%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU280+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 : n008.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 08:51:13 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU280+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n008.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:50:48 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.57 (define @t2 () (tptp.ordinal @t1)) % 0.38/0.57 (define @t3 () (@var "A" $$unsorted)) % 0.38/0.57 (define @t4 () (tptp.in @t1 @t3)) % 0.38/0.57 (define @t5 () (and @t4 @t2)) % 0.38/0.57 (define @t6 () (@var "B" $$unsorted)) % 0.38/0.57 (define @t7 () (tptp.in @t1 @t6)) % 0.38/0.57 (define @t8 () (@list @t1)) % 0.38/0.57 (define @t9 () (forall @t8 (= @t7 @t5))) % 0.38/0.57 (define @t10 () (@list @t6)) % 0.38/0.57 (define @t11 () (exists @t10 @t9)) % 0.38/0.57 (define @t12 () (@list @t3)) % 0.38/0.57 (define @t13 () (forall @t12 @t11)) % 0.38/0.57 (define @t14 () (not @t13)) % 0.38/0.57 (define @t15 () (tptp.ordinal @t3)) % 0.38/0.57 (define @t16 () (tptp.epsilon_connected @t3)) % 0.38/0.57 (define @t17 () (tptp.epsilon_transitive @t3)) % 0.38/0.57 (define @t18 () (and @t17 @t16)) % 0.38/0.57 (define @t19 () (@var "D" $$unsorted)) % 0.38/0.57 (define @t20 () (= @t19 @t1)) % 0.38/0.57 (define @t21 () (tptp.in @t19 @t3)) % 0.38/0.57 (define @t22 () (and @t21 @t20 @t2)) % 0.38/0.57 (define @t23 () (@list @t19)) % 0.38/0.57 (define @t24 () (exists @t23 @t22)) % 0.38/0.57 (define @t25 () (= @t7 @t24)) % 0.38/0.57 (define @t26 () (forall @t8 @t25)) % 0.38/0.57 (define @t27 () (exists @t10 @t26)) % 0.38/0.57 (define @t28 () (= @t1 @t19)) % 0.38/0.57 (define @t29 () (tptp.ordinal @t19)) % 0.38/0.57 (define @t30 () (= @t6 @t19)) % 0.38/0.57 (define @t31 () (= @t6 @t1)) % 0.38/0.57 (define @t32 () (and @t31 @t2 @t30 @t29)) % 0.38/0.57 (define @t33 () (@list @t6 @t1 @t19)) % 0.38/0.57 (define @t34 () (forall @t33 (=> @t32 @t28))) % 0.38/0.57 (define @t35 () (=> @t34 @t27)) % 0.38/0.57 (define @t36 () (forall @t12 @t35)) % 0.38/0.57 (define @t37 () (not (forall @t10 (not @t9)))) % 0.38/0.57 (define @t38 () (and @t2 @t4)) % 0.38/0.57 (define @t39 () (= @t7 @t38)) % 0.38/0.57 (define @t40 () (forall @t8 @t39)) % 0.38/0.57 (define @t41 () (not @t40)) % 0.38/0.57 (define @t42 () (forall @t10 @t41)) % 0.38/0.57 (define @t43 () (not @t42)) % 0.38/0.57 (define @t44 () (forall @t12 @t43)) % 0.38/0.57 (define @t45 () (forall @t12 @t37)) % 0.38/0.57 (define @t46 () (@list true)) % 0.38/0.57 (define @t47 () (not @t4)) % 0.38/0.57 (define @t48 () (not @t2)) % 0.38/0.57 (define @t49 () (= @t7 (not (or @t48 @t47)))) % 0.38/0.57 (define @t50 () (not (= @t1 @t1))) % 0.38/0.57 (define @t51 () (or @t47 @t50)) % 0.38/0.57 (define @t52 () (not @t28)) % 0.38/0.57 (define @t53 () (not @t21)) % 0.38/0.57 (define @t54 () (or @t52 @t53 @t52)) % 0.38/0.57 (define @t55 () (or @t53 @t52)) % 0.38/0.57 (define @t56 () (forall @t23 @t55)) % 0.38/0.57 (define @t57 () (or @t48 @t56)) % 0.38/0.57 (define @t58 () (or @t48 @t55)) % 0.38/0.57 (define @t59 () (or @t53 @t52 @t48)) % 