%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU151+3 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:50:44 AM UTC 2026 % Result : Theorem 27.42s 27.68s % Output : Proof 27.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU151+3 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:32:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 27.42/27.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 27.42/27.68 --- Run --no-e-matching --full-saturate-quant at 6... % 27.42/27.68 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.42/27.68 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.42/27.68 % SZS status Theorem % 27.42/27.68 % SZS output start Proof % 27.42/27.68 ( % 27.42/27.68 (declare-sort $$unsorted 0) % 27.42/27.68 (declare-const tptp.empty (-> $$unsorted Bool)) % 27.42/27.68 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 27.42/27.68 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 27.42/27.68 (define @t1 () (@var "A" $$unsorted)) % 27.42/27.68 (define @t2 () (@var "B" $$unsorted)) % 27.42/27.68 (define @t3 () (@list @t1 @t2)) % 27.42/27.68 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 27.42/27.68 (define @t5 () (@var "D" $$unsorted)) % 27.42/27.68 (define @t6 () (or (= @t5 @t1) (= @t5 @t2))) % 27.42/27.68 (define @t7 () (@var "C" $$unsorted)) % 27.42/27.68 (define @t8 () (tptp.in @t5 @t7)) % 27.42/27.68 (define @t9 () (= @t8 @t6)) % 27.42/27.68 (define @t10 () (@list @t5)) % 27.42/27.68 (define @t11 () (forall @t10 @t9)) % 27.42/27.68 (define @t12 () (= (= @t7 @t4) @t11)) % 27.42/27.68 (define @t13 () (@list @t1 @t2 @t7)) % 27.42/27.68 (define @t14 () (forall @t13 @t12)) % 27.42/27.68 (define @t15 () (tptp.empty @t1)) % 27.42/27.68 (define @t16 () (@list @t1)) % 27.42/27.68 (define @t17 () (= @t1 @t5)) % 27.42/27.68 (define @t18 () (not @t17)) % 27.42/27.68 (define @t19 () (= @t1 @t7)) % 27.42/27.68 (define @t20 () (not @t19)) % 27.42/27.68 (define @t21 () (= @t4 (tptp.unordered_pair @t7 @t5))) % 27.42/27.68 (define @t22 () (@list @t1 @t2 @t7 @t5)) % 27.42/27.68 (define @t23 () (forall @t22 (not (and @t21 @t20 @t18)))) % 27.42/27.68 (define @t24 () (not @t23)) % 27.42/27.68 (define @t25 () (not @t21)) % 27.42/27.68 (define @t26 () (forall @t22 (or @t25 @t19 @t17))) % 27.42/27.68 (define @t27 () (@quantifiers_skolemize @t26 1)) % 27.42/27.68 (define @t28 () (@quantifiers_skolemize @t26 0)) % 27.42/27.68 (define @t29 () (tptp.unordered_pair @t28 @t27)) % 27.42/27.68 (define @t30 () (tptp.in @t5 @t29)) % 27.42/27.68 (define @t31 () (forall @t10 (= @t30 (or (= @t5 @t28) (= @t5 @t27))))) % 27.42/27.68 (define @t32 () (or (= @t28 @t5) (= @t27 @t5))) % 27.42/27.68 (define @t33 () (= @t30 @t32)) % 27.42/27.68 (define @t34 () (forall @t10 @t33)) % 27.42/27.68 (define @t35 () (= (= @t29 @t29) @t34)) % 27.42/27.68 (define @t36 () (forall @t13 (= (= @t4 @t7) (forall @t10 (= @t8 (or @t17 (= @t2 @t5))))))) % 27.42/27.68 (define @t37 () (@list false)) % 27.42/27.68 (define @t38 () (@list @t36)) % 27.42/27.68 (define @t39 () (tptp.in @t28 @t29)) % 27.42/27.68 (define @t40 () (= @t28 @t27)) % 27.42/27.68 (define @t41 () (or (= @t28 @t28) @t40)) % 27.42/27.68 (define @t42 () (= @t39 @t41)) % 27.42/27.68 (define @t43 () (@list @t28)) % 27.42/27.68 (define @t44 () (not @t18)) % 27.42/27.68 (define @t45 () (not @t20)) % 27.42/27.68 (define @t46 () (or @t25 @t45 @t44)) % 27.42/27.68 (define @t47 () (@quantifiers_skolemize @t26 3)) % 27.42/27.68 (define @t48 () (= @t28 @t47)) % 27.42/27.68 (define @t49 () (@quantifiers_skolemize @t26 2)) % 27.42/27.68 (define @t50 () (= @t28 @t49)) % 27.42/27.68 (define @t51 () (tptp.unordered_pair @t49 @t47)) % 27.42/27.68 (define @t52 () (= @t29 @t51)) % 27.42/27.68 (define @t53 () (not @t52)) % 27.42/27.68 (define @t54 () (or @t53 @t50 @t48)) % 27.42/27.68 (define @t55 () (@list true)) % 27.42/27.68 (define @t56 () (@list @t54)) % 27.42/27.68 (define @t57 () (or @t50 @t48)) % 27.42/27.68 (define @t58 () (not @t57)) % 27.42/27.68 (define @t59 () (or (= @t49 @t5) (= @t47 @t5))) % 27.42/27.68 (define @t60 () (= @t30 @t59)) % 27.42/27.68 (define @t61 () (forall @t10 @t60)) % 27.42/27.68 (define @t62 () (= (= @t51 @t29) @t61)) % 27.42/27.68 (define @t63 () (forall @t10 (= @t30 (or (= @t5 @t49) (= @t5 @t47))))) % 27.42/27.68 (define @t64 () (= @t52 @t63)) % 27.42/27.68 (define @t65 () (= @t39 @t57)) % 27.42/27.68 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 27.42/27.68 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 27.42/27.68 (assume @p3 @t14) % 27.42/27.68 (assume @p4 (exists @t16 @t15)) % 27.42/27.68 (assume @p5 (exists @t16 (not @t15))) % 27.42/27.68 (assume @p6 @t24) % 27.42/27.68 (assume @p7 true) % 27.42/27.68 (step @p8 :rule eq-symm :args (@t5 @t2)) % 27.42/27.68 (step @p9 :rule eq-symm :args (@t5 @t1)) % 27.42/27.68 (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t6)) % 27.42/27.68 (step @p11 :rule refl :args (@t8)) % 27.42/27.68 (step @p12 :rule cong :premises (@p11 @p10) :args (@t9)) % 27.42/27.68 (step @p13 :rule cong :premises (@p12) :args (@t11)) % 27.42/27.68 (step @p14 :rule eq-symm :args (@t7 @t4)) % 27.42/27.68 (step @p15 :rule cong :premises (@p14 @p13) :args (@t12)) % 27.42/27.68 (step @p16 :rule cong :premises (@p15) :args (@t14)) % 27.42/27.68 (step @p17 :rule eq_resolve :premises (@p3 @p16)) % 27.42/27.68 (step @p18 :rule bool-eq-true :args (@t31)) % 27.42/27.68 (step @p19 :rule eq-symm :args (true @t31)) % 27.42/27.68 (step @p20 :rule trans :premises (@p19 @p18)) % 27.42/27.68 (step @p21 :rule eq-symm :args (@t27 @t5)) % 27.42/27.68 (step @p22 :rule eq-symm :args (@t28 @t5)) % 27.42/27.68 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t32)) % 27.42/27.68 (step @p24 :rule refl :args (@t30)) % 27.42/27.68 (step @p25 :rule cong :premises (@p24 @p23) :args (@t33)) % 27.42/27.68 (step @p26 :rule cong :premises (@p25) :args (@t34)) % 27.42/27.68 (step @p27 :rule eq-refl :args (@t29)) % 