%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU147+3 : TPTP v9.2.1. Bugfixed v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU147+3 : TPTP v9.2.1. Bugfixed v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n011.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 16:32:05 EDT 2026 % 0.18/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.empty_set $$unsorted) % 0.38/0.57 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.57 (define @t3 () (@list @t1 @t2)) % 0.38/0.57 (define @t4 () (@var "C" $$unsorted)) % 0.38/0.57 (define @t5 () (tptp.in @t4 @t2)) % 0.38/0.57 (define @t6 () (= @t5 (= @t4 @t1))) % 0.38/0.57 (define @t7 () (@list @t4)) % 0.38/0.57 (define @t8 () (forall @t7 @t6)) % 0.38/0.57 (define @t9 () (= @t2 (tptp.singleton @t1))) % 0.38/0.57 (define @t10 () (= @t9 @t8)) % 0.38/0.57 (define @t11 () (forall @t3 @t10)) % 0.38/0.57 (define @t12 () (forall @t3 (= (= @t2 (tptp.powerset @t1)) (forall @t7 (= @t5 (tptp.subset @t4 @t1)))))) % 0.38/0.57 (define @t13 () (tptp.empty @t1)) % 0.38/0.57 (define @t14 () (@list @t1)) % 0.38/0.57 (define @t15 () (tptp.subset @t1 @t1)) % 0.38/0.57 (define @t16 () (forall @t3 @t15)) % 0.38/0.57 (define @t17 () (tptp.singleton tptp.empty_set)) % 0.38/0.57 (define @t18 () (tptp.powerset tptp.empty_set)) % 0.38/0.57 (define @t19 () (= @t18 @t17)) % 0.38/0.57 (define @t20 () (= @t1 tptp.empty_set)) % 0.38/0.57 (define @t21 () (tptp.subset @t1 tptp.empty_set)) % 0.38/0.57 (define @t22 () (forall @t14 (=> @t21 @t20))) % 0.38/0.57 (define @t23 () (tptp.in @t4 @t17)) % 0.38/0.57 (define @t24 () (tptp.subset @t4 tptp.empty_set)) % 0.38/0.57 (define @t25 () (forall @t7 (= @t24 @t23))) % 0.38/0.57 (define @t26 () (@quantifiers_skolemize @t25 0)) % 0.38/0.57 (define @t27 () (tptp.subset @t26 tptp.empty_set)) % 0.38/0.57 (define @t28 () (not @t27)) % 0.38/0.57 (define @t29 () (= @t26 tptp.empty_set)) % 0.38/0.57 (define @t30 () (or @t28 @t29)) % 0.38/0.57 (define @t31 () (forall @t14 (or (not @t21) @t20))) % 0.38/0.57 (define @t32 () (@list @t26)) % 0.38/0.57 (define @t33 () (= tptp.empty_set @t26)) % 0.38/0.57 (define @t34 () (or @t28 @t33)) % 0.38/0.57 (define @t35 () (@list false)) % 0.38/0.57 (define @t36 () (forall @t7 (= (= @t4 tptp.empty_set) @t23))) % 0.38/0.57 (define @t37 () (= tptp.empty_set @t4)) % 0.38/0.57 (define @t38 () (forall @t7 (= @t23 @t37))) % 0.38/0.57 (define @t39 () (= (= @t17 @t17) @t38)) % 0.38/0.57 (define @t40 () (forall @t3 (= @t9 (forall @t7 (= @t5 (= @t1 @t4)))))) % 0.38/0.57 (define @t41 () (@list tptp.empty_set @t17)) % 0.38/0.57 (define @t42 () (tptp.in @t26 @t17)) % 0.38/0.57 (define @t43 () (= @t29 @t42)) % 0.38/0.57 (define @t44 () (= @t42 @t33)) % 0.38/0.57 (define @t45 () (not @t44)) % 0.38/0.57 (define @t46 () (forall @t7 (= @t23 @t24))) % 0.38/0.57 (define @t47 () (= (= @t17 @t18) @t46)) % 0.38/0.57 (define @t48 () (= @t19 @t25)) % 0.38/0.57 (define @t49 () (not @t25)) % 0.38/0.57 (define @t50 () (@list true false)) % 0.38/0.57 (define @t51 () (= @t27 @t42)) % 0.38/0.57 (define @t52 () (not @t33)) % 0.38/0.57 (define @t53 () (tptp.subset tptp.empty_set tptp.empty_set)) % 0.38/0.57 (define @t54 () (and @t53 @t33)) % 0.38/0.57 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 0.38/0.57 (assume @p2 @t11) % 0.38/0.57 (assume @p3 @t12) % 0.38/0.57 (assume @p4 (tptp.empty tptp.empty_set)) % 0.38/0.57 (assume @p5 (exists @t14 @t13)) % 0.38/0.57 (assume @p6 (exists @t14 (not @t13))) % 0.38/0.57 (assume @p7 @t16) % 0.38/0.57 (assume @p8 (not @t19)) % 0.38/0.57 (assume @p9 (forall @t3 (=> (forall @t7 (= (tptp.in @t4 @t1) @t5)) (= @t1 @t2)))) % 0.38/0.57 (assume @p10 @t22) % 0.38/0.57 (assume @p11 true) % 0.38/0.57 (step @p12 :rule quant-unused-vars :args ((= @t16 (forall @t14 @t15)))) % 0.38/0.57 (step @p13 :rule eq_resolve :premises (@p7 @p12)) % 0.38/0.57 (step @p14 :rule instantiate :premises (@p13) :args ((@list tptp.empty_set))) % 0.38/0.57 (step @p15 :rule bool-impl-elim :args (@t21 @t20)) % 0.38/0.57 (step @p16 :rule cong :premises (@p15) :args (@t22)) % 0.38/0.57 (step @p17 :rule eq_resolve :premises (@p10 @p16)) % 0.38/0.57 (step @p18 :rule eq-symm :args (@t26 tptp.empty_set)) % 0.38/0.57 (step @p19 :rule refl :args (@t28)) % 0.38/0.57 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t30)) % 0.38/0.57 (step @p21 :rule refl :args (@t31)) % 0.38/0.57 (step @p22 :rule cong :premises (@p21 @p20) :args ((=> @t31 @t30))) % 0.38/0.57 (assume-push @p117 @t31) % 0.38/0.57 (step @p24 :rule instantiate :premises (@p17) :args (@t32)) % 0.38/0.57 (step-pop @p118 :rule scope :premises (@p24)) % 0.38/0.57 (step @p25 :rule process_scope :premises (@p118) :args (@t30)) % 0.38/0.57 (step @p27 :rule eq_resolve :premises (@p25 @p22)) % 0.38/0.57 (step @p28 :rule implies_elim :premises (@p27)) % 0.38/0.57 (step @p29 :rule chain_m_resolution :premises (@p28 @p17) :args (@t34 @t35 (@list @t31))) % 0.38/0.57 (step @p30 :rule cnf_or_pos :args (@t34)) % 0.38/0.57 (step @p31 :rule reordering :premises (@p30) :args ((or @t28 @t33 (not @t34)))) % 0.38/0.57 (step @p32 :rule eq-symm :args (@t4 @t1)) % 0.38/0.57 (step @p33 :rule refl :args (@t5)) % 0.38/0.57 (step @p34 :rule cong :premises (@p33 @p32) :args (@t6)) % 0.38/0.57 (step @p35 :rule cong :premises (@p34) :args (@t8)) % 0.38/0.57 (step @p36 :rule refl :args (@t9)) % 0.38/0.57 (step @p37 :rule cong :premises (@p36 @p35) :args (@t10)) % 0.38/0.57 (step @p38 :rule cong :premises (@p37) :args (@t11)) % 0.38/0.57 (step @p39 :rule eq_resolve :premises (@p2 @p38)) % 0.38/0.57 (step @p40 :rule bool-eq-true :args (@t36)) % 0.38/0.57 (step @p41 :rule eq-symm :args (true @t36)) % 0.38/0.57 (step @p42 :rule trans :premises (@p41 @p40)) % 0.38/0.57 (step @p43 :rule refl :args (@t23)) % 0.38/0.57 (step @p44 :rule eq-symm :args (tptp.empty_set @t4)) % 0.38/0.57 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t37 @t23))) % 0.38/0.57 (step @p46 :rule eq-symm :args (@t23 @t37)) % 0.38/0.57 (step @p47 :rule trans :premises (@p46 @p45)) % 0.38/0.57 (step @p48 :rule cong :premises (@p47) :args (@t38)) % 0.38/0.57 (step @p49 :rule eq-refl :args (@t17)) % 0.38/0.57 (step @p50 :rule cong :premises (@p49 @p48) :args (@t39)) % 0.38/0.57 (step @p51 :rule trans :premises (@p50 @p42)) % 0.38/0.57 (step @p52 :rule refl :args (@t40)) % 0.38/0.57 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t40 @t39))) % 0.38/0.57 (assume-push @p119 @t40) % 0.38/0.57 (step @p55 :rule instantiate :premises (@p39) :args (@t41)) % 0.38/0.57 (step-pop @p120 :rule scope :premises (@p55)) % 0.38/0.57 (step @p56 :rule process_scope :premises (@p120) :args (@t39)) % 0.38/0.57 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 0.38/0.57 (step @p59 :rule implies_elim :premises (@p58)) % 0.38/0.57 (step @p60 :rule chain_m_resolution :premises (@p59 @p39) :args (@t36 @t35 (@list @t40))) % 0.38/0.57 (step @p61 :rule refl :args (@t42)) % 0.38/0.57 (step @p62 :rule cong :premises (@p61 @p18) :args ((= @t42 @t29))) % 0.38/0.57 (step @p63 :rule eq-symm :args (@t29 @t42)) % 0.38/0.57 (step @p64 :rule trans :premises (@p63 @p62)) % 0.38/0.57 (step @p65 :rule refl :args (@t36)) % 0.38/0.57 (step @p66 :rule cong :premises (@p65 @p64) :args ((=> @t36 @t43))) % 0.38/0.57 (assume-push @p121 @t36) % 0.38/0.57 (step @p68 :rule instantiate :premises (@p60) :args (@t32)) % 0.38/0.57 (step-pop @p122 :rule scope :premises (@p68)) % 0.38/0.57 (step @p69 :rule process_scope :premises (@p122) :args (@t43)) % 0.38/0.57 (step @p71 :rule eq_resolve :premises (@p69 @p66)) % 0.38/0.57 (step @p72 :rule implies_elim :premises (@p71)) % 0.38/0.57 (step @p73 :rule chain_m_resolution :premises (@p72 @p60) :args (@t44 @t35 (@list @t36))) % 0.38/0.57 (step @p74 :rule cnf_equiv_pos1 :args (@t44)) % 0.38/0.57 (step @p75 :rule reordering :premises (@p74) :args ((or (not @t42) @t33 @t45))) % 0.38/0.57 (step @p76 :rule eq-symm :args (@t23 @t24)) % 0.38/0.57 (step @p77 :rule cong :premises (@p76) :args (@t46)) % 0.38/0.57 (step @p78 :rule eq-symm :args (@t17 @t18)) % 0.38/0.57 (step @p79 :rule cong :premises (@p78 @p77) :args (@t47)) % 0.38/0.57 (step @p80 :rule refl :args (@t12)) % 0.38/0.57 (step @p81 :rule cong :premises (@p80 @p79) :args ((=> @t12 @t47))) % 0.38/0.57 (assume-push @p123 @t12) % 0.38/0.57 (step @p83 :rule instantiate :premises (@p3) :args (@t41)) % 0.38/0.57 (step-pop @p124 :rule scope :premises (@p83)) % 0.38/0.57 (step @p84 :rule process_scope :premises (@p124) :args (@t47)) % 0.38/0.57 (step @p86 :rule eq_resolve :premises (@p84 @p81)) % 0.38/0.57 (step @p87 :rule implies_elim :premises (@p86)) % 0.38/0.57 (step @p88 :rule chain_m_resolution :premises (@p87 @p3) :args (@t48 @t35 (@list @t12))) % 0.38/0.57 (step @p89 :rule cnf_equiv_pos2 :args (@t48)) % 0.38/0.57 (step @p90 :rule reordering :premises (@p89) :args ((or @t19 @t49 (not @t48)))) % 0.38/0.57 (step @p91 :rule chain_m_resolution :premises (@p90 @p8 @p88) :args (@t49 @t50 (@list @t19 @t48))) % 0.38/0.57 (step @p92 :rule skolemize :premises (@p91)) % 0.38/0.57 (step @p93 :rule cnf_equiv_neg1 :args (@t51)) % 0.38/0.57 (step @p94 :rule reordering :premises (@p93) :args ((or @t27 @t42 @t51))) % 0.38/0.57 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p75 @p73 @p31 @p29) :args (@t33 (@list true true false true false) (@list @t51 @t42 @t44 @t27 @t34))) % 0.38/0.57 (step @p96 :rule cnf_equiv_pos2 :args (@t44)) % 0.38/0.57 (step @p97 :rule reordering :premises (@p96) :args ((or @t42 @t52 @t45))) % 0.38/0.57 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p73) :args (@t42 (@list false false) (@list @t33 @t44))) % 0.38/0.57 (step @p99 :rule cnf_equiv_neg2 :args (@t51)) % 0.38/0.57 (step @p100 :rule chain_m_resolution :premises (@p99 @p92 @p98) :args (@t28 @t50 (@list @t51 @t42))) % 0.38/0.57 (assume-push @p125 @t53) % 0.38/0.57 (assume-push @p126 @t33) % 0.38/0.57 (step @p103 :rule true_intro :premises (@p14)) % 0.38/0.57 (step @p104 :rule refl :args (tptp.empty_set)) % 0.38/0.57 (step @p105 :rule symm :premises (@p95)) % 0.38/0.57 (step @p106 :rule cong :premises (@p105 @p104) :args (@t27)) % 0.38/0.57 (step @p107 :rule trans :premises (@p106 @p103)) % 0.38/0.57 (step @p108 :rule true_elim :premises (@p107)) % 0.38/0.57 (step-pop @p127 :rule scope :premises (@p108)) % 0.38/0.57 (step-pop @p128 :rule scope :premises (@p127)) % 0.38/0.57 (step @p109 :rule process_scope :premises (@p128) :args (@t27)) % 0.38/0.57 (step @p112 :rule implies_elim :premises (@p109)) % 0.38/0.57 (step @p113 :rule cnf_and_neg :args (@t54)) % 0.38/0.57 (step @p114 :rule resolution :premises (@p113 @p112) :args (true @t54)) % 0.38/0.57 (step @p115 :rule reordering :premises (@p114) :args ((or (not @t53) @t27 @t52))) % 0.38/0.57 (step @p116 false :rule chain_m_resolution :premises (@p115 @p100 @p95 @p14) :args (false (@list true false false) (@list @t27 @t33 @t53))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------