%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU198+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 : n008.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 08:50:55 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU198+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n008.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:37:33 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.empty_set $$unsorted) % 0.38/0.59 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.59 (define @t3 () (tptp.in @t1 @t2)) % 0.38/0.59 (define @t4 () (@list @t1 @t2)) % 0.38/0.59 (define @t5 () (tptp.relation @t1)) % 0.38/0.59 (define @t6 () (tptp.empty @t1)) % 0.38/0.59 (define @t7 () (@list @t1)) % 0.38/0.59 (define @t8 () (@var "C" $$unsorted)) % 0.38/0.59 (define @t9 () (tptp.in @t8 @t2)) % 0.38/0.59 (define @t10 () (tptp.in @t8 @t1)) % 0.38/0.59 (define @t11 () (@list @t8)) % 0.38/0.59 (define @t12 () (forall @t11 (=> @t10 @t9))) % 0.38/0.59 (define @t13 () (tptp.subset @t1 @t2)) % 0.38/0.59 (define @t14 () (= @t13 @t12)) % 0.38/0.59 (define @t15 () (forall @t4 @t14)) % 0.38/0.59 (define @t16 () (tptp.relation_rng_restriction @t1 @t2)) % 0.38/0.59 (define @t17 () (tptp.relation @t2)) % 0.38/0.59 (define @t18 () (@list @t2)) % 0.38/0.59 (define @t19 () (tptp.powerset @t1)) % 0.38/0.59 (define @t20 () (tptp.empty tptp.empty_set)) % 0.38/0.59 (define @t21 () (tptp.relation_rng @t1)) % 0.38/0.59 (define @t22 () (tptp.empty @t21)) % 0.38/0.59 (define @t23 () (not @t6)) % 0.38/0.59 (define @t24 () (and @t23 @t5)) % 0.38/0.59 (define @t25 () (tptp.empty @t2)) % 0.38/0.59 (define @t26 () (tptp.element @t2 @t19)) % 0.38/0.59 (define @t27 () (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t8))) (and @t3 (tptp.in @t1 (tptp.relation_rng @t8))))) % 0.38/0.59 (define @t28 () (tptp.relation @t8)) % 0.38/0.59 (define @t29 () (@list @t1 @t2 @t8)) % 0.38/0.59 (define @t30 () (forall @t29 (=> @t28 @t27))) % 0.38/0.59 (define @t31 () (tptp.subset (tptp.relation_rng @t16) @t1)) % 0.38/0.59 (define @t32 () (forall @t4 (=> @t17 @t31))) % 0.38/0.59 (define @t33 () (not @t32)) % 0.38/0.59 (define @t34 () (tptp.element @t1 @t2)) % 0.38/0.59 (define @t35 () (tptp.element @t2 (tptp.powerset @t8))) % 0.38/0.59 (define @t36 () (forall @t4 (or (not @t17) @t31))) % 0.38/0.59 (define @t37 () (@quantifiers_skolemize @t36 1)) % 0.38/0.59 (define @t38 () (tptp.relation @t37)) % 0.38/0.59 (define @t39 () (@quantifiers_skolemize @t36 0)) % 0.38/0.59 (define @t40 () (tptp.relation_rng (tptp.relation_rng_restriction @t39 @t37))) % 0.38/0.59 (define @t41 () (tptp.subset @t40 @t39)) % 0.38/0.59 (define @t42 () (not @t38)) % 0.38/0.59 (define @t43 () (or @t42 @t41)) % 0.38/0.59 (define @t44 () (@list true)) % 0.38/0.59 (define @t45 () (@list @t43)) % 0.38/0.59 (define @t46 () (forall @t11 (or (not (tptp.in @t8 @t40)) (tptp.in @t8 @t39)))) % 0.38/0.59 (define @t47 () (@quantifiers_skolemize @t46 0)) % 0.38/0.59 (define @t48 () (= @t41 @t46)) % 0.38/0.59 (define @t49 () (not @t46)) % 0.38/0.59 (define @t50 () (tptp.in @t47 @t39)) % 0.38/0.59 (define @t51 () (tptp.in @t47 @t40)) % 0.38/0.59 (define @t52 () (not @t51)) % 0.38/0.59 (define @t53 () (or @t52 @t50)) % 0.38/0.59 (define @t54 () (@list @t53)) % 0.38/0.59 (define @t55 () (and @t50 (tptp.in @t47 (tptp.relation_rng @t37)))) % 0.38/0.59 (define @t56 () (not @t55)) % 0.38/0.59 (define @t57 () (= @t51 @t55)) % 0.38/0.59 (define @t58 () (not @t57)) % 0.38/0.59 (define @t59 () (or @t42 @t57)) % 0.38/0.59 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.38/0.59 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.38/0.59 (assume @p3 @t15) % 0.38/0.59 (assume @p4 true) % 0.38/0.59 (assume @p5 (forall @t4 (=> @t17 (tptp.relation @t16)))) % 0.38/0.59 (assume @p6 (forall @t7 (exists @t18 (tptp.element @t2 @t1)))) % 0.38/0.59 (assume @p7 (forall @t7 (not (tptp.empty @t19)))) % 0.38/0.59 (assume @p8 @t20) % 0.38/0.59 (assume @p9 (and @t20 (tptp.relation tptp.empty_set))) % 0.38/0.59 (assume @p10 (forall @t7 (=> @t24 (not @t22)))) % 0.38/0.59 (assume @p11 (forall @t7 (=> @t6 (and @t22 (tptp.relation @t21))))) % 0.38/0.59 (assume @p12 (exists @t7 (and @t6 @t5))) % 0.38/0.59 (assume @p13 (forall @t7 (=> @t23 (exists @t18 (and @t26 (not @t25)))))) % 0.38/0.59 (assume @p14 (exists @t7 @t6)) % 0.38/0.59 (assume @p15 (exists @t7 @t24)) % 0.38/0.59 (assume @p16 (forall @t7 (exists @t18 (and @t26 @t25)))) % 0.38/0.59 (assume @p17 (exists @t7 @t23)) % 0.38/0.59 (assume @p18 (forall @t4 (tptp.subset @t1 @t1))) % 0.38/0.59 (assume @p19 @t30) % 0.38/0.59 (assume @p20 @t33) % 0.38/0.59 (assume @p21 (forall @t4 (=> @t3 @t34))) % 0.38/0.59 (assume @p22 (forall @t4 (=> @t34 (or @t25 @t3)))) % 0.38/0.59 (assume @p23 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t13))) % 0.38/0.59 (assume @p24 (forall @t29 (=> (and @t3 @t35) (tptp.element @t1 @t8)))) % 0.38/0.59 (assume @p25 (forall @t29 (not (and @t3 @t35 (tptp.empty @t8))))) % 0.38/0.59 (assume @p26 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.38/0.59 (assume @p27 (forall @t4 (not (and @t3 @t25)))) % 0.38/0.59 (assume @p28 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t25)))) % 0.38/0.59 (step @p29 :rule bool-impl-elim :args (@t17 @t31)) % 0.38/0.59 (step @p30 :rule cong :premises (@p29) :args (@t32)) % 0.38/0.59 (step @p31 :rule cong :premises (@p30) :args (@t33)) % 0.38/0.59 (step @p32 :rule eq_resolve :premises (@p20 @p31)) % 0.38/0.59 (step @p33 :rule skolemize :premises (@p32)) % 0.38/0.59 (step @p34 :rule bool-double-not-elim :args (@t38)) % 0.38/0.59 (step @p35 :rule refl :args (@t43)) % 0.38/0.59 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or @t43 (not @t42)))) % 0.38/0.59 (step @p37 :rule cnf_or_neg :args (@t43 0)) % 0.38/0.59 (step @p38 :rule eq_resolve :premises (@p37 @p36)) % 