27.42/27.68 (step @p28 :rule cong :premises (@p27 @p26) :args (@t35)) % 27.42/27.68 (step @p29 :rule trans :premises (@p28 @p20)) % 27.42/27.68 (step @p30 :rule refl :args (@t36)) % 27.42/27.68 (step @p31 :rule cong :premises (@p30 @p29) :args ((=> @t36 @t35))) % 27.42/27.68 (assume-push @p108 @t36) % 27.42/27.68 (step @p33 :rule instantiate :premises (@p17) :args ((@list @t28 @t27 @t29))) % 27.42/27.68 (step-pop @p109 :rule scope :premises (@p33)) % 27.42/27.68 (step @p34 :rule process_scope :premises (@p109) :args (@t35)) % 27.42/27.68 (step @p36 :rule eq_resolve :premises (@p34 @p31)) % 27.42/27.68 (step @p37 :rule implies_elim :premises (@p36)) % 27.42/27.68 (step @p38 :rule chain_m_resolution :premises (@p37 @p17) :args (@t31 @t37 @t38)) % 27.42/27.68 (step @p39 :rule bool-eq-true :args (@t39)) % 27.42/27.68 (step @p40 :rule absorb :args ((= (or true @t40) true))) % 27.42/27.68 (step @p41 :rule refl :args (@t40)) % 27.42/27.68 (step @p42 :rule eq-refl :args (@t28)) % 27.42/27.68 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t41)) % 27.42/27.68 (step @p44 :rule trans :premises (@p43 @p40)) % 27.42/27.68 (step @p45 :rule refl :args (@t39)) % 27.42/27.68 (step @p46 :rule cong :premises (@p45 @p44) :args (@t42)) % 27.42/27.68 (step @p47 :rule trans :premises (@p46 @p39)) % 27.42/27.68 (step @p48 :rule refl :args (@t31)) % 27.42/27.68 (step @p49 :rule cong :premises (@p48 @p47) :args ((=> @t31 @t42))) % 27.42/27.68 (assume-push @p110 @t31) % 27.42/27.68 (step @p51 :rule instantiate :premises (@p38) :args (@t43)) % 27.42/27.68 (step-pop @p111 :rule scope :premises (@p51)) % 27.42/27.68 (step @p52 :rule process_scope :premises (@p111) :args (@t42)) % 27.42/27.68 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 27.42/27.68 (step @p55 :rule implies_elim :premises (@p54)) % 27.42/27.68 (step @p56 :rule chain_m_resolution :premises (@p55 @p38) :args (@t39 @t37 (@list @t31))) % 27.42/27.68 (step @p57 :rule bool-double-not-elim :args (@t17)) % 27.42/27.68 (step @p58 :rule bool-double-not-elim :args (@t19)) % 27.42/27.68 (step @p59 :rule refl :args (@t25)) % 27.42/27.68 (step @p60 :rule nary_cong :premises (@p59 @p58 @p57) :args (@t46)) % 27.42/27.68 (step @p61 :rule aci_norm :args ((= (or @t25 (or @t45 @t44)) @t46))) % 27.42/27.68 (step @p62 :rule trans :premises (@p61 @p60)) % 27.42/27.68 (step @p63 :rule bool-and-de-morgan :args (@t20 @t18 true)) % 27.42/27.68 (step @p64 :rule nary_cong :premises (@p59 @p63) :args ((or @t25 (not (and @t20 @t18))))) % 27.42/27.68 (step @p65 :rule bool-and-de-morgan :args (@t21 @t20 (and @t18))) % 27.42/27.68 (step @p66 :rule trans :premises (@p65 @p64)) % 27.42/27.68 (step @p67 :rule trans :premises (@p66 @p62)) % 27.42/27.68 (step @p68 :rule cong :premises (@p67) :args (@t23)) % 27.42/27.68 (step @p69 :rule cong :premises (@p68) :args (@t24)) % 27.42/27.68 (step @p70 :rule eq_resolve :premises (@p6 @p69)) % 27.42/27.68 (step @p71 :rule skolemize :premises (@p70)) % 