%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU143+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 0.15s 0.36s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU143+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 11:31:45 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.36 % SZS status Theorem % 0.15/0.36 % SZS output start Proof % 0.15/0.36 ( % 0.15/0.36 (declare-sort $$unsorted 0) % 0.15/0.36 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.empty_set $$unsorted) % 0.15/0.36 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.15/0.36 (define @t1 () (@var "A" $$unsorted)) % 0.15/0.36 (define @t2 () (@var "B" $$unsorted)) % 0.15/0.36 (define @t3 () (not (tptp.in @t2 @t1))) % 0.15/0.36 (define @t4 () (@list @t1 @t2)) % 0.15/0.36 (define @t5 () (@var "C" $$unsorted)) % 0.15/0.36 (define @t6 () (tptp.in @t5 @t2)) % 0.15/0.36 (define @t7 () (= @t6 (= @t5 @t1))) % 0.15/0.36 (define @t8 () (@list @t5)) % 0.15/0.36 (define @t9 () (forall @t8 @t7)) % 0.15/0.36 (define @t10 () (tptp.singleton @t1)) % 0.15/0.36 (define @t11 () (= @t2 @t10)) % 0.15/0.36 (define @t12 () (= @t11 @t9)) % 0.15/0.36 (define @t13 () (forall @t4 @t12)) % 0.15/0.36 (define @t14 () (@list @t2)) % 0.15/0.36 (define @t15 () (@list @t1)) % 0.15/0.36 (define @t16 () (forall @t15 (= (= @t1 tptp.empty_set) (forall @t14 @t3)))) % 0.15/0.36 (define @t17 () (forall @t15 (not (= @t10 tptp.empty_set)))) % 0.15/0.36 (define @t18 () (not @t17)) % 0.15/0.36 (define @t19 () (tptp.empty @t1)) % 0.15/0.36 (define @t20 () (forall @t14 (not (tptp.in @t2 tptp.empty_set)))) % 0.15/0.36 (define @t21 () (= (= tptp.empty_set tptp.empty_set) @t20)) % 0.15/0.36 (define @t22 () (@list false)) % 0.15/0.36 (define @t23 () (@quantifiers_skolemize @t17 0)) % 0.15/0.36 (define @t24 () (tptp.in @t5 tptp.empty_set)) % 0.15/0.36 (define @t25 () (= @t24 (= @t23 @t5))) % 0.15/0.36 (define @t26 () (forall @t8 @t25)) % 0.15/0.36 (define @t27 () (tptp.singleton @t23)) % 0.15/0.36 (define @t28 () (= tptp.empty_set @t27)) % 0.15/0.36 (define @t29 () (= @t28 @t26)) % 0.15/0.36 (define @t30 () (forall @t4 (= @t11 (forall @t8 (= @t6 (= @t1 @t5)))))) % 0.15/0.36 (define @t31 () (forall @t8 (= @t24 (= @t5 @t23)))) % 0.15/0.36 (define @t32 () (= @t28 @t31)) % 0.15/0.36 (define @t33 () (= @t27 tptp.empty_set)) % 0.15/0.36 (define @t34 () (not (not @t33))) % 0.15/0.36 (define @t35 () (@list false false)) % 0.15/0.36 (define @t36 () (tptp.in @t23 tptp.empty_set)) % 0.15/0.36 (define @t37 () (= @t36 (= @t23 @t23))) % 0.15/0.36 (define @t38 () (@list @t23)) % 0.15/0.36 (assume @p1 (forall @t4 (=> (tptp.in @t1 @t2) @t3))) % 0.15/0.36 (assume @p2 @t13) % 0.15/0.36 (assume @p3 @t16) % 0.15/0.36 (assume @p4 true) % 0.15/0.36 (assume @p5 (tptp.empty tptp.empty_set)) % 0.15/0.36 (assume @p6 @t18) % 0.15/0.36 (assume @p7 (exists @t15 @t19)) % 0.15/0.36 (assume @p8 (exists @t15 (not @t19))) % 0.15/0.36 (step @p9 :rule bool-eq-true :args (@t20)) % 0.15/0.36 (step @p10 :rule eq-symm :args (true @t20)) % 0.15/0.36 (step @p11 :rule trans :premises (@p10 @p9)) % 0.15/0.36 (step @p12 :rule refl :args (@t20)) % 0.15/0.36 (step @p13 :rule eq-refl :args (tptp.empty_set)) % 0.15/0.36 (step @p14 :rule cong :premises (@p13 @p12) :args (@t21)) % 0.15/0.36 (step @p15 :rule trans :premises (@p14 @p11)) % 0.15/0.36 (step @p16 :rule refl :args (@t16)) % 0.15/0.36 (step @p17 :rule cong :premises (@p16 @p15) :args ((=> @t16 @t21))) % 0.15/0.36 (assume-push @p86 @t16) % 0.15/0.36 (step @p19 :rule instantiate :premises (@p3) :args ((@list tptp.empty_set))) % 0.15/0.36 (step-pop @p87 :rule scope :premises (@p19)) % 0.15/0.36 (step @p20 :rule process_scope :premises (@p87) :args (@t21)) % 0.15/0.36 (step @p22 :rule eq_resolve :premises (@p20 @p17)) % 0.15/0.36 (step @p23 :rule implies_elim :premises (@p22)) % 0.15/0.36 (step @p24 :rule chain_m_resolution :premises (@p23 @p3) :args (@t20 @t22 (@list @t16))) % 0.15/0.36 (step @p25 :rule eq-symm :args (@t5 @t1)) % 0.15/0.36 (step @p26 :rule