%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU149+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 : n017.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 08:50:43 AM UTC 2026 % Result : Theorem 15.45s 15.61s % Output : Proof 15.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU149+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 % 0.17/0.34 % Computer : n017.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 16:31:01 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 15.45/15.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.45/15.61 --- Run --no-e-matching --full-saturate-quant at 6... % 15.45/15.61 % SZS status Theorem % 15.45/15.61 % SZS output start Proof % 15.45/15.61 ( % 15.45/15.61 (declare-sort $$unsorted 0) % 15.45/15.61 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.45/15.61 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.45/15.61 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.45/15.61 (define @t1 () (@var "A" $$unsorted)) % 15.45/15.61 (define @t2 () (@var "B" $$unsorted)) % 15.45/15.61 (define @t3 () (@list @t1 @t2)) % 15.45/15.61 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 15.45/15.61 (define @t5 () (@var "C" $$unsorted)) % 15.45/15.61 (define @t6 () (tptp.in @t5 @t2)) % 15.45/15.61 (define @t7 () (= @t6 (= @t5 @t1))) % 15.45/15.61 (define @t8 () (@list @t5)) % 15.45/15.61 (define @t9 () (forall @t8 @t7)) % 15.45/15.61 (define @t10 () (tptp.singleton @t1)) % 15.45/15.61 (define @t11 () (= @t2 @t10)) % 15.45/15.61 (define @t12 () (= @t11 @t9)) % 15.45/15.61 (define @t13 () (forall @t3 @t12)) % 15.45/15.61 (define @t14 () (@var "D" $$unsorted)) % 15.45/15.61 (define @t15 () (or (= @t14 @t1) (= @t14 @t2))) % 15.45/15.61 (define @t16 () (tptp.in @t14 @t5)) % 15.45/15.61 (define @t17 () (= @t16 @t15)) % 15.45/15.61 (define @t18 () (@list @t14)) % 15.45/15.61 (define @t19 () (forall @t18 @t17)) % 15.45/15.61 (define @t20 () (= (= @t5 @t4) @t19)) % 15.45/15.61 (define @t21 () (@list @t1 @t2 @t5)) % 15.45/15.61 (define @t22 () (forall @t21 @t20)) % 15.45/15.61 (define @t23 () (= @t1 @t2)) % 15.45/15.61 (define @t24 () (= @t10 (tptp.unordered_pair @t2 @t5))) % 15.45/15.61 (define @t25 () (forall @t21 (=> @t24 @t23))) % 15.45/15.61 (define @t26 () (not @t25)) % 15.45/15.61 (define @t27 () (forall @t21 (or (not @t24) @t23))) % 15.45/15.61 (define @t28 () (@quantifiers_skolemize @t27 0)) % 15.45/15.61 (define @t29 () (tptp.singleton @t28)) % 15.45/15.61 (define @t30 () (tptp.in @t5 @t29)) % 15.45/15.61 (define @t31 () (forall @t8 (= (= @t5 @t28) @t30))) % 15.45/15.61 (define @t32 () (= @t28 @t5)) % 15.45/15.61 (define @t33 () (forall @t8 (= @t30 @t32))) % 15.45/15.61 (define @t34 () (= (= @t29 @t29) @t33)) % 15.45/15.61 (define @t35 () (forall @t3 (= @t11 (forall @t8 (= @t6 (= @t1 @t5)))))) % 15.45/15.61 (define @t36 () (@list false)) % 15.45/15.61 (define @t37 () (@quantifiers_skolemize @t27 2)) % 15.45/15.61 (define @t38 () (@quantifiers_skolemize @t27 1)) % 15.45/15.61 (define @t39 () (or (= @t38 @t14) (= @t37 @t14))) % 15.45/15.61 (define @t40 () (tptp.in @t14 @t29)) % 15.45/15.61 (define @t41 () (= @t40 @t39)) % 15.45/15.61 (define @t42 () (forall @t18 @t41)) % 15.45/15.61 (define @t43 () (tptp.unordered_pair @t38 @t37)) % 15.45/15.61 (define @t44 () (= (= @t43 @t29) @t42)) % 15.45/15.61 (define @t45 () (forall @t21 (= (= @t4 @t5) (forall @t18 (= @t16 (or (= @t1 @t14) (= @t2 @t14))))))) % 15.45/15.61 (define @t46 () (forall @t18 (= @t40 (or (= @t14 @t38) (= @t14 @t37))))) % 15.45/15.61 (define @t47 () (= @t29 @t43)) % 15.45/15.61 (define @t48 () (= @t47 @t46)) % 15.45/15.61 (define @t49 () (= @t28 @t38)) % 15.45/15.61 (define @t50 () (not @t47)) % 15.45/15.61 (define @t51 () (or @t50 @t49)) % 15.45/15.61 (define @t52 () (@list true)) % 15.45/15.61 (define @t53 () (@list @t51)) % 15.45/15.61 (define @t54 () (tptp.in @t38 @t29)) % 15.45/15.61 (define @t55 () (= @t38 @t37)) % 15.45/15.61 (define @t56 () (or (= @t38 @t38) @t55)) % 15.45/15.61 (define @t57 () (= @t54 @t56)) % 15.45/15.61 (define @t58 () (@list @t38)) % 15.45/15.61 (define @t59 () (= @t49 @t54)) % 15.45/15.61 (define @t60 () (not @t59)) % 15.45/15.61 (define @t61 () (@list true false)) % 15.45/15.61 (define @t62 () (= @t38 @t28)) % 15.45/15.61 (define @t63 () (= @t62 @t54)) % 15.45/15.61 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 15.45/15.61 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 15.45/15.61 (assume @p3 @t13) % 15.45/15.61 (assume @p4 @t22) % 15.45/15.61 (assume @p5 true) % 15.45/15.61 (assume @p6 @t26) % 15.45/15.61 (step @p7 :rule eq-symm :args (@t5 @t1)) % 15.45/15.61 (step @p8 :rule refl :args (@t6)) % 15.45/15.61 (step @p9 :rule cong :premises (@p8 @p7) :args (@t7)) % 15.45/15.61 (step @p10 :rule cong :premises (@p9) :args (@t9)) % 15.45/15.61 (step @p11 :rule refl :args (@t11)) % 15.45/15.61 (step @p12 :rule cong :premises (@p11 @p10) :args (@t12)) % 15.45/15.61 (step @p13 :rule cong :premises (@p12) :args (@t13)) % 15.45/15.61 (step @p14 :rule eq_resolve :premises (@p3 @p13)) % 15.45/15.61 (step @p15 :rule bool-eq-true :args (@t31)) % 15.45/15.61 (step @p16 :rule eq-symm :args (true @t31)) % 15.45/15.61 (step @p17 :rule trans :premises (@p16 @p15)) % 15.45/15.61 (step @p18 :rule refl :args (@t30)) % 15.45/15.61 (step @p19 :rule eq-symm :args (@t28 @t5)) % 15.45/15.61 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t32 @t30))) % 15.45/15.61 (step @p21 :rule eq-symm :args (@t30 @t32)) % 15.45/15.61 (step @p22 :rule trans :premises (@p21 @p20)) % 15.45/15.61 (step @p23 :rule cong :premises (@p22) :args (@t33)) % 15.45/15.61 (step @p24 :rule eq-refl :args (@t29)) % 15.45/15.61 (step @p25 :rule cong :premises (@p24 @p23) :args (@t34)) % 15.45/15.61 (step @p26 :rule trans :premises (@p25 @p17)) % 15.45/15.61 (step @p27 :rule refl :args (@t35)) % 15.45/15.61 (step @p28 :rule cong :premises (@p27 @p26) :args ((=> @t35 @t34))) % 15.45/15.61 (assume-push @p116 @t35) % 15.45/15.61 (step @p30 :rule instantiate :premises (@p14) :args ((@list @t28 @t29))) % 