27.42/27.68 (step @p72 :rule cnf_or_neg :args (@t54 2)) % 27.42/27.68 (step @p73 :rule chain_m_resolution :premises (@p72 @p71) :args ((not @t48) @t55 @t56)) % 27.42/27.68 (step @p74 :rule cnf_or_neg :args (@t54 1)) % 27.42/27.68 (step @p75 :rule chain_m_resolution :premises (@p74 @p71) :args ((not @t50) @t55 @t56)) % 27.42/27.68 (step @p76 :rule cnf_or_pos :args (@t57)) % 27.42/27.68 (step @p77 :rule reordering :premises (@p76) :args ((or @t50 @t48 @t58))) % 27.42/27.68 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p73) :args (@t58 (@list true true) (@list @t50 @t48))) % 27.42/27.68 (step @p79 :rule eq-symm :args (@t47 @t5)) % 27.42/27.68 (step @p80 :rule eq-symm :args (@t49 @t5)) % 27.42/27.68 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t59)) % 27.42/27.68 (step @p82 :rule cong :premises (@p24 @p81) :args (@t60)) % 27.42/27.68 (step @p83 :rule cong :premises (@p82) :args (@t61)) % 27.42/27.68 (step @p84 :rule eq-symm :args (@t51 @t29)) % 27.42/27.68 (step @p85 :rule cong :premises (@p84 @p83) :args (@t62)) % 27.42/27.68 (step @p86 :rule cong :premises (@p30 @p85) :args ((=> @t36 @t62))) % 27.42/27.68 (assume-push @p112 @t36) % 27.42/27.68 (step @p88 :rule instantiate :premises (@p17) :args ((@list @t49 @t47 @t29))) % 27.42/27.68 (step-pop @p113 :rule scope :premises (@p88)) % 27.42/27.68 (step @p89 :rule process_scope :premises (@p113) :args (@t62)) % 27.42/27.68 (step @p91 :rule eq_resolve :premises (@p89 @p86)) % 27.42/27.68 (step @p92 :rule implies_elim :premises (@p91)) % 27.42/27.68 (step @p93 :rule chain_m_resolution :premises (@p92 @p17) :args (@t64 @t37 @t38)) % 27.42/27.68 (step @p94 :rule bool-double-not-elim :args (@t52)) % 27.42/27.68 (step @p95 :rule refl :args (@t54)) % 27.42/27.68 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t54 (not @t53)))) % 27.42/27.68 (step @p97 :rule cnf_or_neg :args (@t54 0)) % 27.42/27.68 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 27.42/27.68 (step @p99 :rule reordering :premises (@p98) :args ((or @t52 @t54))) % 27.42/27.68 (step @p100 :rule chain_m_resolution :premises (@p99 @p71) :args (@t52 @t55 @t56)) % 27.42/27.68 (step @p101 :rule cnf_equiv_pos1 :args (@t64)) % 27.42/27.68 (step @p102 :rule reordering :premises (@p101) :args ((or @t53 @t63 (not @t64)))) % 27.42/27.68 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p93) :args (@t63 (@list false false) (@list @t52 @t64))) % 27.42/27.68 (step @p104 :rule instantiate :premises (@p103) :args (@t43)) % 27.42/27.68 (step @p105 :rule cnf_equiv_pos1 :args (@t65)) % 27.42/27.68 (step @p106 :rule reordering :premises (@p105) :args ((or (not @t39) @t57 (not @t65)))) % 27.42/27.68 (step @p107 false :rule chain_m_resolution :premises (@p106 @p104 @p78 @p56) :args (false (@list false true false) (@list @t65 @t57 @t39))) % 27.42/27.68 ) % 27.42/27.68 % SZS output end Proof % 27.42/27.68 % cvc5 exiting %------------------------------------------------------------------------------