0.38/0.59 (step @p39 :rule reordering :premises (@p38) :args ((or @t38 @t43))) % 0.38/0.59 (step @p40 :rule chain_m_resolution :premises (@p39 @p33) :args (@t38 @t44 @t45)) % 0.38/0.59 (step @p41 :rule bool-impl-elim :args (@t28 @t27)) % 0.38/0.59 (step @p42 :rule cong :premises (@p41) :args (@t30)) % 0.38/0.59 (step @p43 :rule eq_resolve :premises (@p19 @p42)) % 0.38/0.59 (step @p44 :rule instantiate :premises (@p43) :args ((@list @t47 @t39 @t37))) % 0.38/0.59 (step @p45 :rule bool-impl-elim :args (@t10 @t9)) % 0.38/0.59 (step @p46 :rule cong :premises (@p45) :args (@t12)) % 0.38/0.59 (step @p47 :rule refl :args (@t13)) % 0.38/0.59 (step @p48 :rule cong :premises (@p47 @p46) :args (@t14)) % 0.38/0.59 (step @p49 :rule cong :premises (@p48) :args (@t15)) % 0.38/0.59 (step @p50 :rule eq_resolve :premises (@p3 @p49)) % 0.38/0.59 (step @p51 :rule instantiate :premises (@p50) :args ((@list @t40 @t39))) % 0.38/0.59 (step @p52 :rule cnf_or_neg :args (@t43 1)) % 0.38/0.59 (step @p53 :rule chain_m_resolution :premises (@p52 @p33) :args ((not @t41) @t44 @t45)) % 0.38/0.59 (step @p54 :rule cnf_equiv_pos2 :args (@t48)) % 0.38/0.59 (step @p55 :rule reordering :premises (@p54) :args ((or @t41 @t49 (not @t48)))) % 0.38/0.59 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p51) :args (@t49 (@list true false) (@list @t41 @t48))) % 0.38/0.59 (step @p57 :rule skolemize :premises (@p56)) % 0.38/0.59 (step @p58 :rule cnf_or_neg :args (@t53 1)) % 0.38/0.59 (step @p59 :rule chain_m_resolution :premises (@p58 @p57) :args ((not @t50) @t44 @t54)) % 0.38/0.59 (step @p60 :rule cnf_and_pos :args (@t55 0)) % 0.38/0.59 (step @p61 :rule reordering :premises (@p60) :args ((or @t50 @t56))) % 0.38/0.59 (step @p62 :rule chain_m_resolution :premises (@p61 @p59) :args (@t56 @t44 (@list @t50))) % 0.38/0.59 (step @p63 :rule bool-double-not-elim :args (@t51)) % 0.38/0.59 (step @p64 :rule refl :args (@t53)) % 0.38/0.59 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t53 (not @t52)))) % 0.38/0.59 (step @p66 :rule cnf_or_neg :args (@t53 0)) % 0.38/0.59 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 0.38/0.59 (step @p68 :rule reordering :premises (@p67) :args ((or @t51 @t53))) % 0.38/0.59 (step @p69 :rule chain_m_resolution :premises (@p68 @p57) :args (@t51 @t44 @t54)) % 0.38/0.59 (step @p70 :rule cnf_equiv_pos1 :args (@t57)) % 0.38/0.59 (step @p71 :rule reordering :premises (@p70) :args ((or @t52 @t55 @t58))) % 0.38/0.59 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p62) :args (@t58 (@list false true) (@list @t51 @t55))) % 0.38/0.59 (step @p73 :rule cnf_or_pos :args (@t59)) % 0.38/0.59 (step @p74 :rule reordering :premises (@p73) :args ((or @t42 @t57 (not @t59)))) % 0.38/0.59 (step @p75 false :rule chain_m_resolution :premises (@p74 @p72 @p44 @p40) :args (false (@list true false false) (@list @t57 @t59 @t38))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------