 16.48/16.77 (step @p88 :rule reordering :premises (@p87) :args ((or @t63 @t66 (not @t67)))) % 16.48/16.77 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p85) :args (@t66 @t68 (@list @t63 @t67))) % 16.48/16.77 (step @p90 :rule aci_norm :args ((= @t70 @t36))) % 16.48/16.77 (step @p91 :rule cong :premises (@p90) :args (@t71)) % 16.48/16.77 (step @p92 :rule quant-merge-prenex :args ((= (forall @t5 @t73) @t71))) % 16.48/16.77 (step @p93 :rule alpha_equiv :args (@t74 (@list @t32) (@list @t6))) % 16.48/16.77 (step @p94 :rule refl :args (@t35)) % 16.48/16.77 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t75)) % 16.48/16.77 (step @p96 :rule quant-miniscope-or :args ((= @t73 @t75))) % 16.48/16.77 (step @p97 :rule trans :premises (@p96 @p95)) % 16.48/16.77 (step @p98 :rule symm :premises (@p97)) % 16.48/16.77 (step @p99 :rule cong :premises (@p98) :args ((forall @t5 (or @t35 @t76)))) % 16.48/16.77 (step @p100 :rule trans :premises (@p99 @p92)) % 16.48/16.77 (step @p101 :rule trans :premises (@p100 @p91)) % 16.48/16.77 (step @p102 :rule bool-impl-elim :args (@t28 @t76)) % 16.48/16.77 (step @p103 :rule cong :premises (@p102) :args ((forall @t5 (=> @t28 @t76)))) % 16.48/16.77 (step @p104 :rule trans :premises (@p103 @p101)) % 16.48/16.77 (step @p105 :rule bool-impl-elim :args (@t7 @t20)) % 16.48/16.77 (step @p106 :rule cong :premises (@p105) :args (@t27)) % 16.48/16.77 (step @p107 :rule refl :args (@t28)) % 16.48/16.77 (step @p108 :rule cong :premises (@p107 @p106) :args (@t29)) % 16.48/16.77 (step @p109 :rule cong :premises (@p108) :args (@t30)) % 16.48/16.77 (step @p110 :rule trans :premises (@p109 @p104)) % 16.48/16.77 (step @p111 :rule cong :premises (@p110) :args (@t31)) % 16.48/16.77 (step @p112 :rule eq_resolve :premises (@p9 @p111)) % 16.48/16.77 (step @p113 :rule skolemize :premises (@p112)) % 16.48/16.77 (step @p114 :rule bool-double-not-elim :args (@t62)) % 16.48/16.77 (step @p115 :rule refl :args (@t82)) % 16.48/16.77 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or @t82 (not @t81)))) % 16.48/16.77 (step @p117 :rule cnf_or_neg :args (@t82 0)) % 16.48/16.77 (step @p118 :rule eq_resolve :premises (@p117 @p116)) % 16.48/16.77 (step @p119 :rule reordering :premises (@p118) :args ((or @t62 @t82))) % 16.48/16.77 (step @p120 :rule chain_m_resolution :premises (@p119 @p113) :args (@t62 @t83 @t84)) % 16.48/16.77 (step @p121 :rule cnf_equiv_pos1 :args (@t66)) % 16.48/16.77 (step @p122 :rule reordering :premises (@p121) :args ((or @t81 @t49 (not @t66)))) % 16.48/16.77 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p89) :args (@t49 @t85 (@list @t62 @t66))) % 16.48/16.77 (step @p124 :rule cnf_equiv_pos1 :args (@t51)) % 16.48/16.77 (step @p125 :rule reordering :premises (@p124) :args ((or (not @t49) @t48 (not @t51)))) % 16.48/16.77 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p50) :args (@t48 @t85 (@list @t49 @t51))) % 16.48/16.77 (step @p127 :rule cnf_equiv_pos1 :args (@t87)) % 16.48/16.77 (step @p128 :rule reordering :premises (@p127) :args ((or (not @t48) @t86 (not @t87)))) % 16.48/16.77 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p23) :args (@t86 @t85 (@list @t48 @t87))) % 16.48/16.77 (step @p130 :rule cnf_or_neg :args (@t82 2)) % 16.48/16.77 (step @p131 :rule chain_m_resolution :premises (@p130 @p113) :args ((not @t78) @t83 @t84)) % 16.48/16.77 (step @p132 :rule bool-double-not-elim :args (@t79)) % 16.48/16.77 (step @p133 :rule nary_cong :premises (@p115 @p132) :args ((or @t82 (not @t80)))) % 16.48/16.77 (step @p134 :rule cnf_or_neg :args (@t82 1)) % 16.48/16.77 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 16.48/16.77 (step @p136 :rule reordering :premises (@p135) :args ((or @t79 @t82))) % 16.48/16.77 (step @p137 :rule chain_m_resolution :premises (@p136 @p113) :args (@t79 @t83 @t84)) % 16.48/16.77 (step @p138 :rule cnf_or_pos :args (@t88)) % 16.48/16.77 (step @p139 :rule reordering :premises (@p138) :args ((or @t80 @t78 @t89))) % 16.48/16.77 (step @p140 :rule chain_m_resolution :premises (@p139 @p137 @p131) :args (@t89 (@list false true) (@list @t79 @t78))) % 16.48/16.77 (assume-push @p153 @t86) % 16.48/16.77 (step @p142 :rule instantiate :premises (@p129) :args ((@list @t77))) % 16.48/16.77 (step-pop @p154 :rule scope :premises (@p142)) % 16.48/16.77 (step @p143 :rule process_scope :premises (@p154) :args (@t88)) % 16.48/16.77 (step @p145 :rule implies_elim :premises (@p143)) % 16.48/16.77 (step @p146 false :rule chain_m_resolution :premises (@p145 @p140 @p129) :args (false @t68 (@list @t88 @t86))) % 16.48/16.77 ) % 16.48/16.77 % SZS output end Proof % 16.48/16.77 % cvc5 exiting %------------------------------------------------------------------------------