%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU149+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 : n029.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 15.42s 15.64s % Output : Proof 15.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU149+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 : n029.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 16:32:32 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 15.42/15.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.42/15.64 --- Run --no-e-matching --full-saturate-quant at 6... % 15.42/15.64 % SZS status Theorem % 15.42/15.64 % SZS output start Proof % 15.42/15.64 ( % 15.42/15.64 (declare-sort $$unsorted 0) % 15.42/15.64 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.42/15.64 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.42/15.64 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.42/15.64 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.42/15.64 (define @t1 () (@var "A" $$unsorted)) % 15.42/15.64 (define @t2 () (@var "B" $$unsorted)) % 15.42/15.64 (define @t3 () (@list @t1 @t2)) % 15.42/15.64 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 15.42/15.64 (define @t5 () (@var "C" $$unsorted)) % 15.42/15.64 (define @t6 () (tptp.in @t5 @t2)) % 15.42/15.64 (define @t7 () (= @t6 (= @t5 @t1))) % 15.42/15.64 (define @t8 () (@list @t5)) % 15.42/15.64 (define @t9 () (forall @t8 @t7)) % 15.42/15.64 (define @t10 () (tptp.singleton @t1)) % 15.42/15.64 (define @t11 () (= @t2 @t10)) % 15.42/15.64 (define @t12 () (= @t11 @t9)) % 15.42/15.64 (define @t13 () (forall @t3 @t12)) % 15.42/15.64 (define @t14 () (@var "D" $$unsorted)) % 15.42/15.64 (define @t15 () (or (= @t14 @t1) (= @t14 @t2))) % 15.42/15.64 (define @t16 () (tptp.in @t14 @t5)) % 15.42/15.64 (define @t17 () (= @t16 @t15)) % 15.42/15.64 (define @t18 () (@list @t14)) % 15.42/15.64 (define @t19 () (forall @t18 @t17)) % 15.42/15.64 (define @t20 () (= (= @t5 @t4) @t19)) % 15.42/15.64 (define @t21 () (@list @t1 @t2 @t5)) % 15.42/15.64 (define @t22 () (forall @t21 @t20)) % 15.42/15.64 (define @t23 () (tptp.empty @t1)) % 15.42/15.64 (define @t24 () (@list @t1)) % 15.42/15.64 (define @t25 () (= @t1 @t2)) % 15.42/15.64 (define @t26 () (= @t10 (tptp.unordered_pair @t2 @t5))) % 15.42/15.64 (define @t27 () (forall @t21 (=> @t26 @t25))) % 15.42/15.64 (define @t28 () (not @t27)) % 15.42/15.64 (define @t29 () (forall @t21 (or (not @t26) @t25))) % 15.42/15.64 (define @t30 () (@quantifiers_skolemize @t29 0)) % 15.42/15.64 (define @t31 () (tptp.singleton @t30)) % 15.42/15.64 (define @t32 () (tptp.in @t5 @t31)) % 15.42/15.64 (define @t33 () (forall @t8 (= (= @t5 @t30) @t32))) % 15.42/15.64 (define @t34 () (= @t30 @t5)) % 15.42/15.64 (define @t35 () (forall @t8 (= @t32 @t34))) % 15.42/15.64 (define @t36 () (= (= @t31 @t31) @t35)) % 15.42/15.64 (define @t37 () (forall @t3 (= @t11 (forall @t8 (= @t6 (= @t1 @t5)))))) % 15.42/15.64 (define @t38 () (@list false)) % 15.42/15.64 (define @t39 () (@quantifiers_skolemize @t29 2)) % 15.42/15.64 (define @t40 () (@quantifiers_skolemize @t29 1)) % 15.42/15.64 (define @t41 () (or (= @t40 @t14) (= @t39 @t14))) % 15.42/15.64 (define @t42 () (tptp.in @t14 @t31)) % 15.42/15.64 (define @t43 () (= @t42 @t41)) % 15.42/15.64 (define @t44 () (forall @t18 @t43)) % 15.42/15.64 (define @t45 () (tptp.unordered_pair @t40 @t39)) % 15.42/15.64 (define @t46 () (= (= @t45 @t31) @t44)) % 15.42/15.64 (define @t47 () (forall @t21 (= (= @t4 @t5) (forall @t18 (= @t16 (or (= @t1 @t14) (= @t2 @t14))))))) % 15.42/15.64 (define @t48 () (forall @t18 (= @t42 (or (= @t14 @t40) (= @t14 @t39))))) % 15.42/15.64 (define @t49 () (= @t31 @t45)) % 15.42/15.64 (define @t50 () (= @t49 @t48)) % 15.42/15.64 (define @t51 () (= @t30 @t40)) % 15.42/15.64 (define @t52 () (not @t49)) % 15.42/15.64 (define @t53 () (or @t52 @t51)) % 15.42/15.64 (define @t54 () (@list true)) % 15.42/15.64 (define @t55 () (@list @t53)) % 15.42/15.64 (define @t56 () (tptp.in @t40 @t31)) % 15.42/15.64 (define @t57 () (= @t40 @t39)) % 15.42/15.64 (define @t58 () (or (= @t40 @t40) @t57)) % 15.42/15.64 (define @t59 () (= @t56 @t58)) % 15.42/15.64 (define @t60 () (@list @t40)) % 15.42/15.64 (define @t61 () (= @t51 @t56)) % 15.42/15.64 (define @t62 () (not @t61)) % 15.42/15.64 (define @t63 () (@list true false)) % 15.42/15.64 (define @t64 () (= @t40 @t30)) % 15.42/15.64 (define @t65 () (= @t64 @t56)) % 15.42/15.64 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 15.42/15.64 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 15.42/15.64 (assume @p3 @t13) % 15.42/15.64 (assume @p4 @t22) % 15.42/15.64 (assume @p5 (exists @t24 @t23)) % 15.42/15.64 (assume @p6 (exists @t24 (not @t23))) % 15.42/15.64 (assume @p7 @t28) % 15.42/15.64 (assume @p8 true) % 15.42/15.64 (step @p9 :rule eq-symm :args (@t5 @t1)) % 15.42/15.64 (step @p10 :rule refl :args (@t6)) % 15.42/15.64 (step @p11 :rule cong :premises (@p10 @p9) :args (@t7)) % 15.42/15.64 (step @p12 :rule cong :premises (@p11) :args (@t9)) % 15.42/15.64 (step @p13 :rule refl :args (@t11)) % 15.42/15.64 (step @p14 :rule cong :premises (@p13 @p12) :args (@t12)) % 15.42/15.64 (step @p15 :rule cong :premises (@p14) :args (@t13)) % 15.42/15.64 (step @p16 :rule eq_resolve :premises (@p3 @p15)) % 15.42/15.64 (step @p17 :rule bool-eq-true :args (@t33)) % 15.42/15.64 (step @p18 :rule eq-symm :args (true @t33)) % 15.42/15.64 (step @p19 :rule trans :premises (@p18 @p17)) % 15.42/15.64 (step @p20 :rule refl :args (@t32)) % 15.42/15.64 (step @p21 :rule eq-symm :args (@t30 @t5)) % 15.42/15.64 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t34 @t32))) % 15.42/15.64 (step @p23 :rule eq-symm :args (@t32 @t34)) % 15.42/15.64 (step @p24 :rule trans :premises (@p23 @p22)) % 15.42/15.64 (step @p25 :rule cong :premises (@p24) :args (@t35)) % 15.42/15.64 (step @p26 :rule eq-refl :args (@t31)) % 15.42/15.64 (step @p27 :rule cong :premises (@p26 @p25) :args (@t36)) % 15.42/15.64 (step @p28 :rule trans :premises (@p27 @p19)) % 15.42/15.64 (step @p29 :rule refl :args (@t37)) % 15.42/15.64 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t37 @t36))) % 15.42/15.64 (assume-push @p118 @t37) % 15.42/15.64 (step @p32 :rule instantiate :premises (@p16) :args ((@list @t30 @t31))) % 15.42/15.64 (step-pop @p119 :rule scope :premises (@p32)) % 15.42/15.64 (step @p33 :rule process_scope :premises (@p119) :args (@t36)) % 15.42/15.64 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 15.42/15.64 (step @p36 :rule implies_elim :premises (@p35)) % 15.42/15.64 (step @p37 :rule chain_m_resolution :premises (@p36 @p16) :args (@t33 @t38 (@list @t37))) % 15.42/15.64 (step @p38 :rule eq-symm :args (@t14 @t2)) % 15.42/15.64 (step @p39 :rule eq-symm :args (@t14 @t1)) % 15.42/15.64 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t15)) % 15.42/15.64 (step @p41 :rule refl :args (@t16)) % 15.42/15.64 (step @p42 :rule cong :premises (@p41 @p40) :args (@t17)) % 15.42/15.64 (step @p43 :rule cong :premises (@p42) :args (@t19)) % 15.42/15.64 (step @p44 :rule eq-symm :args (@t5 @t4)) % 15.42/15.64 (step @p45 :rule cong :premises (@p44 @p43) :args (@t20)) % 15.42/15.64 (step @p46 :rule cong :premises (@p45) :args (@t22)) % 15.42/15.64 (step @p47 :rule eq_resolve :premises (@p4 @p46)) % 15.42/15.64 (step @p48 :rule eq-symm :args (@t39 @t14)) % 15.42/15.64 (step @p49 :rule eq-symm :args (@t40 @t14)) % 15.42/15.64 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t41)) % 15.42/15.64 (step @p51 :rule refl :args (@t42)) % 15.42/15.64 (step @p52 :rule cong :premises (@p51 @p50) :args (@t43)) % 15.42/15.64 (step @p53 :rule cong :premises (@p52) :args (@t44)) % 15.42/15.64 (step @p54 :rule eq-symm :args (@t45 @t31)) % 15.42/15.64 (step @p55 :rule cong :premises (@p54 @p53) :args (@t46)) % 15.42/15.64 (step @p56 :rule refl :args (@t47)) % 15.42/15.64 (step @p57 :rule cong :premises (@p56 @p55) :args ((=> @t47 @t46))) % 15.42/15.64 (assume-push @p120 @t47) % 15.42/15.64 (step @p59 :rule instantiate :premises (@p47) :args ((@list @t40 @t39 @t31))) % 15.42/15.64 (step-pop @p121 :rule scope :premises (@p59)) % 15.42/15.64 (step @p60 :rule process_scope :premises (@p121) :args (@t46)) % 15.42/15.64 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 15.42/15.64 (step @p63 :rule implies_elim :premises (@p62)) % 15.42/15.64 (step @p64 :rule chain_m_resolution :premises (@p63 @p47) :args (@t50 @t38 (@list @t47))) % 15.42/15.64 (step @p65 :rule bool-impl-elim :args (@t26 @t25)) % 15.42/15.64 (step @p66 :rule cong :premises (@p65) :args (@t27)) % 15.42/15.64 (step @p67 :rule cong :premises (@p66) :args (@t28)) % 15.42/15.64 (step @p68 :rule eq_resolve :premises (@p7 @p67)) % 15.42/15.64 (step @p69 :rule skolemize :premises (@p68)) % 15.42/15.64 (step @p70 :rule bool-double-not-elim :args (@t49)) % 15.42/15.64 (step @p71 :rule refl :args (@t53)) % 15.42/15.64 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or @t53 (not @t52)))) % 15.42/15.64 (step @p73 :rule cnf_or_neg :args (@t53 0)) % 15.42/15.64 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 15.42/15.64 (step @p75 :rule reordering :premises (@p74) :args ((or @t49 @t53))) % 15.42/15.64 (step @p76 :rule chain_m_resolution :premises (@p75 @p69) :args (@t49 @t54 @t55)) % 15.42/15.64 (step @p77 :rule cnf_equiv_pos1 :args (@t50)) % 15.42/15.64 (step @p78 :rule reordering :premises (@p77) :args ((or @t52 @t48 (not @t50)))) % 15.42/15.64 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p64) :args (@t48 (@list false false) (@list @t49 @t50))) % 15.42/15.64 (step @p80 :rule bool-eq-true :args (@t56)) % 15.42/15.64 (step @p81 :rule absorb :args ((= (or true @t57) true))) % 15.42/15.64 (step @p82 :rule refl :args (@t57)) % 15.42/15.64 (step @p83 :rule eq-refl :args (@t40)) % 15.42/15.64 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t58)) % 15.42/15.64 (step @p85 :rule trans :premises (@p84 @p81)) % 15.42/15.64 (step @p86 :rule refl :args (@t56)) % 15.42/15.64 (step @p87 :rule cong :premises (@p86 @p85) :args (@t59)) % 15.42/15.64 (step @p88 :rule trans :premises (@p87 @p80)) % 15.42/15.64 (step @p89 :rule refl :args (@t48)) % 15.42/15.64 (step @p90 :rule cong :premises (@p89 @p88) :args ((=> @t48 @t59))) % 15.42/15.64 (assume-push @p122 @t48) % 15.42/15.64 (step @p92 :rule instantiate :premises (@p79) :args (@t60)) % 15.42/15.64 (step-pop @p123 :rule scope :premises (@p92)) % 15.42/15.64 (step @p93 :rule process_scope :premises (@p123) :args (@t59)) % 15.42/15.64 (step @p95 :rule eq_resolve :premises (@p93 @p90)) % 15.42/15.64 (step @p96 :rule implies_elim :premises (@p95)) % 15.42/15.64 (step @p97 :rule chain_m_resolution :premises (@p96 @p79) :args (@t56 @t38 (@list @t48))) % 15.42/15.64 (step @p98 :rule cnf_or_neg :args (@t53 1)) % 15.42/15.64 (step @p99 :rule chain_m_resolution :premises (@p98 @p69) :args ((not @t51) @t54 @t55)) % 15.42/15.64 (step @p100 :rule cnf_equiv_pos2 :args (@t61)) % 15.42/15.64 (step @p101 :rule reordering :premises (@p100) :args ((or @t51 (not @t56) @t62))) % 15.42/15.64 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p97) :args (@t62 @t63 (@list @t51 @t56))) % 15.42/15.64 (step @p103 :rule eq-symm :args (@t56 @t51)) % 15.42/15.64 (step @p104 :rule eq-symm :args (@t40 @t30)) % 15.42/15.64 (step @p105 :rule cong :premises (@p86 @p104) :args ((= @t56 @t64))) % 15.42/15.64 (step @p106 :rule trans :premises (@p105 @p103)) % 15.42/15.64 (step @p107 :rule eq-symm :args (@t64 @t56)) % 15.42/15.64 (step @p108 :rule trans :premises (@p107 @p106)) % 15.42/15.64 (step @p109 :rule refl :args (@t33)) % 15.42/15.64 (step @p110 :rule cong :premises (@p109 @p108) :args ((=> @t33 @t65))) % 15.42/15.64 (assume-push @p124 @t33) % 15.42/15.64 (step @p112 :rule instantiate :premises (@p37) :args (@t60)) % 15.42/15.64 (step-pop @p125 :rule scope :premises (@p112)) % 15.42/15.64 (step @p113 :rule process_scope :premises (@p125) :args (@t65)) % 15.42/15.64 (step @p115 :rule eq_resolve :premises (@p113 @p110)) % 15.42/15.64 (step @p116 :rule implies_elim :premises (@p115)) % 15.42/15.64 (step @p117 false :rule chain_m_resolution :premises (@p116 @p102 @p37) :args (false @t63 (@list @t61 @t33))) % 15.42/15.64 ) % 15.42/15.64 % SZS output end Proof % 15.42/15.65 % cvc5 exiting %------------------------------------------------------------------------------