%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU142+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 08:50:41 AM UTC 2026 % Result : Theorem 15.40s 15.60s % Output : Proof 15.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU142+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.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 16:32:21 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 15.40/15.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.40/15.60 --- Run --no-e-matching --full-saturate-quant at 6... % 15.40/15.60 % SZS status Theorem % 15.40/15.60 % SZS output start Proof % 15.40/15.60 ( % 15.40/15.60 (declare-sort $$unsorted 0) % 15.40/15.60 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.40/15.60 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.40/15.60 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.40/15.60 (define @t1 () (@var "A" $$unsorted)) % 15.40/15.60 (define @t2 () (@var "B" $$unsorted)) % 15.40/15.60 (define @t3 () (@list @t1 @t2)) % 15.40/15.60 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 15.40/15.60 (define @t5 () (@var "C" $$unsorted)) % 15.40/15.60 (define @t6 () (tptp.in @t5 @t2)) % 15.40/15.60 (define @t7 () (= @t6 (= @t5 @t1))) % 15.40/15.60 (define @t8 () (@list @t5)) % 15.40/15.60 (define @t9 () (forall @t8 @t7)) % 15.40/15.60 (define @t10 () (tptp.singleton @t1)) % 15.40/15.60 (define @t11 () (= @t2 @t10)) % 15.40/15.60 (define @t12 () (= @t11 @t9)) % 15.40/15.60 (define @t13 () (forall @t3 @t12)) % 15.40/15.60 (define @t14 () (@var "D" $$unsorted)) % 15.40/15.60 (define @t15 () (or (= @t14 @t1) (= @t14 @t2))) % 15.40/15.60 (define @t16 () (tptp.in @t14 @t5)) % 15.40/15.60 (define @t17 () (= @t16 @t15)) % 15.40/15.60 (define @t18 () (@list @t14)) % 15.40/15.60 (define @t19 () (forall @t18 @t17)) % 15.40/15.60 (define @t20 () (= (= @t5 @t4) @t19)) % 15.40/15.60 (define @t21 () (@list @t1 @t2 @t5)) % 15.40/15.60 (define @t22 () (forall @t21 @t20)) % 15.40/15.60 (define @t23 () (tptp.unordered_pair @t1 @t1)) % 15.40/15.60 (define @t24 () (@list @t1)) % 15.40/15.60 (define @t25 () (forall @t24 (= @t23 @t10))) % 15.40/15.60 (define @t26 () (not @t25)) % 15.40/15.60 (define @t27 () (@quantifiers_skolemize (forall @t24 (= @t10 @t23)) 0)) % 15.40/15.60 (define @t28 () (tptp.unordered_pair @t27 @t27)) % 15.40/15.60 (define @t29 () (tptp.in @t14 @t28)) % 15.40/15.60 (define @t30 () (forall @t18 (= @t29 (= @t14 @t27)))) % 15.40/15.60 (define @t31 () (= @t27 @t14)) % 15.40/15.60 (define @t32 () (or @t31 @t31)) % 15.40/15.60 (define @t33 () (= @t29 @t32)) % 15.40/15.60 (define @t34 () (forall @t18 @t33)) % 15.40/15.60 (define @t35 () (= (= @t28 @t28) @t34)) % 15.40/15.60 (define @t36 () (forall @t21 (= (= @t4 @t5) (forall @t18 (= @t16 (or (= @t1 @t14) (= @t2 @t14))))))) % 15.40/15.60 (define @t37 () (@list false)) % 15.40/15.60 (define @t38 () (tptp.in @t5 @t28)) % 15.40/15.60 (define @t39 () (= @t5 @t27)) % 15.40/15.60 (define @t40 () (forall @t8 (= @t39 @t38))) % 15.40/15.60 (define @t41 () (= @t27 @t5)) % 15.40/15.60 (define @t42 () (forall @t8 (= @t38 @t41))) % 15.40/15.60 (define @t43 () (tptp.singleton @t27)) % 15.40/15.60 (define @t44 () (= (= @t28 @t43) @t42)) % 15.40/15.60 (define @t45 () (forall @t3 (= @t11 (forall @t8 (= @t6 (= @t1 @t5)))))) % 15.40/15.60 (define @t46 () (= @t43 @t28)) % 15.40/15.60 (define @t47 () (= @t46 @t40)) % 15.40/15.60 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 15.40/15.60 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 15.40/15.60 (assume @p3 @t13) % 15.40/15.60 (assume @p4 @t22) % 15.40/15.60 (assume @p5 true) % 15.40/15.60 (assume @p6 (forall @t3 (=> (forall @t8 (= (tptp.in @t5 @t1) @t6)) (= @t1 @t2)))) % 15.40/15.60 (assume @p7 @t26) % 15.40/15.60 (step @p8 :rule eq-symm :args (@t23 @t10)) % 15.40/15.60 (step @p9 :rule cong :premises (@p8) :args (@t25)) % 15.40/15.60 (step @p10 :rule cong :premises (@p9) :args (@t26)) % 15.40/15.60 (step @p11 :rule eq_resolve :premises (@p7 @p10)) % 15.40/15.60 (step @p12 :rule skolemize :premises (@p11)) % 15.40/15.60 (step @p13 :rule eq-symm :args (@t14 @t2)) % 15.40/15.60 (step @p14 :rule eq-symm :args (@t14 @t1)) % 15.40/15.60 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t15)) % 15.40/15.60 (step @p16 :rule refl :args (@t16)) % 15.40/15.60 (step @p17 :rule cong :premises (@p16 @p15) :args (@t17)) % 15.40/15.60 (step @p18 :rule cong :premises (@p17) :args (@t19)) % 15.40/15.60 (step @p19 :rule eq-symm :args (@t5 @t4)) % 15.40/15.60 (step @p20 :rule cong :premises (@p19 @p18) :args (@t20)) % 15.40/15.60 (step @p21 :rule cong :premises (@p20) :args (@t22)) % 15.40/15.60 (step @p22 :rule eq_resolve :premises (@p4 @p21)) % 15.40/15.60 (step @p23 :rule bool-eq-true :args (@t30)) % 15.40/15.60 (step @p24 :rule eq-symm :args (true @t30)) % 15.40/15.60 (step @p25 :rule trans :premises (@p24 @p23)) % 15.40/15.60 (step @p26 :rule eq-symm :args (@t27 @t14)) % 15.40/15.60 (step @p27 :rule aci_norm :args ((= @t32 @t31))) % 15.40/15.60 (step @p28 :rule trans :premises (@p27 @p26)) % 15.40/15.60 (step @p29 :rule refl :args (@t29)) % 15.40/15.60 (step @p30 :rule cong :premises (@p29 @p28) :args (@t33)) % 15.40/15.60 (step @p31 :rule cong :premises (@p30) :args (@t34)) % 15.40/15.60 (step @p32 :rule eq-refl :args (@t28)) % 15.40/15.60 (step @p33 :rule cong :premises (@p32 @p31) :args (@t35)) % 15.40/15.60 (step @p34 :rule trans :premises (@p33 @p25)) % 15.40/15.60 (step @p35 :rule refl :args (@t36)) % 15.40/15.60 (step @p36 :rule cong :premises (@p35 @p34) :args ((=> @t36 @t35))) % 15.40/15.60 (assume-push @p78 @t36) % 15.40/15.60 (step @p38 :rule instantiate :premises (@p22) :args ((@list @t27 @t27 @t28))) % 15.40/15.60 (step-pop @p79 :rule scope :premises (@p38)) % 15.40/15.60 (step @p39 :rule process_scope :premises (@p79) :args (@t35)) % 15.40/15.60 (step @p41 :rule eq_resolve :premises (@p39 @p36)) % 15.40/15.60 (step @p42 :rule implies_elim :premises (@p41)) % 15.40/15.60 (step @p43 :rule chain_m_resolution :premises (@p42 @p22) :args (@t30 @t37 (@list @t36))) % 15.40/15.60 (step @p44 :rule eq-symm :args (@t38 @t39)) % 15.40/15.60 (step @p45 :rule cong :premises (@p44) :args ((forall @t8 (= @t38 @t39)))) % 15.40/15.60 (step @p46 :rule alpha_equiv :args (@t30 (@list @t14) (@list @t5))) % 15.40/15.60 (step @p47 :rule trans :premises (@p46 @p45)) % 15.40/15.60 (step @p48 :rule equiv_elim1 :premises (@p47)) % 15.40/15.60 (step @p49 :rule chain_m_resolution :premises (@p48 @p43) :args (@t40 @t37 (@list @t30))) % 15.40/15.60 (step @p50 :rule eq-symm :args (@t5 @t1)) % 15.40/15.60 (step @p51 :rule refl :args (@t6)) % 15.40/15.60 (step @p52 :rule cong :premises (@p51 @p50) :args (@t7)) % 15.40/15.60 (step @p53 :rule cong :premises (@p52) :args (@t9)) % 15.40/15.60 (step @p54 :rule refl :args (@t11)) % 15.40/15.60 (step @p55 :rule cong :premises (@p54 @p53) :args (@t12)) % 15.40/15.60 (step @p56 :rule cong :premises (@p55) :args (@t13)) % 15.40/15.60 (step @p57 :rule eq_resolve :premises (@p3 @p56)) % 15.40/15.60 (step @p58 :rule refl :args (@t38)) % 15.40/15.60 (step @p59 :rule eq-symm :args (@t27 @t5)) % 15.40/15.60 (step @p60 :rule cong :premises (@p59 @p58) :args ((= @t41 @t38))) % 15.40/15.60 (step @p61 :rule eq-symm :args (@t38 @t41)) % 15.40/15.60 (step @p62 :rule trans :premises (@p61 @p60)) % 15.40/15.60 (step @p63 :rule cong :premises (@p62) :args (@t42)) % 15.40/15.60 (step @p64 :rule eq-symm :args (@t28 @t43)) % 15.40/15.60 (step @p65 :rule cong :premises (@p64 @p63) :args (@t44)) % 15.40/15.60 (step @p66 :rule refl :args (@t45)) % 15.40/15.60 (step @p67 :rule cong :premises (@p66 @p65) :args ((=> @t45 @t44))) % 15.40/15.60 (assume-push @p80 @t45) % 15.40/15.60 (step @p69 :rule instantiate :premises (@p57) :args ((@list @t27 @t28))) % 15.40/15.60 (step-pop @p81 :rule scope :premises (@p69)) % 15.40/15.60 (step @p70 :rule process_scope :premises (@p81) :args (@t44)) % 15.40/15.60 (step @p72 :rule eq_resolve :premises (@p70 @p67)) % 15.40/15.60 (step @p73 :rule implies_elim :premises (@p72)) % 15.40/15.60 (step @p74 :rule chain_m_resolution :premises (@p73 @p57) :args (@t47 @t37 (@list @t45))) % 15.40/15.60 (step @p75 :rule cnf_equiv_pos2 :args (@t47)) % 15.40/15.60 (step @p76 :rule reordering :premises (@p75) :args ((or @t46 (not @t40) (not @t47)))) % 15.40/15.60 (step @p77 false :rule chain_m_resolution :premises (@p76 @p74 @p49 @p12) :args (false (@list false false true) (@list @t47 @t40 @t46))) % 15.40/15.60 ) % 15.40/15.60 % SZS output end Proof % 15.40/15.60 % cvc5 exiting %------------------------------------------------------------------------------