%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU173+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 : n023.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 08:50:50 AM UTC 2026 % Result : Theorem 16.54s 16.78s % Output : Proof 16.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU173+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n023.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:34:28 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 16.54/16.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.54/16.78 --- Run --no-e-matching --full-saturate-quant at 6... % 16.54/16.78 % SZS status Theorem % 16.54/16.78 % SZS output start Proof % 16.54/16.78 ( % 16.54/16.78 (declare-sort $$unsorted 0) % 16.54/16.78 (declare-const tptp.empty_set $$unsorted) % 16.54/16.78 (declare-const tptp.empty (-> $$unsorted Bool)) % 16.54/16.78 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 16.54/16.78 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 16.54/16.78 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 16.54/16.78 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 16.54/16.78 (define @t1 () (@var "A" $$unsorted)) % 16.54/16.78 (define @t2 () (@var "B" $$unsorted)) % 16.54/16.78 (define @t3 () (tptp.in @t2 @t1)) % 16.54/16.78 (define @t4 () (tptp.in @t1 @t2)) % 16.54/16.78 (define @t5 () (@list @t1 @t2)) % 16.54/16.78 (define @t6 () (@var "C" $$unsorted)) % 16.54/16.78 (define @t7 () (tptp.in @t6 @t2)) % 16.54/16.78 (define @t8 () (@list @t6)) % 16.54/16.78 (define @t9 () (tptp.powerset @t1)) % 16.54/16.78 (define @t10 () (forall @t5 (= (= @t2 @t9) (forall @t8 (= @t7 (tptp.subset @t6 @t1)))))) % 16.54/16.78 (define @t11 () (tptp.empty @t2)) % 16.54/16.78 (define @t12 () (tptp.element @t2 @t1)) % 16.54/16.78 (define @t13 () (= @t12 @t11)) % 16.54/16.78 (define @t14 () (tptp.empty @t1)) % 16.54/16.78 (define @t15 () (=> @t14 @t13)) % 16.54/16.78 (define @t16 () (not @t14)) % 16.54/16.78 (define @t17 () (=> @t16 (= @t12 @t3))) % 16.54/16.78 (define @t18 () (and @t17 @t15)) % 16.54/16.78 (define @t19 () (forall @t5 @t18)) % 16.54/16.78 (define @t20 () (tptp.in @t6 @t1)) % 16.54/16.78 (define @t21 () (forall @t8 (=> @t20 @t7))) % 16.54/16.78 (define @t22 () (tptp.subset @t1 @t2)) % 16.54/16.78 (define @t23 () (= @t22 @t21)) % 16.54/16.78 (define @t24 () (forall @t5 @t23)) % 16.54/16.78 (define @t25 () (@list @t2)) % 16.54/16.78 (define @t26 () (@list @t1)) % 16.54/16.78 (define @t27 () (tptp.element @t1 (tptp.powerset @t2))) % 16.54/16.78 (define @t28 () (=> @t21 @t27)) % 16.54/16.78 (define @t29 () (forall @t5 @t28)) % 16.54/16.78 (define @t30 () (not @t29)) % 16.54/16.78 (define @t31 () (tptp.element @t2 @t9)) % 16.54/16.78 (define @t32 () (forall @t8 (or (not @t20) @t7))) % 16.54/16.78 (define @t33 () (forall @t5 (or (not @t32) @t27))) % 16.54/16.78 (define @t34 () (@quantifiers_skolemize @t33 1)) % 16.54/16.78 (define @t35 () (tptp.powerset @t34)) % 16.54/16.78 (define @t36 () (tptp.in @t6 @t35)) % 16.54/16.78 (define @t37 () (tptp.subset @t6 @t34)) % 16.54/16.78 (define @t38 () (forall @t8 (= @t37 @t36))) % 16.54/16.78 (define @t39 () (forall @t8 (= @t36 @t37))) % 16.54/16.78 (define @t40 () (= (= @t35 @t35) @t39)) % 16.54/16.78 (define @t41 () (@list false)) % 16.54/16.78 (define @t42 () (@quantifiers_skolemize @t33 0)) % 16.54/16.78 (define @t43 () (tptp.subset @t42 @t34)) % 16.54/16.78 (define @t44 () (tptp.in @t42 @t35)) % 16.54/16.78 (define @t45 () (= @t43 @t44)) % 16.54/16.78 (define @t46 () (= @t44 @t43)) % 16.54/16.78 (define @t47 () (forall @t8 (or (not (tptp.in @t6 @t42)) (tptp.in @t6 @t34)))) % 16.54/16.78 (define @t48 () (forall @t5 (= @t22 @t32))) % 16.54/16.78 (define @t49 () (= @t43 @t47)) % 16.54/16.78 (define @t50 () (= @t47 @t43)) % 16.54/16.78 (define @t51 () (tptp.element @t42 @t35)) % 16.54/16.78 (define @t52 () (not @t47)) % 16.54/16.78 (define @t53 () (or @t52 @t51)) % 16.54/16.78 (define @t54 () (@list true)) % 16.54/16.78 (define @t55 () (@list @t53)) % 16.54/16.78 (define @t56 () (@list false false)) % 16.54/16.78 (define @t57 () (= @t51 @t44)) % 16.54/16.78 (define @t58 () (not @t57)) % 16.54/16.78 (define @t59 () (or @t16 @t13)) % 16.54/16.78 (define @t60 () (forall @t5 @t59)) % 16.54/16.78 (define @t61 () (@list @t1 @t2)) % 16.54/16.78 (define @t62 () (= @t3 @t12)) % 16.54/16.78 (define @t63 () (or @t14 @t62)) % 16.54/16.78 (define @t64 () (forall @t5 @t63)) % 16.54/16.78 (define @t65 () (@var "BOUND_VARIABLE_7501" $$unsorted)) % 16.54/16.78 (define @t66 () (@var "BOUND_VARIABLE_7499" $$unsorted)) % 16.54/16.78 (define @t67 () (and @t64 @t60)) % 16.54/16.78 (define @t68 () (and (=> @t16 @t62) @t15)) % 16.54/16.78 (define @t69 () (tptp.empty @t35)) % 16.54/16.78 (define @t70 () (or @t69 (= @t44 @t51))) % 16.54/16.78 (define @t71 () (forall (@list @t66 @t65) (or (tptp.empty @t66) (= (tptp.in @t65 @t66) (tptp.element @t65 @t66))))) % 16.54/16.78 (define @t72 () (or @t69 @t57)) % 16.54/16.78 (assume @p1 (forall @t5 (=> @t4 (not @t3)))) % 16.54/16.78 (assume @p2 @t10) % 16.54/16.78 (assume @p3 @t19) % 16.54/16.78 (assume @p4 @t24) % 16.54/16.78 (assume @p5 true) % 16.54/16.78 (assume @p6 (forall @t26 (exists @t25 @t12))) % 16.54/16.78 (assume @p7 (forall @t26 (not (tptp.empty @t9)))) % 16.54/16.78 (assume @p8 (tptp.empty tptp.empty_set)) % 16.54/16.78 (assume @p9 @t30) % 16.54/16.78 (assume @p10 (forall @t26 (=> @t16 (exists @t25 (and @t31 (not @t11)))))) % 16.54/16.78 (assume @p11 (exists @t26 @t14)) % 16.54/16.78 (assume @p12 (forall @t26 (exists @t25 (and @t31 @t11)))) % 16.54/16.78 (assume @p13 (exists @t26 @t16)) % 16.54/16.78 (assume @p14 (forall @t5 (tptp.subset @t1 @t1))) % 16.54/16.78 (assume @p15 (forall @t26 (=> @t14 (= @t1 tptp.empty_set)))) % 16.54/16.78 (assume @p16 (forall @t5 (not (and @t4 @t11)))) % 16.54/16.78 (assume @p17 (forall @t5 (not (and @t14 (not (= @t1 @t2)) @t11)))) % 16.54/16.78 (step @p18 :rule instantiate :premises (@p7) :args ((@list @t34))) % 16.54/16.78 (step @p19 :rule bool-eq-true :args (@t38)) % 16.54/16.78 (step @p20 :rule eq-symm :args (true @t38)) % 16.54/16.78 (step @p21 :rule trans :premises (@p20 @p19)) % 16.54/16.78 (step @p22 :rule eq-symm :args (@t36 @t37)) % 16.54/16.78 (step @p23 :rule cong :premises (@p22) :args (@t39)) % 16.54/16.78 (step @p24 :rule eq-refl :args (@t35)) % 16.54/16.78 (step @p25 :rule cong :premises (@p24 @p23) :args (@t40)) % 16.54/16.78 (step @p26 :rule trans :premises (@p25 @p21)) % 16.54/16.78 (step @p27 :rule refl :args (@t10)) % 16.54/16.78 (step @p28 :rule cong :premises (@p27 @p26) :args ((=> @t10 @t40))) % 16.54/16.78 (assume-push @p127 @t10) % 16.54/16.78 (step @p30 :rule instantiate :premises (@p2) :args ((@list @t34 @t35))) % 16.54/16.78 (step-pop @p128 :rule scope :premises (@p30)) % 16.54/16.78 (step @p31 :rule process_scope :premises (@p128) :args (@t40)) % 16.54/16.78 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 16.54/16.78 (step @p34 :rule implies_elim :premises (@p33)) % 16.54/16.78 (step @p35 :rule chain_m_resolution :premises (@p34 @p2) :args (@t38 @t41 (@list @t10))) % 16.54/16.78 (step @p36 :rule eq-symm :args (@t43 @t44)) % 16.54/16.78 (step @p37 :rule refl :args (@t38)) % 16.54/16.78 (step @p38 :rule cong :premises (@p37 @p36) :args ((=> @t38 @t45))) % 16.54/16.78 (assume-push @p129 @t38) % 16.54/16.78 (step @p40 :rule instantiate :premises (@p35) :args ((@list @t42))) % 16.54/16.78 (step-pop @p130 :rule scope :premises (@p40)) % 16.54/16.78 (step @p41 :rule process_scope :premises (@p130) :args (@t45)) % 16.54/16.78 (step @p43 :rule eq_resolve :premises (@p41 @p38)) % 16.54/16.78 (step @p44 :rule implies_elim :premises (@p43)) % 16.54/16.78 (step @p45 :rule chain_m_resolution :premises (@p44 @p35) :args (@t46 @t41 (@list @t38))) % 16.54/16.78 (step @p46 :rule bool-impl-elim :args (@t20 @t7)) % 16.54/16.78 (step @p47 :rule cong :premises (@p46) :args (@t21)) % 16.54/16.78 (step @p48 :rule refl :args (@t22)) % 16.54/16.78 (step @p49 :rule cong :premises (@p48 @p47) :args (@t23)) % 16.54/16.78 (step @p50 :rule cong :premises (@p49) :args (@t24)) % 16.54/16.78 (step @p51 :rule eq_resolve :premises (@p4 @p50)) % 16.54/16.78 (step @p52 :rule eq-symm :args (@t43 @t47)) % 16.54/16.78 (step @p53 :rule refl :args (@t48)) % 16.54/16.78 (step @p54 :rule cong :premises (@p53 @p52) :args ((=> @t48 @t49))) % 16.54/16.78 (assume-push @p131 @t48) % 16.54/16.78 (step @p56 :rule instantiate :premises (@p51) :args ((@list @t42 @t34))) % 16.54/16.78 (step-pop @p132 :rule scope :premises (@p56)) % 16.54/16.78 (step @p57 :rule process_scope :premises (@p132) :args (@t49)) % 16.54/16.78 (step @p59 :rule eq_resolve :premises (@p57 @p54)) % 16.54/16.78 (step @p60 :rule implies_elim :premises (@p59)) % 16.54/16.78 (step @p61 :rule chain_m_resolution :premises (@p60 @p51) :args (@t50 @t41 (@list @t48))) % 16.54/16.78 (step @p62 :rule bool-impl-elim :args (@t32 @t27)) % 16.54/16.78 (step @p63 :rule cong :premises (@p62) :args ((forall @t5 (=> @t32 @t27)))) % 16.54/16.78 (step @p64 :rule refl :args (@t27)) % 16.54/16.78 (step @p65 :rule cong :premises (@p47 @p64) :args (@t28)) % 16.54/16.78 (step @p66 :rule cong :premises (@p65) :args (@t29)) % 16.54/16.78 (step @p67 :rule trans :premises (@p66 @p63)) % 16.54/16.78 (step @p68 :rule cong :premises (@p67) :args (@t30)) % 16.54/16.78 (step @p69 :rule eq_resolve :premises (@p9 @p68)) % 16.54/16.78 (step @p70 :rule skolemize :premises (@p69)) % 16.54/16.78 (step @p71 :rule bool-double-not-elim :args (@t47)) % 16.54/16.78 (step @p72 :rule refl :args (@t53)) % 16.54/16.78 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t53 (not @t52)))) % 16.54/16.78 (step @p74 :rule cnf_or_neg :args (@t53 0)) % 16.54/16.78 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 16.54/16.78 (step @p76 :rule reordering :premises (@p75) :args ((or @t47 @t53))) % 16.54/16.78 (step @p77 :rule chain_m_resolution :premises (@p76 @p70) :args (@t47 @t54 @t55)) % 16.54/16.78 (step @p78 :rule cnf_equiv_pos1 :args (@t50)) % 16.54/16.78 (step @p79 :rule reordering :premises (@p78) :args ((or @t52 @t43 (not @t50)))) % 16.54/16.78 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p61) :args (@t43 @t56 (@list @t47 @t50))) % 16.54/16.78 (step @p81 :rule cnf_equiv_pos2 :args (@t46)) % 16.54/16.78 (step @p82 :rule reordering :premises (@p81) :args ((or @t44 (not @t43) (not @t46)))) % 16.54/16.78 