refl :args (@t6)) % 0.15/0.36 (step @p27 :rule cong :premises (@p26 @p25) :args (@t7)) % 0.15/0.36 (step @p28 :rule cong :premises (@p27) :args (@t9)) % 0.15/0.36 (step @p29 :rule refl :args (@t11)) % 0.15/0.36 (step @p30 :rule cong :premises (@p29 @p28) :args (@t12)) % 0.15/0.36 (step @p31 :rule cong :premises (@p30) :args (@t13)) % 0.15/0.36 (step @p32 :rule eq_resolve :premises (@p2 @p31)) % 0.15/0.36 (step @p33 :rule eq-symm :args (@t23 @t5)) % 0.15/0.36 (step @p34 :rule refl :args (@t24)) % 0.15/0.36 (step @p35 :rule cong :premises (@p34 @p33) :args (@t25)) % 0.15/0.36 (step @p36 :rule cong :premises (@p35) :args (@t26)) % 0.15/0.36 (step @p37 :rule refl :args (@t28)) % 0.15/0.36 (step @p38 :rule cong :premises (@p37 @p36) :args (@t29)) % 0.15/0.36 (step @p39 :rule refl :args (@t30)) % 0.15/0.36 (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t30 @t29))) % 0.15/0.36 (assume-push @p88 @t30) % 0.15/0.36 (step @p42 :rule instantiate :premises (@p32) :args ((@list @t23 tptp.empty_set))) % 0.15/0.36 (step-pop @p89 :rule scope :premises (@p42)) % 0.15/0.36 (step @p43 :rule process_scope :premises (@p89) :args (@t29)) % 0.15/0.36 (step @p45 :rule eq_resolve :premises (@p43 @p40)) % 0.15/0.36 (step @p46 :rule implies_elim :premises (@p45)) % 0.15/0.36 (step @p47 :rule chain_m_resolution :premises (@p46 @p32) :args (@t32 @t22 (@list @t30))) % 0.15/0.36 (step @p48 :rule bool-double-not-elim :args (@t17)) % 0.15/0.36 (step @p49 :rule nary_cong :premises (@p48 @p37) :args ((or (not @t18) @t28))) % 0.15/0.36 (step @p50 :rule eq-symm :args (@t27 tptp.empty_set)) % 0.15/0.36 (step @p51 :rule bool-double-not-elim :args (@t33)) % 0.15/0.36 (step @p52 :rule trans :premises (@p51 @p50)) % 0.15/0.36 (step @p53 :rule refl :args (@t18)) % 0.15/0.36 (step @p54 :rule cong :premises (@p53 @p52) :args ((=> @t18 @t34))) % 0.15/0.36 (assume-push @p90 @t18) % 0.15/0.36 (step @p56 :rule skolemize :premises (@p6)) % 0.15/0.36 (step-pop @p91 :rule scope :premises (@p56)) % 0.15/0.36 (step @p57 :rule process_scope :premises (@p91) :args (@t34)) % 0.15/0.36 (step @p59 :rule eq_resolve :premises (@p57 @p54)) % 0.15/0.36 (step @p60 :rule implies_elim :premises (@p59)) % 0.15/0.36 (step @p61 :rule eq_resolve :premises (@p60 @p49)) % 0.15/0.36 (step @p62 :rule chain_m_resolution :premises (@p61 @p6) :args (@t28 (@list true) (@list @t17))) % 0.15/0.36 (step @p63 :rule cnf_equiv_pos1 :args (@t32)) % 0.15/0.36 (step @p64 :rule reordering :premises (@p63) :args ((or (not @t28) @t31 (not @t32)))) % 0.15/0.36 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p47) :args (@t31 @t35 (@list @t28 @t32))) % 0.15/0.36 (step @p66 :rule bool-eq-true :args (@t36)) % 0.15/0.36 (step @p67 :rule eq-refl :args (@t23)) % 0.15/0.36 (step @p68 :rule refl :args (@t36)) % 0.15/0.36 (step @p69 :rule cong :premises (@p68 @p67) :args (@t37)) % 0.15/0.36 (step @p70 :rule trans :premises (@p69 @p66)) % 0.15/0.36 (step @p71 :rule refl :args (@t31)) % 0.15/0.36 (step @p72 :rule cong :premises (@p71 @p70) :args ((=> @t31 @t37))) % 0.15/0.36 (assume-push @p92 @t31) % 0.15/0.36 (step @p74 :rule instantiate :premises (@p65) :args (@t38)) % 0.15/0.36 (step-pop @p93 :rule scope :premises (@p74)) % 0.15/0.36 (step @p75 :rule process_scope :premises (@p93) :args (@t37)) % 0.15/0.36 (step @p77 :rule eq_resolve :premises (@p75 @p72)) % 0.15/0.36 (step @p78 :rule implies_elim :premises (@p77)) % 0.15/0.36 (step @p79 :rule chain_m_resolution :premises (@p78 @p65) :args (@t36 @t22 (@list @t31))) % 0.15/0.36 (assume-push @p94 @t20) % 0.15/0.36 (step @p81 :rule instantiate :premises (@p24) :args (@t38)) % 0.15/0.36 (step-pop @p95 :rule scope :premises (@p81)) % 0.15/0.36 (step @p82 :rule process_scope :premises (@p95) :args ((not @t36))) % 0.15/0.36 (step @p84 :rule implies_elim :premises (@p82)) % 0.15/0.36 (step @p85 false :rule chain_m_resolution :premises (@p84 @p79 @p24) :args (false @t35 (@list @t36 @t20))) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------