15.45/15.61 (step-pop @p117 :rule scope :premises (@p30)) % 15.45/15.61 (step @p31 :rule process_scope :premises (@p117) :args (@t34)) % 15.45/15.61 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 15.45/15.61 (step @p34 :rule implies_elim :premises (@p33)) % 15.45/15.61 (step @p35 :rule chain_m_resolution :premises (@p34 @p14) :args (@t31 @t36 (@list @t35))) % 15.45/15.61 (step @p36 :rule eq-symm :args (@t14 @t2)) % 15.45/15.61 (step @p37 :rule eq-symm :args (@t14 @t1)) % 15.45/15.61 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t15)) % 15.45/15.61 (step @p39 :rule refl :args (@t16)) % 15.45/15.61 (step @p40 :rule cong :premises (@p39 @p38) :args (@t17)) % 15.45/15.61 (step @p41 :rule cong :premises (@p40) :args (@t19)) % 15.45/15.61 (step @p42 :rule eq-symm :args (@t5 @t4)) % 15.45/15.61 (step @p43 :rule cong :premises (@p42 @p41) :args (@t20)) % 15.45/15.61 (step @p44 :rule cong :premises (@p43) :args (@t22)) % 15.45/15.61 (step @p45 :rule eq_resolve :premises (@p4 @p44)) % 15.45/15.61 (step @p46 :rule eq-symm :args (@t37 @t14)) % 15.45/15.61 (step @p47 :rule eq-symm :args (@t38 @t14)) % 15.45/15.61 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t39)) % 15.45/15.61 (step @p49 :rule refl :args (@t40)) % 15.45/15.61 (step @p50 :rule cong :premises (@p49 @p48) :args (@t41)) % 15.45/15.61 (step @p51 :rule cong :premises (@p50) :args (@t42)) % 15.45/15.61 (step @p52 :rule eq-symm :args (@t43 @t29)) % 15.45/15.61 (step @p53 :rule cong :premises (@p52 @p51) :args (@t44)) % 15.45/15.61 (step @p54 :rule refl :args (@t45)) % 15.45/15.61 (step @p55 :rule cong :premises (@p54 @p53) :args ((=> @t45 @t44))) % 15.45/15.61 (assume-push @p118 @t45) % 15.45/15.61 (step @p57 :rule instantiate :premises (@p45) :args ((@list @t38 @t37 @t29))) % 15.45/15.61 (step-pop @p119 :rule scope :premises (@p57)) % 15.45/15.61 (step @p58 :rule process_scope :premises (@p119) :args (@t44)) % 15.45/15.61 (step @p60 :rule eq_resolve :premises (@p58 @p55)) % 15.45/15.61 (step @p61 :rule implies_elim :premises (@p60)) % 15.45/15.61 (step @p62 :rule chain_m_resolution :premises (@p61 @p45) :args (@t48 @t36 (@list @t45))) % 15.45/15.61 (step @p63 :rule bool-impl-elim :args (@t24 @t23)) % 15.45/15.61 (step @p64 :rule cong :premises (@p63) :args (@t25)) % 15.45/15.61 (step @p65 :rule cong :premises (@p64) :args (@t26)) % 15.45/15.61 (step @p66 :rule eq_resolve :premises (@p6 @p65)) % 15.45/15.61 (step @p67 :rule skolemize :premises (@p66)) % 15.45/15.61 (step @p68 :rule bool-double-not-elim :args (@t47)) % 15.45/15.61 (step @p69 :rule refl :args (@t51)) % 15.45/15.61 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t51 (not @t50)))) % 15.45/15.61 (step @p71 :rule cnf_or_neg :args (@t51 0)) % 15.45/15.61 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 15.45/15.61 (step @p73 :rule reordering :premises (@p72) :args ((or @t47 @t51))) % 15.45/15.61 (step @p74 :rule chain_m_resolution :premises (@p73 @p67) :args (@t47 @t52 @t53)) % 15.45/15.61 (step @p75 :rule cnf_equiv_pos1 :args (@t48)) % 15.45/15.61 (step @p76 :rule reordering :premises (@p75) :args ((or @t50 @t46 (not @t48)))) % 15.45/15.61 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p62) :args (@t46 (@list false false) (@list @t47 @t48))) % 15.45/15.61 (step @p78 :rule bool-eq-true :args (@t54)) % 15.45/15.61 (step @p79 :rule absorb :args ((= (or true @t55) true))) % 15.45/15.61 (step @p80 :rule refl :args (@t55)) % 15.45/15.61 (step @p81 :rule eq-refl :args (@t38)) % 15.45/15.61 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t56)) % 15.45/15.61 (step @p83 :rule trans :premises (@p82 @p79)) % 15.45/15.61 (step @p84 :rule refl :args (@t54)) % 15.45/15.61 (step @p85 :rule cong :premises (@p84 @p83) :args (@t57)) % 15.45/15.61 (step @p86 :rule trans :premises (@p85 @p78)) % 15.45/15.61 (step @p87 :rule refl :args (@t46)) % 15.45/15.61 (step @p88 :rule cong :premises (@p87 @p86) :args ((=> @t46 @t57))) % 15.45/15.61 (assume-push @p120 @t46) % 15.45/15.61 (step @p90 :rule instantiate :premises (@p77) :args (@t58)) % 15.45/15.61 (step-pop @p121 :rule scope :premises (@p90)) % 15.45/15.61 (step @p91 :rule process_scope :premises (@p121) :args (@t57)) % 15.45/15.61 (step @p93 :rule eq_resolve :premises (@p91 @p88)) % 15.45/15.61 (step @p94 :rule implies_elim :premises (@p93)) % 15.45/15.61 (step @p95 :rule chain_m_resolution :premises (@p94 @p77) :args (@t54 @t36 (@list @t46))) % 15.45/15.61 (step @p96 :rule cnf_or_neg :args (@t51 1)) % 15.45/15.61 (step @p97 :rule chain_m_resolution :premises (@p96 @p67) :args ((not @t49) @t52 @t53)) % 15.45/15.61 (step @p98 :rule cnf_equiv_pos2 :args (@t59)) % 15.45/15.61 (step @p99 :rule reordering :premises (@p98) :args ((or @t49 (not @t54) @t60))) % 15.45/15.61 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p95) :args (@t60 @t61 (@list @t49 @t54))) % 15.45/15.61 (step @p101 :rule eq-symm :args (@t54 @t49)) % 15.45/15.61 (step @p102 :rule eq-symm :args (@t38 @t28)) % 15.45/15.61 (step @p103 :rule cong :premises (@p84 @p102) :args ((= @t54 @t62))) % 15.45/15.61 (step @p104 :rule trans :premises (@p103 @p101)) % 15.45/15.61 (step @p105 :rule eq-symm :args (@t62 @t54)) % 15.45/15.61 (step @p106 :rule trans :premises (@p105 @p104)) % 15.45/15.61 (step @p107 :rule refl :args (@t31)) % 15.45/15.61 (step @p108 :rule cong :premises (@p107 @p106) :args ((=> @t31 @t63))) % 15.45/15.61 (assume-push @p122 @t31) % 15.45/15.61 (step @p110 :rule instantiate :premises (@p35) :args (@t58)) % 15.45/15.61 (step-pop @p123 :rule scope :premises (@p110)) % 15.45/15.61 (step @p111 :rule process_scope :premises (@p123) :args (@t63)) % 15.45/15.61 (step @p113 :rule eq_resolve :premises (@p111 @p108)) % 15.45/15.61 (step @p114 :rule implies_elim :premises (@p113)) % 15.45/15.61 (step @p115 false :rule chain_m_resolution :premises (@p114 @p100 @p35) :args (false @t61 (@list @t59 @t31))) % 15.45/15.61 ) % 15.45/15.61 % SZS output end Proof % 15.45/15.61 % cvc5 exiting %------------------------------------------------------------------------------