%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU124+2 : 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 : n020.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 08:50:37 AM UTC 2026 % Result : Theorem 30.73s 30.94s % Output : Proof 30.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU124+2 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.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 16:30:55 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 30.73/30.94 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 30.73/30.94 --- Run --no-e-matching --full-saturate-quant at 6... % 30.73/30.94 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 30.73/30.94 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 30.73/30.94 % SZS status Theorem % 30.73/30.94 % SZS output start Proof % 30.73/30.94 ( % 30.73/30.94 (declare-sort $$unsorted 0) % 30.73/30.94 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 30.73/30.94 (declare-const tptp.empty (-> $$unsorted Bool)) % 30.73/30.94 (declare-const tptp.empty_set $$unsorted) % 30.73/30.94 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 30.73/30.94 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 30.73/30.94 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 30.73/30.94 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 30.73/30.94 (define @t1 () (@var "A" $$unsorted)) % 30.73/30.94 (define @t2 () (@var "B" $$unsorted)) % 30.73/30.94 (define @t3 () (not (tptp.in @t2 @t1))) % 30.73/30.94 (define @t4 () (tptp.in @t1 @t2)) % 30.73/30.94 (define @t5 () (@list @t1 @t2)) % 30.73/30.94 (define @t6 () (tptp.set_union2 @t2 @t1)) % 30.73/30.94 (define @t7 () (tptp.set_union2 @t1 @t2)) % 30.73/30.94 (define @t8 () (tptp.set_intersection2 @t1 @t2)) % 30.73/30.94 (define @t9 () (tptp.subset @t1 @t2)) % 30.73/30.94 (define @t10 () (= @t1 @t2)) % 30.73/30.94 (define @t11 () (= @t1 tptp.empty_set)) % 30.73/30.94 (define @t12 () (@list @t1)) % 30.73/30.94 (define @t13 () (@var "D" $$unsorted)) % 30.73/30.94 (define @t14 () (tptp.in @t13 @t2)) % 30.73/30.94 (define @t15 () (tptp.in @t13 @t1)) % 30.73/30.94 (define @t16 () (@var "C" $$unsorted)) % 30.73/30.94 (define @t17 () (tptp.in @t13 @t16)) % 30.73/30.94 (define @t18 () (@list @t13)) % 30.73/30.94 (define @t19 () (forall @t18 (= @t17 (or @t15 @t14)))) % 30.73/30.94 (define @t20 () (= (= @t16 @t7) @t19)) % 30.73/30.94 (define @t21 () (@list @t1 @t2 @t16)) % 30.73/30.94 (define @t22 () (forall @t21 @t20)) % 30.73/30.94 (define @t23 () (tptp.in @t16 @t2)) % 30.73/30.94 (define @t24 () (tptp.in @t16 @t1)) % 30.73/30.94 (define @t25 () (@list @t16)) % 30.73/30.94 (define @t26 () (forall @t25 (=> @t24 @t23))) % 30.73/30.94 (define @t27 () (= @t9 @t26)) % 30.73/30.94 (define @t28 () (forall @t5 @t27)) % 30.73/30.94 (define @t29 () (tptp.disjoint @t1 @t2)) % 30.73/30.94 (define @t30 () (tptp.empty @t1)) % 30.73/30.94 (define @t31 () (not @t30)) % 30.73/30.94 (define @t32 () (and @t24 @t23)) % 30.73/30.94 (define @t33 () (not @t29)) % 30.73/30.94 (define @t34 () (tptp.in @t16 @t8)) % 30.73/30.94 (define @t35 () (tptp.empty @t2)) % 30.73/30.94 (define @t36 () (forall @t5 (tptp.subset @t1 @t7))) % 30.73/30.94 (define @t37 () (@quantifiers_skolemize @t36 1)) % 30.73/30.94 (define @t38 () (@quantifiers_skolemize @t36 0)) % 30.73/30.94 (define @t39 () (tptp.set_union2 @t38 @t37)) % 30.73/30.94 (define @t40 () (forall @t25 (or (not (tptp.in @t16 @t38)) (tptp.in @t16 @t39)))) % 30.73/30.94 (define @t41 () (tptp.subset @t38 @t39)) % 30.73/30.94 (define @t42 () (= @t41 @t40)) % 30.73/30.94 (define @t43 () (not @t40)) % 30.73/30.94 (define @t44 () (@quantifiers_skolemize @t40 0)) % 30.73/30.94 (define @t45 () (tptp.in @t44 @t39)) % 30.73/30.94 (define @t46 () (tptp.in @t44 @t38)) % 30.73/30.94 (define @t47 () (not @t46)) % 30.73/30.94 (define @t48 () (or @t47 @t45)) % 30.73/30.94 (define @t49 () (@list true)) % 30.73/30.94 (define @t50 () (@list @t48)) % 30.73/30.94 (define @t51 () (or @t46 (tptp.in @t44 @t37))) % 30.73/30.94 (define @t52 () (@list false)) % 30.73/30.94 (define @t53 () (= @t7 @t16)) % 30.73/30.94 (define @t54 () (tptp.in @t13 @t39)) % 30.73/30.94 (define @t55 () (or (tptp.in @t13 @t38) (tptp.in @t13 @t37))) % 30.73/30.94 (define @t56 () (forall @t18 (= @t55 @t54))) % 30.73/30.94 (define @t57 () (forall @t18 (= @t54 @t55))) % 30.73/30.94 (define @t58 () (= @t39 @t39)) % 30.73/30.94 (define @t59 () (forall @t21 (= @t19 @t53))) % 30.73/30.94 (define @t60 () (= @t57 @t58)) % 30.73/30.94 (define @t61 () (= @t51 @t45)) % 30.73/30.94 (define @t62 () (= @t45 @t51)) % 30.73/30.94 (assume @p1 (forall @t5 (=> @t4 @t3))) % 30.73/30.94 (assume @p2 (forall @t5 (= @t7 @t6))) % 30.73/30.94 (assume @p3 (forall @t5 (= @t8 (tptp.set_intersection2 @t2 @t1)))) % 30.73/30.94 (assume @p4 (forall @t5 (= @t10 (and @t9 (tptp.subset @t2 @t1))))) % 30.73/30.94 (assume @p5 (forall @t12 (= @t11 (forall (@list @t2) @t3)))) % 30.73/30.94 (assume @p6 @t22) % 30.73/30.94 (assume @p7 @t28) % 30.73/30.94 (assume @p8 (forall @t21 (= (= @t16 @t8) (forall @t18 (= @t17 (and @t15 @t14)))))) % 30.73/30.94 (assume @p9 (forall @t5 (= @t29 (= @t8 tptp.empty_set)))) % 30.73/30.94 (assume @p10 true) % 30.73/30.94 (assume @p11 (tptp.empty tptp.empty_set)) % 30.73/30.94 (assume @p12 (forall @t5 (=> @t31 (not (tptp.empty @t7))))) % 30.73/30.94 (assume @p13 (forall @t5 (=> @t31 (not (tptp.empty @t6))))) % 30.73/30.94 (assume @p14 (forall @t5 (= (tptp.set_union2 @t1 @t1) @t1))) % 30.73/30.94 (assume @p15 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 30.73/30.94 (assume @p16 (exists @t12 @t30)) % 30.73/30.94 (assume @p17 (exists @t12 @t31)) % 30.73/30.94 (assume @p18 (forall @t5 (tptp.subset @t1 @t1))) % 30.73/30.94 (assume @p19 (forall @t5 (=> @t29 (tptp.disjoint @t2 @t1)))) % 30.73/30.94 (assume @p20 (forall @t12 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 30.73/30.94 (assume @p21 (forall @t21 (=> (and @t9 (tptp.subset @t2 @t16)) (tptp.subset @t1 @t16)))) % 30.73/30.94 (assume @p22 (forall @t12 (tptp.subset tptp.empty_set @t1))) % 30.73/30.94 (assume @p23 (forall @t5 (and (not (and @t33 (forall @t25 (not @t32)))) (not (and (exists @t25 @t32) @t29))))) % 30.73/30.94 (assume @p24 (forall @t12 (=> (tptp.subset @t1 tptp.empty_set) @t11))) % 30.73/30.94 (assume @p25 (forall @t5 (and (not (and @t33 (forall @t25 (not @t34)))) (not (and (exists @t25 @t34) @t29))))) % 30.73/30.94 (assume @p26 (forall @t12 (=> @t30 @t11))) % 30.73/30.94 (assume @p27 (forall @t5 (not (and @t4 @t35)))) % 30.73/30.94 (assume @p28 (not @t36)) % 30.73/30.94 (assume @p29 (forall @t5 (not (and @t30 (not @t10) @t35)))) % 30.73/30.94 (step @p30 :rule bool-impl-elim :args (@t24 @t23)) % 30.73/30.94 (step @p31 :rule cong :premises (@p30) :args (@t26)) % 30.73/30.94 (step @p32 :rule refl :args (@t9)) % 30.73/30.94 (step @p33 :rule cong :premises (@p32 @p31) :args (@t27)) % 30.73/30.94 (step @p34 :rule cong :premises (@p33) :args (@t28)) % 30.73/30.94 (step @p35 :rule eq_resolve :premises (@p7 @p34)) % 30.73/30.94 (step @p36 :rule instantiate :premises (@p35) :args ((@list @t38 @t39))) % 30.73/30.94 (step @p37 :rule skolemize :premises (@p28)) % 30.73/30.94 (step @p38 :rule cnf_equiv_pos2 :args (@t42)) % 30.73/30.94 (step @p39 :rule reordering :premises (@p38) :args ((or @t41 @t43 (not @t42)))) % 30.73/30.94 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p36) :args (@t43 (@list true false) (@list @t41 @t42))) % 30.73/30.94 (step @p41 :rule skolemize :premises (@p40)) % 30.73/30.94 (step @p42 :rule cnf_or_neg :args (@t48 1)) % 30.73/30.94 (step @p43 :rule chain_m_resolution :premises (@p42 @p41) :args ((not @t45) @t49 @t50)) % 30.73/30.94 (step @p44 :rule bool-double-not-elim :args (@t46)) % 30.73/30.94 (step @p45 :rule refl :args (@t48)) % 30.73/30.94 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t48 (not @t47)))) % 30.73/30.94 (step @p47 :rule cnf_or_neg :args (@t48 0)) % 30.73/30.94 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 30.73/30.94 (step @p49 :rule reordering :premises (@p48) :args ((or @t46 @t48))) % 30.73/30.94 (step @p50 :rule chain_m_resolution :premises (@p49 @p41) :args (@t46 @t49 @t50)) % 30.73/30.94 (step @p51 :rule cnf_or_neg :args (@t51 0)) % 30.73/30.94 (step @p52 :rule reordering :premises (@p51) :args ((or @t47 @t51))) % 30.73/30.94 (step @p53 :rule chain_m_resolution :premises (@p52 @p50) :args (@t51 @t52 (@list @t46))) % 30.73/30.94 (step @p54 :rule eq-symm :args (@t53 @t19)) % 30.73/30.94 (step @p55 :rule refl :args (@t19)) % 30.73/30.94 (step @p56 :rule eq-symm :args (@t16 @t7)) % 30.73/30.94 (step @p57 :rule cong :premises (@p56 @p55) :args (@t20)) % 30.73/30.94 (step @p58 :rule trans :premises (@p57 @p54)) % 30.73/30.94 (step @p59 :rule cong :premises (@p58) :args (@t22)) % 30.73/30.94 (step @p60 :rule eq_resolve :premises (@p6 @p59)) % 30.73/30.94 (step @p61 :rule bool-eq-true :args (@t56)) % 30.73/30.94 (step @p62 :rule eq-symm :args (true @t56)) % 30.73/30.94 (step @p63 :rule trans :premises (@p62 @p61)) % 30.73/30.94 (step @p64 :rule eq-symm :args (@t54 @t55)) % 30.73/30.94 (step @p65 :rule cong :premises (@p64) :args (@t57)) % 30.73/30.94 (step @p66 :rule eq-refl :args (@t39)) % 30.73/30.94 (step @p67 :rule cong :premises (@p66 @p65) :args ((= @t58 @t57))) % 30.73/30.94 (step @p68 :rule trans :premises (@p67 @p63)) % 30.73/30.94 (step @p69 :rule eq-symm :args (@t57 @t58)) % 30.73/30.94 (step @p70 :rule trans :premises (@p69 @p68)) % 30.73/30.94 (step @p71 :rule refl :args (@t59)) % 30.73/30.94 (step @p72 :rule cong :premises (@p71 @p70) :args ((=> @t59 @t60))) % 30.73/30.94 (assume-push @p93 @t59) % 30.73/30.94 (step @p74 :rule instantiate :premises (@p60) :args ((@list @t38 @t37 @t39))) % 30.73/30.94 (step-pop @p94 :rule scope :premises (@p74)) % 30.73/30.94 (step @p75 :rule process_scope :premises (@p94) :args (@t60)) % 30.73/30.94 (step @p77 :rule eq_resolve :premises (@p75 @p72)) % 30.73/30.94 (step @p78 :rule implies_elim :premises (@p77)) % 30.73/30.94 (step @p79 :rule chain_m_resolution :premises (@p78 @p60) :args (@t56 @t52 (@list @t59))) % 30.73/30.94 (step @p80 :rule eq-symm :args (@t51 @t45)) % 30.73/30.94 (step @p81 :rule refl :args (@t56)) % 30.73/30.94 (step @p82 :rule cong :premises (@p81 @p80) :args ((=> @t56 @t61))) % 30.73/30.94 (assume-push @p95 @t56) % 30.73/30.94 (step @p84 :rule instantiate :premises (@p79) :args ((@list @t44))) % 30.73/30.94 (step-pop @p96 :rule scope :premises (@p84)) % 30.73/30.94 (step @p85 :rule process_scope :premises (@p96) :args (@t61)) % 30.73/30.94 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 30.73/30.94 (step @p88 :rule implies_elim :premises (@p87)) % 30.73/30.94 (step @p89 :rule chain_m_resolution :premises (@p88 @p79) :args (@t62 @t52 (@list @t56))) % 30.73/30.94 (step @p90 :rule cnf_equiv_pos2 :args (@t62)) % 30.73/30.94 (step @p91 :rule reordering :premises (@p90) :args ((or @t45 (not @t51) (not @t62)))) % 30.73/30.94 (step @p92 false :rule chain_m_resolution :premises (@p91 @p89 @p53 @p43) :args (false (@list false false true) (@list @t62 @t51 @t45))) % 30.73/30.94 ) % 30.73/30.94 % SZS output end Proof % 30.73/30.94 % cvc5 exiting %------------------------------------------------------------------------------