%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU217+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 : 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 08:50:59 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU217+1 : TPTP v9.2.1. Released v3.3.0. % 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 : n008.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 16:41:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.function (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.empty_set $$unsorted) % 0.37/0.58 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.37/0.58 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.58 (define @t2 () (tptp.relation @t1)) % 0.37/0.58 (define @t3 () (@list @t1)) % 0.37/0.58 (define @t4 () (tptp.relation tptp.empty_set)) % 0.37/0.58 (define @t5 () (tptp.empty tptp.empty_set)) % 0.37/0.58 (define @t6 () (@var "B" $$unsorted)) % 0.37/0.58 (define @t7 () (tptp.function @t1)) % 0.37/0.58 (define @t8 () (tptp.empty @t1)) % 0.37/0.58 (define @t9 () (not @t8)) % 0.37/0.58 (define @t10 () (and @t9 @t2)) % 0.37/0.58 (define @t11 () (tptp.relation_dom @t1)) % 0.37/0.58 (define @t12 () (tptp.empty @t11)) % 0.37/0.58 (define @t13 () (tptp.in @t1 @t6)) % 0.37/0.58 (define @t14 () (tptp.empty @t6)) % 0.37/0.58 (define @t15 () (tptp.element @t1 @t6)) % 0.37/0.58 (define @t16 () (@list @t1 @t6)) % 0.37/0.58 (define @t17 () (tptp.in @t6 @t1)) % 0.37/0.58 (define @t18 () (not @t17)) % 0.37/0.58 (define @t19 () (tptp.identity_relation @t1)) % 0.37/0.58 (define @t20 () (tptp.relation @t19)) % 0.37/0.58 (define @t21 () (forall @t3 @t20)) % 0.37/0.58 (define @t22 () (tptp.function @t19)) % 0.37/0.58 (define @t23 () (forall @t3 (and @t20 @t22))) % 0.37/0.58 (define @t24 () (tptp.apply @t19 @t6)) % 0.37/0.58 (define @t25 () (=> @t17 (= @t24 @t6))) % 0.37/0.58 (define @t26 () (forall @t16 @t25)) % 0.37/0.58 (define @t27 () (not @t26)) % 0.37/0.58 (define @t28 () (@var "C" $$unsorted)) % 0.37/0.58 (define @t29 () (tptp.apply @t6 @t28)) % 0.37/0.58 (define @t30 () (tptp.in @t28 @t1)) % 0.37/0.58 (define @t31 () (=> @t30 (= @t29 @t28))) % 0.37/0.58 (define @t32 () (@list @t28)) % 0.37/0.58 (define @t33 () (forall @t32 @t31)) % 0.37/0.58 (define @t34 () (tptp.relation_dom @t6)) % 0.37/0.58 (define @t35 () (and (= @t34 @t1) @t33)) % 0.37/0.58 (define @t36 () (= @t6 @t19)) % 0.37/0.58 (define @t37 () (= @t36 @t35)) % 0.37/0.58 (define @t38 () (tptp.function @t6)) % 0.37/0.58 (define @t39 () (tptp.relation @t6)) % 0.37/0.58 (define @t40 () (and @t39 @t38)) % 0.37/0.58 (define @t41 () (=> @t40 @t37)) % 0.37/0.58 (define @t42 () (forall @t16 @t41)) % 0.37/0.58 (define @t43 () (= @t6 @t24)) % 0.37/0.58 (define @t44 () (= @t28 @t29)) % 0.37/0.58 (define @t45 () (= @t36 (and (= @t1 @t34) (forall @t32 (or (not @t30) @t44))))) % 0.37/0.58 (define @t46 () (not @t38)) % 0.37/0.58 (define @t47 () (not @t39)) % 0.37/0.58 (define @t48 () (or @t47 @t46 @t45)) % 0.37/0.58 (define @t49 () (forall @t16 (or @t18 @t43))) % 0.37/0.58 (define @t50 () (@quantifiers_skolemize @t49 0)) % 0.37/0.58 (define @t51 () (tptp.identity_relation @t50)) % 0.37/0.58 (define @t52 () (forall @t32 (or (not (tptp.in @t28 @t50)) (= @t28 (tptp.apply @t51 @t28))))) % 0.37/0.58 (define @t53 () (and (= @t50 (tptp.relation_dom @t51)) @t52)) % 0.37/0.58 (define @t54 () (= (= @t51 @t51) @t53)) % 0.37/0.58 (define @t55 () (tptp.function @t51)) % 0.37/0.58 (define @t56 () (not @t55)) % 0.37/0.58 (define @t57 () (tptp.relation @t51)) % 0.37/0.58 (define @t58 () (not @t57)) % 0.37/0.58 (define @t59 () (or @t58 @t56 @t54)) % 0.37/0.58 (define @t60 () (forall @t16 @t48)) % 0.37/0.58 (define @t61 () (or @t58 @t56 @t53)) % 0.37/0.58 (define @t62 () (@list false)) % 0.37/0.58 (define @t63 () (forall @t3 @t22)) % 0.37/0.58 (define @t64 () (@list @t1)) % 0.37/0.58 (define @t65 () (and @t21 @t63)) % 0.37/0.58 (define @t66 () (@list @t50)) % 0.37/0.58 (define @t67 () (@quantifiers_skolemize @t49 1)) % 0.37/0.58 (define @t68 () (or (not (tptp.in @t67 @t50)) (= @t67 (tptp.apply @t51 @t67)))) % 0.37/0.58 (assume @p1 (exists @t3 (and @t2 (tptp.relation_empty_yielding @t1)))) % 0.37/0.58 (assume @p2 true) % 0.37/0.58 (assume @p3 (and @t5 @t4)) % 0.37/0.58 (assume @p4 (and @t5 @t4 (tptp.relation_empty_yielding tptp.empty_set))) % 0.37/0.58 (assume @p5 @t5) % 0.37/0.58 (assume @p6 (forall @t3 (exists (@list @t6) (tptp.element @t6 @t1)))) % 0.37/0.58 (assume @p7 (forall @t3 (=> @t8 @t7))) % 0.37/0.58 (assume @p8 (exists @t3 (and @t8 @t2))) % 0.37/0.58 (assume @p9 (forall @t3 (=> @t8 @t2))) % 0.37/0.58 (assume @p10 (exists @t3 @t10)) % 0.37/0.58 (assume @p11 (forall @t3 (=> @t10 (not @t12)))) % 0.37/0.58 (assume @p12 (forall @t3 (=> @t8 (and @t12 (tptp.relation @t11))))) % 0.37/0.58 (assume @p13 (exists @t3 @t8)) % 0.37/0.58 (assume @p14 (exists @t3 @t9)) % 0.37/0.58 (assume @p15 (forall @t16 (=> @t15 (or @t14 @t13)))) % 0.37/0.58 (assume @p16 (forall @t3 (=> @t8 (= @t1 tptp.empty_set)))) % 0.37/0.58 (assume @p17 (forall @t16 (not (and @t8 (not (= @t1 @t6)) @t14)))) % 0.37/0.58 (assume @p18 (forall @t16 (=> @t13 @t18))) % 0.37/0.58 (assume @p19 @t21) % 0.37/0.58 (assume @p20 (exists @t3 (and @t2 @t7))) % 0.37/0.58 (assume @p21 @t23) % 0.37/0.58 (assume @p22 (forall @t16 (=> @t13 @t15))) % 0.37/0.58 (assume @p23 (forall @t16 (not (and @t13 @t14)))) % 0.37/0.58 (assume @p24 @t27) % 0.37/0.58 (assume @p25 @t42) % 0.37/0.58 (step @p26 :rule bool-impl-elim :args (@t17 @t43)) % 0.37/0.58 (step @p27 :rule cong :premises (@p26) :args ((forall @t16 (=> @t17 @t43)))) % 0.37/0.58 (step @p28 :rule eq-symm :args (@t24 @t6)) % 0.37/0.58 (step @p29 :rule refl :args (@t17)) % 0.37/0.58 (step @p30 :rule cong :premises (@p29 @p28) :args (@t25)) % 0.37/0.58 (step @p31 :rule cong :premises (@p30) :args (@t26)) % 0.37/0.58 (step @p32 :rule trans :premises (@p31 @p27)) % 0.37/0.58 (step @p33 :rule cong :premises (@p32) :args (@t27)) % 0.37/0.58 (step @p34 :rule eq_resolve :premises (@p24 @p33)) % 0.37/0.58 (step @p35 :rule skolemize :premises (@p34)) % 0.37/0.58 (step @p36 :rule aci_norm :args ((= (or (or @t47 @t46) @t45) @t48))) % 0.37/0.58 (step @p37 :rule refl :args (@t45)) % 0.37/0.58 (step @p38 :rule bool-and-de-morgan :args (@t39 @t38 true)) % 0.37/0.58 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or (not @t40) @t45))) % 0.37/0.58 (step @p40 :rule trans :premises (@p39 @p36)) % 0.37/0.58 (step @p41 :rule bool-impl-elim :args (@t40 @t45)) % 0.37/0.58 (step @p42 :rule trans :premises (@p41 @p40)) % 0.37/0.58 (step @p43 :rule cong :premises (@p42) :args ((forall @t16 (=> @t40 @t45)))) % 0.37/0.58 (step @p44 :rule bool-impl-elim :args (@t30 @t44)) % 0.37/0.58 (step @p45 :rule cong :premises (@p44) :args ((forall @t32 (=> @t30 @t44)))) % 0.37/0.58 (step @p46 :rule eq-symm :args (@t29 @t28)) % 0.37/0.58 (step @p47 :rule refl :args (@t30)) % 0.37/0.58 (step @p48 :rule cong :premises (@p47 @p46) :args (@t31)) % 0.37/0.58 (step @p49 :rule cong :premises (@p48) :args (@t33)) % 0.37/0.58 (step @p50 :rule trans :premises (@p49 @p45)) % 0.37/0.58 (step @p51 :rule eq-symm :args (@t34 @t1)) % 0.37/0.58 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t35)) % 0.37/0.58 (step @p53 :rule refl :args (@t36)) % 0.37/0.58 (step @p54 :rule cong :premises (@p53 @p52) :args (@t37)) % 0.37/0.58 (step @p55 :rule refl :args (@t40)) % 0.37/0.58 (step @p56 :rule cong :premises (@p55 @p54) :args (@t41)) % 0.37/0.58 (step @p57 :rule cong :premises (@p56) :args (@t42)) % 0.37/0.58 (step @p58 :rule trans :premises (@p57 @p43)) % 0.37/0.58 (step @p59 :rule eq_resolve :premises (@p25 @p58)) % 0.37/0.58 (step @p60 :rule bool-eq-true :args (@t53)) % 0.37/0.58 (step @p61 :rule eq-symm :args (true @t53)) % 0.37/0.58 (step @p62 :rule trans :premises (@p61 @p60)) % 0.37/0.58 (step @p63 :rule refl :args (@t53)) % 0.37/0.58 (step @p64 :rule eq-refl :args (@t51)) % 0.37/0.58 (step @p65 :rule cong :premises (@p64 @p63) :args (@t54)) % 0.37/0.58 (step @p66 :rule trans :premises (@p65 @p62)) % 0.37/0.58 (step @p67 :rule refl :args (@t56)) % 0.37/0.58 (step @p68 :rule refl :args (@t58)) % 0.37/0.58 (step @p69 :rule nary_cong :premises (@p68 @p67 @p66) :args (@t59)) % 0.37/0.58 (step @p70 :rule refl :args (@t60)) % 0.37/0.58 (step @p71 :rule cong :premises (@p70 @p69) :args ((=> @t60 @t59))) % 0.37/0.58 (assume-push @p101 @t60) % 0.37/0.58 (step @p73 :rule instantiate :premises (@p59) :args ((@list @t50 @t51))) % 0.37/0.58 (step-pop @p102 :rule scope :premises (@p73)) % 0.37/0.58 (step @p74 :rule process_scope :premises (@p102) :args (@t59)) % 0.37/0.58 (step @p76 :rule eq_resolve :premises (@p74 @p71)) % 0.37/0.58 (step @p77 :rule implies_elim :premises (@p76)) % 0.37/0.58 (step @p78 :rule chain_m_resolution :premises (@p77 @p59) :args (@t61 @t62 (@list @t60))) % 0.37/0.58 (step @p79 :rule alpha_equiv :args (@t63 @t64 (@list (@var "BOUND_VARIABLE_7591" $$unsorted)))) % 0.37/0.58 (step @p80 :rule alpha_equiv :args (@t21 @t64 (@list (@var "BOUND_VARIABLE_7585" $$unsorted)))) % 0.37/0.58 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t65)) % 0.37/0.58 (step @p82 :rule quant-miniscope-and :args ((= @t23 @t65))) % 0.37/0.58 (step @p83 :rule trans :premises (@p82 @p81)) % 0.37/0.58 (step @p84 :rule eq_resolve :premises (@p21 @p83)) % 0.37/0.58 (step @p85 :rule and_elim :premises (@p84) :args (1)) % 0.37/0.58 (step @p86 :rule instantiate :premises (@p85) :args (@t66)) % 0.37/0.58 (step @p87 :rule instantiate :premises (@p19) :args (@t66)) % 0.37/0.58 (step @p88 :rule cnf_or_pos :args (@t61)) % 0.37/0.58 (step @p89 :rule reordering :premises (@p88) :args ((or @t58 @t56 @t53 (not @t61)))) % 0.37/0.58 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p86 @p78) :args (@t53 (@list false false false) (@list @t57 @t55 @t61))) % 0.37/0.58 (step @p91 :rule cnf_and_pos :args (@t53 1)) % 0.37/0.58 (step @p92 :rule reordering :premises (@p91) :args ((or @t52 (not @t53)))) % 0.37/0.58 (step @p93 :rule chain_m_resolution :premises (@p92 @p90) :args (@t52 @t62 (@list @t53))) % 0.37/0.58 (assume-push @p103 @t52) % 0.37/0.58 (step @p95 :rule instantiate :premises (@p93) :args ((@list @t67))) % 0.37/0.58 (step-pop @p104 :rule scope :premises (@p95)) % 0.37/0.58 (step @p96 :rule process_scope :premises (@p104) :args (@t68)) % 0.37/0.58 (step @p98 :rule implies_elim :premises (@p96)) % 0.37/0.58 (step @p99 :rule reordering :premises (@p98) :args ((or @t68 (not @t52)))) % 0.37/0.58 (step @p100 false :rule chain_m_resolution :premises (@p99 @p93 @p35) :args (false (@list false true) (@list @t52 @t68))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------