0.38/0.57 (define @t60 () (and @t21 @t28 @t2)) % 0.38/0.57 (define @t61 () (forall @t23 (not @t60))) % 0.38/0.57 (define @t62 () (not @t61)) % 0.38/0.57 (define @t63 () (@list @t1 @t19)) % 0.38/0.57 (define @t64 () (not @t29)) % 0.38/0.57 (define @t65 () (or @t48 @t52 @t64 @t28)) % 0.38/0.57 (define @t66 () (or @t50 @t48 @t52 @t64 @t28)) % 0.38/0.57 (define @t67 () (not @t30)) % 0.38/0.57 (define @t68 () (not @t31)) % 0.38/0.57 (define @t69 () (or @t68 @t68 @t48 @t67 @t64 @t28)) % 0.38/0.57 (define @t70 () (or @t68 @t48 @t67 @t64 @t28)) % 0.38/0.57 (define @t71 () (forall @t10 @t70)) % 0.38/0.57 (define @t72 () (forall @t63 @t71)) % 0.38/0.57 (define @t73 () (forall (@list @t1 @t19 @t6) @t70)) % 0.38/0.57 (define @t74 () (or @t68 @t48 @t67 @t64)) % 0.38/0.57 (assume @p1 @t14) % 0.38/0.57 (assume @p2 (forall @t12 (=> @t18 @t15))) % 0.38/0.57 (assume @p3 (exists @t12 (and @t17 @t16 @t15))) % 0.38/0.57 (assume @p4 (forall (@list @t3 @t6) (=> (tptp.in @t3 @t6) (not (tptp.in @t6 @t3))))) % 0.38/0.57 (assume @p5 (forall @t12 (=> @t15 @t18))) % 0.38/0.57 (assume @p6 @t36) % 0.38/0.57 (assume @p7 true) % 0.38/0.57 (step @p8 :rule exists-elim :args ((= @t11 @t37))) % 0.38/0.57 (step @p9 :rule cong :premises (@p8) :args (@t13)) % 0.38/0.57 (step @p10 :rule cong :premises (@p9) :args (@t14)) % 0.38/0.57 (step @p11 :rule eq_resolve :premises (@p1 @p10)) % 0.38/0.57 (step @p12 :rule aci_norm :args ((= @t38 @t5))) % 0.38/0.57 (step @p13 :rule refl :args (@t7)) % 0.38/0.57 (step @p14 :rule cong :premises (@p13 @p12) :args (@t39)) % 0.38/0.57 (step @p15 :rule cong :premises (@p14) :args (@t40)) % 0.38/0.57 (step @p16 :rule cong :premises (@p15) :args (@t41)) % 0.38/0.57 (step @p17 :rule cong :premises (@p16) :args (@t42)) % 0.38/0.57 (step @p18 :rule cong :premises (@p17) :args (@t43)) % 0.38/0.57 (step @p19 :rule cong :premises (@p18) :args (@t44)) % 0.38/0.57 (step @p20 :rule true_intro :premises (@p19)) % 0.38/0.57 (step @p21 :rule eq-symm :args (@t45 @t44)) % 0.38/0.57 (step @p22 :rule trans :premises (@p21 @p20)) % 0.38/0.57 (step @p23 :rule true_elim :premises (@p22)) % 0.38/0.57 (step @p24 :rule equiv_elim2 :premises (@p23)) % 0.38/0.57 (step @p25 :rule chain_m_resolution :premises (@p24 @p11) :args ((not @t44) @t46 (@list @t45))) % 0.38/0.57 (step @p26 :rule bool-impl-true2 :args (@t43)) % 0.38/0.57 (step @p27 :rule exists-elim :args ((= (exists @t10 @t40) @t43))) % 0.38/0.57 (step @p28 :rule bool-double-not-elim :args (@t4)) % 0.38/0.57 (step @p29 :rule bool-double-not-elim :args (@t2)) % 0.38/0.57 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((and (not @t48) (not @t47)))) % 0.38/0.57 (step @p31 :rule bool-or-de-morgan :args (@t48 @t47 false)) % 0.38/0.57 (step @p32 :rule trans :premises (@p31 @p30)) % 0.38/0.57 (step @p33 :rule cong :premises (@p13 @p32) :args (@t49)) % 0.38/0.57 (step @p34 :rule cong :premises (@p33) :args ((forall @t8 @t49))) % 0.38/0.57 (step @p35 :rule aci_norm :args ((= (or @t47 false) @t47))) % 0.38/0.57 (step @p36 :rule evaluate :args ((not true))) % 0.38/0.57 (step @p37 :rule eq-refl :args (@t1)) % 0.38/0.57 (step @p38 :rule cong :premises (@p37) :args (@t50)) % 0.38/0.57 (step @p39 :rule trans :premises (@p38 @p36)) % 0.38/0.57 (step @p40 :rule refl :args (@t47)) % 0.38/0.57 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t51)) % 0.38/0.57 (step @p42 :rule trans :premises (@p41 @p35)) % 0.38/0.57 (step @p43 :rule quant-var-elim-eq :args ((= (forall @t23 (or (not @t20) @t53 @t52)) @t51))) % 0.38/0.57 (step @p44 :rule refl :args (@t52)) % 0.38/0.57 (step @p45 :rule refl :args (@t53)) % 0.38/0.57 (step @p46 :rule eq-symm :args (@t1 @t19)) % 0.38/0.57 (step @p47 :rule cong :premises (@p46) :args (@t52)) % 0.38/0.57 (step @p48 :rule nary_cong :premises (@p47 @p45 @p44) :args (@t54)) % 0.38/0.57 (step @p49 :rule aci_norm :args ((= @t55 @t54))) % 0.38/0.57 (step @p50 :rule trans :premises (@p49 @p48)) % 0.38/0.57 (step @p51 :rule cong :premises (@p50) :args (@t56)) % 0.38/0.57 (step @p52 :rule trans :premises (@p51 @p43)) % 0.38/0.57 (step @p53 :rule trans :premises (@p52 @p42)) % 0.38/0.57 (step @p54 :rule refl :args (@t48)) % 0.38/0.57 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t57)) % 0.38/0.57 (step @p56 :rule quant-miniscope-or :args ((= (forall @t23 @t58) @t57))) % 0.38/0.57 (step @p57 :rule aci_norm :args ((= @t59 @t58))) % 0.38/0.57 (step @p58 :rule cong :premises (@p57) :args ((forall @t23 @t59))) % 0.38/0.57 (step @p59 :rule trans :premises (@p58 @p56)) % 0.38/0.57 (step @p60 :rule trans :premises (@p59 @p55)) % 0.38/0.57 (step @p61 :rule aci_norm :args ((= (or @t53 (or @t52 @t48)) @t59))) % 0.38/0.57 (step @p62 :rule bool-and-de-morgan :args (@t28 @t2 true)) % 0.38/0.57 (step @p63 :rule nary_cong :premises (@p45 @p62) :args ((or @t53 (not (and @t28 @t2))))) % 0.38/0.57 (step @p64 :rule bool-and-de-morgan :args (@t21 @t28 (and @t2))) % 0.38/0.57 (step @p65 :rule trans :premises (@p64 @p63)) % 0.38/0.57 (step @p66 :rule trans :premises (@p65 @p61)) % 0.38/0.57 (step @p67 :rule cong :premises (@p66) :args (@t61)) % 0.38/0.57 (step @p68 :rule trans :premises (@p67 @p60)) % 0.38/0.57 (step @p69 :rule cong :premises (@p68) :args (@t62)) % 0.38/0.57 (step @p70 :rule exists-elim :args ((= (exists @t23 @t60) @t62))) % 0.38/0.57 (step @p71 :rule trans :premises (@p70 @p69)) % 0.38/0.57 (step @p72 :rule refl :args (@t2)) % 0.38/0.57 (step @p73 :rule eq-symm :args (@t19 @t1)) % 0.38/0.57 (step @p74 :rule refl :args (@t21)) % 0.38/0.57 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72) :args (@t22)) % 0.38/0.57 (step @p76 :rule cong :premises (@p75) :args (@t24)) % 0.38/0.57 (step @p77 :rule trans :premises (@p76 @p71)) % 0.38/0.57 (step @p78 :rule refl :args (@t7)) % 0.38/0.57 (step @p79 :rule cong :premises (@p78 @p77) :args (@t25)) % 0.38/0.57 (step @p80 :rule cong :premises (@p79) :args (@t26)) % 0.38/0.57 (step @p81 :rule trans :premises (@p80 @p34)) % 0.38/0.57 (step @p82 :rule cong :premises (@p81) :args (@t27)) % 0.38/0.57 (step @p83 :rule trans :premises (@p82 @p27)) % 0.38/0.57 (step @p84 :rule quant-unused-vars :args ((= (forall @t63 true) true))) % 0.38/0.57 (step @p85 :rule bool-or-taut2 :args ((or @t48) @t28 (or @t64) false)) % 0.38/0.57 (step @p86 :rule cong :premises (@p85) :args ((forall @t63 @t65))) % 0.38/0.57 (step @p87 :rule trans :premises (@p86 @p84)) % 0.38/0.57 (step @p88 :rule aci_norm :args ((= (or false @t48 @t52 @t64 @t28) @t65))) % 0.38/0.57 (step @p89 :rule refl :args (@t28)) % 0.38/0.57 (step @p90 :rule refl :args (@t64)) % 0.38/0.57 (step @p91 :rule refl :args (@t52)) % 0.38/0.57 (step @p92 :rule nary_cong :premises (@p39 @p54 @p91 @p90 @p89) :args (@t66)) % 0.38/0.57 (step @p93 :rule trans :premises (@p92 @p88)) % 0.38/0.57 (step @p94 :rule cong :premises (@p93) :args ((forall @t63 @t66))) % 0.38/0.57 (step @p95 :rule trans :premises (@p94 @p87)) % 0.38/0.57 (step @p96 :rule quant-var-elim-eq :args ((= (forall @t10 @t69) @t66))) % 0.38/0.57 (step @p97 :rule aci_norm :args ((= @t70 @t69))) % 0.38/0.57 (step @p98 :rule cong :premises (@p97) :args (@t71)) % 0.38/0.57 (step @p99 :rule trans :premises (@p98 @p96)) % 0.38/0.57 (step @p100 :rule cong :premises (@p99) :args (@t72)) % 0.38/0.57 (step @p101 :rule quant-merge-prenex :args ((= @t72 @t73))) % 0.38/0.57 (step @p102 :rule symm :premises (@p101)) % 0.38/0.57 (step @p103 :rule quant_var_reordering :args ((= (forall @t33 @t70) @t73))) % 0.38/0.57 (step @p104 :rule trans :premises (@p103 @p102 @p100)) % 0.38/0.57 (step @p105 :rule trans :premises (@p104 @p95)) % 0.38/0.57 (step @p106 :rule aci_norm :args ((= (or @t74 @t28) @t70))) % 0.38/0.57 (step @p107 :rule refl :args (@t28)) % 0.38/0.57 (step @p108 :rule aci_norm :args ((= (or @t68 (or @t48 (or @t67 @t64))) @t74))) % 0.38/0.57 (step @p109 :rule bool-and-de-morgan :args (@t30 @t29 true)) % 0.38/0.57 (step @p110 :rule refl :args (@t48)) % 0.38/0.57 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t48 (not (and @t30 @t29))))) % 0.38/0.57 (step @p112 :rule bool-and-de-morgan :args (@t2 @t30 (and @t29))) % 0.38/0.57 (step @p113 :rule trans :premises (@p112 @p111)) % 0.38/0.57 (step @p114 :rule refl :args (@t68)) % 0.38/0.57 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t68 (not (and @t2 @t30 @t29))))) % 0.38/0.57 (step @p116 :rule bool-and-de-morgan :args (@t31 @t2 (and @t30 @t29))) % 0.38/0.57 (step @p117 :rule trans :premises (@p116 @p115)) % 0.38/0.57 (step @p118 :rule trans :premises (@p117 @p108)) % 0.38/0.57 (step @p119 :rule nary_cong :premises (@p118 @p107) :args ((or (not @t32) @t28))) % 0.38/0.57 (step @p120 :rule trans :premises (@p119 @p106)) % 0.38/0.57 (step @p121 :rule bool-impl-elim :args (@t32 @t28)) % 0.38/0.57 (step @p122 :rule trans :premises (@p121 @p120)) % 0.38/0.57 (step @p123 :rule cong :premises (@p122) :args (@t34)) % 0.38/0.57 (step @p124 :rule trans :premises (@p123 @p105)) % 0.38/0.57 (step @p125 :rule cong :premises (@p124 @p83) :args (@t35)) % 0.38/0.57 (step @p126 :rule trans :premises (@p125 @p26)) % 0.38/0.57 (step @p127 :rule cong :premises (@p126) :args (@t36)) % 0.38/0.57 (step @p128 :rule eq_resolve :premises (@p6 @p127)) % 0.38/0.57 (step @p129 false :rule chain_m_resolution :premises (@p128 @p25) :args (false @t46 (@list @t44))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------