%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU230+3 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:51:03 AM UTC 2026 % Result : Theorem 33.54s 33.79s % Output : Proof 33.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU230+3 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.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 16:43:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 33.54/33.79 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.54/33.79 --- Run --no-e-matching --full-saturate-quant at 6... % 33.54/33.79 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.54/33.79 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.54/33.79 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.54/33.79 % SZS status Theorem % 33.54/33.79 % SZS output start Proof % 33.54/33.79 ( % 33.54/33.79 (declare-sort $$unsorted 0) % 33.54/33.79 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 33.54/33.79 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 33.54/33.79 (declare-const tptp.empty_set $$unsorted) % 33.54/33.79 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 33.54/33.79 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 33.54/33.79 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 33.54/33.79 (declare-const tptp.relation (-> $$unsorted Bool)) % 33.54/33.79 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 33.54/33.79 (declare-const tptp.empty (-> $$unsorted Bool)) % 33.54/33.79 (declare-const tptp.function (-> $$unsorted Bool)) % 33.54/33.79 (declare-const tptp.relation_non_empty (-> $$unsorted Bool)) % 33.54/33.79 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 33.54/33.79 (define @t1 () (@var "A" $$unsorted)) % 33.54/33.79 (define @t2 () (@var "B" $$unsorted)) % 33.54/33.79 (define @t3 () (tptp.in @t1 @t2)) % 33.54/33.79 (define @t4 () (@list @t1 @t2)) % 33.54/33.79 (define @t5 () (tptp.function @t1)) % 33.54/33.79 (define @t6 () (tptp.empty @t1)) % 33.54/33.79 (define @t7 () (@list @t1)) % 33.54/33.79 (define @t8 () (tptp.relation @t1)) % 33.54/33.79 (define @t9 () (and @t8 @t5 (tptp.one_to_one @t1))) % 33.54/33.79 (define @t10 () (and @t8 @t6 @t5)) % 33.54/33.79 (define @t11 () (tptp.set_union2 @t2 @t1)) % 33.54/33.79 (define @t12 () (tptp.set_union2 @t1 @t2)) % 33.54/33.79 (define @t13 () (tptp.singleton @t1)) % 33.54/33.79 (define @t14 () (tptp.succ @t1)) % 33.54/33.79 (define @t15 () (@var "C" $$unsorted)) % 33.54/33.79 (define @t16 () (tptp.in @t15 @t2)) % 33.54/33.79 (define @t17 () (= @t16 (= @t15 @t1))) % 33.54/33.79 (define @t18 () (@list @t15)) % 33.54/33.79 (define @t19 () (forall @t18 @t17)) % 33.54/33.79 (define @t20 () (= @t2 @t13)) % 33.54/33.79 (define @t21 () (= @t20 @t19)) % 33.54/33.79 (define @t22 () (forall @t4 @t21)) % 33.54/33.79 (define @t23 () (@var "D" $$unsorted)) % 33.54/33.79 (define @t24 () (@list @t23)) % 33.54/33.79 (define @t25 () (forall @t24 (= (tptp.in @t23 @t15) (or (tptp.in @t23 @t1) (tptp.in @t23 @t2))))) % 33.54/33.79 (define @t26 () (= (= @t15 @t12) @t25)) % 33.54/33.79 (define @t27 () (@list @t1 @t2 @t15)) % 33.54/33.79 (define @t28 () (forall @t27 @t26)) % 33.54/33.79 (define @t29 () (tptp.relation tptp.empty_set)) % 33.54/33.79 (define @t30 () (tptp.empty tptp.empty_set)) % 33.54/33.79 (define @t31 () (not @t6)) % 33.54/33.79 (define @t32 () (tptp.relation_empty_yielding @t1)) % 33.54/33.79 (define @t33 () (forall @t7 (tptp.in @t1 @t14))) % 33.54/33.79 (define @t34 () (tptp.element @t1 @t2)) % 33.54/33.79 (define @t35 () (tptp.empty @t2)) % 33.54/33.79 (define @t36 () (= @t12 @t15)) % 33.54/33.79 (define @t37 () (@quantifiers_skolemize @t33 0)) % 33.54/33.79 (define @t38 () (tptp.singleton @t37)) % 33.54/33.79 (define @t39 () (tptp.succ @t37)) % 33.54/33.79 (define @t40 () (forall @t24 (= (tptp.in @t23 @t39) (or (tptp.in @t23 @t37) (tptp.in @t23 @t38))))) % 33.54/33.79 (define @t41 () (tptp.set_union2 @t37 @t38)) % 33.54/33.79 (define @t42 () (= @t41 @t39)) % 33.54/33.79 (define @t43 () (forall @t27 (= @t25 @t36))) % 33.54/33.79 (define @t44 () (= @t40 @t42)) % 33.54/33.79 (define @t45 () (= @t39 @t41)) % 33.54/33.79 (define @t46 () (= @t45 @t40)) % 33.54/33.79 (define @t47 () (@list false)) % 33.54/33.79 (define @t48 () (@list @t37)) % 33.54/33.79 (define @t49 () (tptp.in @t37 @t38)) % 33.54/33.79 (define @t50 () (or (tptp.in @t37 @t37) @t49)) % 33.54/33.79 (define @t51 () (tptp.in @t37 @t39)) % 33.54/33.79 (define @t52 () (= @t51 @t50)) % 33.54/33.79 (define @t53 () (not @t50)) % 33.54/33.79 (define @t54 () (tptp.in @t15 @t38)) % 33.54/33.79 (define @t55 () (forall @t18 (= @t54 (= @t15 @t37)))) % 33.54/33.79 (define @t56 () (= @t54 (= @t37 @t15))) % 33.54/33.79 (define @t57 () (forall @t18 @t56)) % 33.54/33.79 (define @t58 () (= (= @t38 @t38) @t57)) % 33.54/33.79 (define @t59 () (forall @t4 (= @t20 (forall @t18 (= @t16 (= @t1 @t15)))))) % 33.54/33.79 (define @t60 () (= @t49 (= @t37 @t37))) % 33.54/33.79 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 33.54/33.79 (assume @p2 (forall @t7 (=> @t6 @t5))) % 33.54/33.79 (assume @p3 (forall @t7 (=> @t6 @t8))) % 33.54/33.79 (assume @p4 (forall @t7 (=> @t10 @t9))) % 33.54/33.79 (assume @p5 (forall @t4 (= @t12 @t11))) % 33.54/33.79 (assume @p6 (forall @t7 (= @t14 (tptp.set_union2 @t1 @t13)))) % 33.54/33.79 (assume @p7 @t22) % 33.54/33.79 (assume @p8 @t28) % 33.54/33.79 (assume @p9 (forall @t7 (exists (@list @t2) (tptp.element @t2 @t1)))) % 33.54/33.79 (assume @p10 (and @t30 @t29 (tptp.relation_empty_yielding tptp.empty_set))) % 33.54/33.79 (assume @p11 (forall @t7 (not (tptp.empty @t14)))) % 33.54/33.79 (assume @p12 @t30) % 33.54/33.79 (assume @p13 (forall @t4 (=> (and @t8 (tptp.relation @t2)) (tptp.relation @t12)))) % 33.54/33.79 (assume @p14 (forall @t4 (=> @t31 (not (tptp.empty @t12))))) % 33.54/33.79 (assume @p15 (forall @t4 (=> @t31 (not (tptp.empty @t11))))) % 33.54/33.79 (assume @p16 (and @t30 @t29)) % 33.54/33.79 (assume @p17 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 33.54/33.79 (assume @p18 (exists @t7 (and @t8 @t5))) % 33.54/33.79 (assume @p19 (exists @t7 (and @t6 @t8))) % 33.54/33.79 (assume @p20 (exists @t7 @t6)) % 33.54/33.79 (assume @p21 (exists @t7 @t10)) % 33.54/33.79 (assume @p22 (exists @t7 (and @t31 @t8))) % 33.54/33.79 (assume @p23 (exists @t7 @t31)) % 33.54/33.79 (assume @p24 (exists @t7 @t9)) % 33.54/33.79 (assume @p25 (exists @t7 (and @t8 @t32))) % 33.54/33.79 (assume @p26 (exists @t7 (and @t8 @t32 @t5))) % 33.54/33.79 (assume @p27 (exists @t7 (and @t8 (tptp.relation_non_empty @t1) @t5))) % 33.54/33.79 (assume @p28 (not @t33)) % 33.54/33.79 (assume @p29 (forall @t7 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 33.54/33.79 (assume @p30 (forall @t4 (=> @t3 @t34))) % 33.54/33.79 (assume @p31 (forall @t4 (=> @t34 (or @t35 @t3)))) % 33.54/33.79 (assume @p32 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 33.54/33.79 (assume @p33 (forall @t4 (not (and @t3 @t35)))) % 33.54/33.79 (assume @p34 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t35)))) % 33.54/33.79 (assume @p35 true) % 33.54/33.79 (step @p36 :rule eq-symm :args (@t36 @t25)) % 33.54/33.79 (step @p37 :rule refl :args (@t25)) % 33.54/33.79 (step @p38 :rule eq-symm :args (@t15 @t12)) % 33.54/33.79 (step @p39 :rule cong :premises (@p38 @p37) :args (@t26)) % 33.54/33.79 (step @p40 :rule trans :premises (@p39 @p36)) % 33.54/33.79 (step @p41 :rule cong :premises (@p40) :args (@t28)) % 33.54/33.79 (step @p42 :rule eq_resolve :premises (@p8 @p41)) % 33.54/33.79 (step @p43 :rule refl :args (@t40)) % 33.54/33.79 (step @p44 :rule eq-symm :args (@t41 @t39)) % 33.54/33.79 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t42 @t40))) % 33.54/33.79 (step @p46 :rule eq-symm :args (@t40 @t42)) % 33.54/33.79 (step @p47 :rule trans :premises (@p46 @p45)) % 33.54/33.79 (step @p48 :rule refl :args (@t43)) % 33.54/33.79 (step @p49 :rule cong :premises (@p48 @p47) :args ((=> @t43 @t44))) % 33.54/33.79 (assume-push @p110 @t43) % 33.54/33.79 (step @p51 :rule instantiate :premises (@p42) :args ((@list @t37 @t38 @t39))) % 33.54/33.79 (step-pop @p111 :rule scope :premises (@p51)) % 33.54/33.79 (step @p52 :rule process_scope :premises (@p111) :args (@t44)) % 33.54/33.79 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 33.54/33.79 (step @p55 :rule implies_elim :premises (@p54)) % 33.54/33.79 (step @p56 :rule chain_m_resolution :premises (@p55 @p42) :args (@t46 @t47 (@list @t43))) % 33.54/33.79 (step @p57 :rule instantiate :premises (@p6) :args (@t48)) % 33.54/33.79 (step @p58 :rule cnf_equiv_pos1 :args (@t46)) % 33.54/33.79 (step @p59 :rule reordering :premises (@p58) :args ((or (not @t45) @t40 (not @t46)))) % 33.54/33.79 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p56) :args (@t40 (@list false false) (@list @t45 @t46))) % 33.54/33.79 (step @p61 :rule instantiate :premises (@p60) :args (@t48)) % 33.54/33.79 (step @p62 :rule skolemize :premises (@p28)) % 33.54/33.79 (step @p63 :rule cnf_equiv_pos2 :args (@t52)) % 33.54/33.79 (step @p64 :rule reordering :premises (@p63) :args ((or @t51 @t53 (not @t52)))) % 33.54/33.79 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p61) :args (@t53 (@list true false) (@list @t51 @t52))) % 33.54/33.79 (step @p66 :rule cnf_or_neg :args (@t50 1)) % 33.54/33.79 (step @p67 :rule chain_m_resolution :premises (@p66 @p65) :args ((not @t49) (@list true) (@list @t50))) % 33.54/33.79 (step @p68 :rule eq-symm :args (@t15 @t1)) % 33.54/33.79 (step @p69 :rule refl :args (@t16)) % 33.54/33.79 (step @p70 :rule cong :premises (@p69 @p68) :args (@t17)) % 33.54/33.79 (step @p71 :rule cong :premises (@p70) :args (@t19)) % 33.54/33.79 (step @p72 :rule refl :args (@t20)) % 33.54/33.79 (step @p73 :rule cong :premises (@p72 @p71) :args (@t21)) % 33.54/33.79 (step @p74 :rule cong :premises (@p73) :args (@t22)) % 33.54/33.79 (step @p75 :rule eq_resolve :premises (@p7 @p74)) % 33.54/33.79 (step @p76 :rule bool-eq-true :args (@t55)) % 33.54/33.79 (step @p77 :rule eq-symm :args (true @t55)) % 33.54/33.79 (step @p78 :rule trans :premises (@p77 @p76)) % 33.54/33.79 (step @p79 :rule eq-symm :args (@t37 @t15)) % 33.54/33.79 (step @p80 :rule refl :args (@t54)) % 33.54/33.79 (step @p81 :rule cong :premises (@p80 @p79) :args (@t56)) % 33.54/33.79 (step @p82 :rule cong :premises (@p81) :args (@t57)) % 33.54/33.79 (step @p83 :rule eq-refl :args (@t38)) % 33.54/33.79 (step @p84 :rule cong :premises (@p83 @p82) :args (@t58)) % 33.54/33.79 (step @p85 :rule trans :premises (@p84 @p78)) % 33.54/33.79 (step @p86 :rule refl :args (@t59)) % 33.54/33.79 (step @p87 :rule cong :premises (@p86 @p85) :args ((=> @t59 @t58))) % 33.54/33.79 (assume-push @p112 @t59) % 33.54/33.79 (step @p89 :rule instantiate :premises (@p75) :args ((@list @t37 @t38))) % 33.54/33.79 (step-pop @p113 :rule scope :premises (@p89)) % 33.54/33.79 (step @p90 :rule process_scope :premises (@p113) :args (@t58)) % 33.54/33.79 (step @p92 :rule eq_resolve :premises (@p90 @p87)) % 33.54/33.79 (step @p93 :rule implies_elim :premises (@p92)) % 33.54/33.79 (step @p94 :rule chain_m_resolution :premises (@p93 @p75) :args (@t55 @t47 (@list @t59))) % 33.54/33.79 (step @p95 :rule bool-eq-true :args (@t49)) % 33.54/33.79 (step @p96 :rule eq-refl :args (@t37)) % 33.54/33.79 (step @p97 :rule refl :args (@t49)) % 33.54/33.79 (step @p98 :rule cong :premises (@p97 @p96) :args (@t60)) % 33.54/33.79 (step @p99 :rule trans :premises (@p98 @p95)) % 33.54/33.79 (step @p100 :rule refl :args (@t55)) % 33.54/33.79 (step @p101 :rule cong :premises (@p100 @p99) :args ((=> @t55 @t60))) % 33.54/33.79 (assume-push @p114 @t55) % 33.54/33.79 (step @p103 :rule instantiate :premises (@p94) :args (@t48)) % 33.54/33.79 (step-pop @p115 :rule scope :premises (@p103)) % 33.54/33.79 (step @p104 :rule process_scope :premises (@p115) :args (@t60)) % 33.54/33.79 (step @p106 :rule eq_resolve :premises (@p104 @p101)) % 33.54/33.79 (step @p107 :rule implies_elim :premises (@p106)) % 33.54/33.79 (step @p108 :rule reordering :premises (@p107) :args ((or @t49 (not @t55)))) % 33.54/33.79 (step @p109 false :rule chain_m_resolution :premises (@p108 @p94 @p67) :args (false (@list false true) (@list @t55 @t49))) % 33.54/33.79 ) % 33.54/33.79 % SZS output end Proof % 33.54/33.79 % cvc5 exiting %------------------------------------------------------------------------------