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p45) :args (@t44 @t56 (@list @t43 @t46))) % 16.54/16.78 (step @p84 :rule cnf_or_neg :args (@t53 1)) % 16.54/16.78 (step @p85 :rule chain_m_resolution :premises (@p84 @p70) :args ((not @t51) @t54 @t55)) % 16.54/16.78 (step @p86 :rule cnf_equiv_pos2 :args (@t57)) % 16.54/16.78 (step @p87 :rule reordering :premises (@p86) :args ((or @t51 (not @t44) @t58))) % 16.54/16.78 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p83) :args (@t58 (@list true false) (@list @t51 @t44))) % 16.54/16.78 (step @p89 :rule alpha_equiv :args (@t60 @t61 (@list (@var "BOUND_VARIABLE_7510" $$unsorted) (@var "BOUND_VARIABLE_7512" $$unsorted)))) % 16.54/16.78 (step @p90 :rule alpha_equiv :args (@t64 @t61 (@list @t66 @t65))) % 16.54/16.78 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t67)) % 16.54/16.78 (step @p92 :rule quant-miniscope-and :args ((= (forall @t5 (and @t63 @t59)) @t67))) % 16.54/16.78 (step @p93 :rule trans :premises (@p92 @p91)) % 16.54/16.78 (step @p94 :rule bool-impl-elim :args (@t14 @t13)) % 16.54/16.78 (step @p95 :rule refl :args (@t62)) % 16.54/16.78 (step @p96 :rule bool-double-not-elim :args (@t14)) % 16.54/16.78 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or (not @t16) @t62))) % 16.54/16.78 (step @p98 :rule bool-impl-elim :args (@t16 @t62)) % 16.54/16.78 (step @p99 :rule trans :premises (@p98 @p97)) % 16.54/16.78 (step @p100 :rule nary_cong :premises (@p99 @p94) :args (@t68)) % 16.54/16.78 (step @p101 :rule cong :premises (@p100) :args ((forall @t5 @t68))) % 16.54/16.78 (step @p102 :rule trans :premises (@p101 @p93)) % 16.54/16.78 (step @p103 :rule refl :args (@t15)) % 16.54/16.78 (step @p104 :rule eq-symm :args (@t12 @t3)) % 16.54/16.78 (step @p105 :rule refl :args (@t16)) % 16.54/16.78 (step @p106 :rule cong :premises (@p105 @p104) :args (@t17)) % 16.54/16.78 (step @p107 :rule nary_cong :premises (@p106 @p103) :args (@t18)) % 16.54/16.78 (step @p108 :rule cong :premises (@p107) :args (@t19)) % 16.54/16.78 (step @p109 :rule trans :premises (@p108 @p102)) % 16.54/16.78 (step @p110 :rule eq_resolve :premises (@p3 @p109)) % 16.54/16.78 (step @p111 :rule and_elim :premises (@p110) :args (0)) % 16.54/16.78 (step @p112 :rule eq-symm :args (@t44 @t51)) % 16.54/16.78 (step @p113 :rule refl :args (@t69)) % 16.54/16.78 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t70)) % 16.54/16.78 (step @p115 :rule refl :args (@t71)) % 16.54/16.78 (step @p116 :rule cong :premises (@p115 @p114) :args ((=> @t71 @t70))) % 16.54/16.78 (assume-push @p133 @t71) % 16.54/16.78 (step @p118 :rule instantiate :premises (@p111) :args ((@list @t35 @t42))) % 16.54/16.78 (step-pop @p134 :rule scope :premises (@p118)) % 16.54/16.78 (step @p119 :rule process_scope :premises (@p134) :args (@t70)) % 16.54/16.78 (step @p121 :rule eq_resolve :premises (@p119 @p116)) % 16.54/16.78 (step @p122 :rule implies_elim :premises (@p121)) % 16.54/16.78 (step @p123 :rule chain_m_resolution :premises (@p122 @p111) :args (@t72 @t41 (@list @t71))) % 16.54/16.78 (step @p124 :rule cnf_or_pos :args (@t72)) % 16.54/16.78 (step @p125 :rule reordering :premises (@p124) :args ((or @t69 @t57 (not @t72)))) % 16.54/16.78 (step @p126 false :rule chain_m_resolution :premises (@p125 @p123 @p88 @p18) :args (false (@list false true true) (@list @t72 @t57 @t69))) % 16.54/16.78 ) % 16.54/16.78 % SZS output end Proof % 16.54/16.78 % cvc5 exiting %------------------------------------------------------------------------------