%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU129+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 : n028.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 08:50:38 AM UTC 2026 % Result : Theorem 33.63s 33.84s % Output : Proof 33.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SEU129+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n028.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 16:31:05 EDT 2026 % 0.16/0.33 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 33.63/33.84 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.63/33.84 --- Run --no-e-matching --full-saturate-quant at 6... % 33.63/33.84 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.63/33.84 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.63/33.84 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.63/33.84 % SZS status Theorem % 33.63/33.84 % SZS output start Proof % 33.63/33.84 ( % 33.63/33.84 (declare-sort $$unsorted 0) % 33.63/33.84 (declare-const tptp.empty (-> $$unsorted Bool)) % 33.63/33.84 (declare-const tptp.empty_set $$unsorted) % 33.63/33.84 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 33.63/33.84 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 33.63/33.84 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 33.63/33.84 (define @t1 () (@var "A" $$unsorted)) % 33.63/33.84 (define @t2 () (@var "B" $$unsorted)) % 33.63/33.84 (define @t3 () (tptp.in @t1 @t2)) % 33.63/33.84 (define @t4 () (@list @t1 @t2)) % 33.63/33.84 (define @t5 () (tptp.set_intersection2 @t1 @t2)) % 33.63/33.84 (define @t6 () (@var "C" $$unsorted)) % 33.63/33.84 (define @t7 () (tptp.in @t6 @t2)) % 33.63/33.84 (define @t8 () (tptp.in @t6 @t1)) % 33.63/33.84 (define @t9 () (@list @t6)) % 33.63/33.84 (define @t10 () (forall @t9 (=> @t8 @t7))) % 33.63/33.84 (define @t11 () (tptp.subset @t1 @t2)) % 33.63/33.84 (define @t12 () (= @t11 @t10)) % 33.63/33.84 (define @t13 () (forall @t4 @t12)) % 33.63/33.84 (define @t14 () (@var "D" $$unsorted)) % 33.63/33.84 (define @t15 () (@list @t14)) % 33.63/33.84 (define @t16 () (forall @t15 (= (tptp.in @t14 @t6) (and (tptp.in @t14 @t1) (tptp.in @t14 @t2))))) % 33.63/33.84 (define @t17 () (= (= @t6 @t5) @t16)) % 33.63/33.84 (define @t18 () (@list @t1 @t2 @t6)) % 33.63/33.84 (define @t19 () (forall @t18 @t17)) % 33.63/33.84 (define @t20 () (tptp.empty @t1)) % 33.63/33.84 (define @t21 () (@list @t1)) % 33.63/33.84 (define @t22 () (tptp.subset (tptp.set_intersection2 @t1 @t6) (tptp.set_intersection2 @t2 @t6))) % 33.63/33.84 (define @t23 () (forall @t18 (=> @t11 @t22))) % 33.63/33.84 (define @t24 () (not @t23)) % 33.63/33.84 (define @t25 () (tptp.empty @t2)) % 33.63/33.84 (define @t26 () (forall @t18 (or (not @t11) @t22))) % 33.63/33.84 (define @t27 () (@quantifiers_skolemize @t26 1)) % 33.63/33.84 (define @t28 () (@quantifiers_skolemize @t26 0)) % 33.63/33.84 (define @t29 () (tptp.subset @t28 @t27)) % 33.63/33.84 (define @t30 () (@quantifiers_skolemize @t26 2)) % 33.63/33.84 (define @t31 () (tptp.set_intersection2 @t27 @t30)) % 33.63/33.84 (define @t32 () (tptp.set_intersection2 @t28 @t30)) % 33.63/33.84 (define @t33 () (tptp.subset @t32 @t31)) % 33.63/33.84 (define @t34 () (not @t29)) % 33.63/33.84 (define @t35 () (or @t34 @t33)) % 33.63/33.84 (define @t36 () (@list true)) % 33.63/33.84 (define @t37 () (@list @t35)) % 33.63/33.84 (define @t38 () (forall @t9 (or (not (tptp.in @t6 @t28)) (tptp.in @t6 @t27)))) % 33.63/33.84 (define @t39 () (= @t29 @t38)) % 33.63/33.84 (define @t40 () (@list false false)) % 33.63/33.84 (define @t41 () (= @t5 @t6)) % 33.63/33.84 (define @t42 () (tptp.in @t14 @t30)) % 33.63/33.84 (define @t43 () (forall @t15 (= (tptp.in @t14 @t32) (and (tptp.in @t14 @t28) @t42)))) % 33.63/33.84 (define @t44 () (= @t43 (= @t32 @t32))) % 33.63/33.84 (define @t45 () (forall @t18 (= @t16 @t41))) % 33.63/33.84 (define @t46 () (@list false)) % 33.63/33.84 (define @t47 () (@list @t45)) % 33.63/33.84 (define @t48 () (forall @t9 (or (not (tptp.in @t6 @t32)) (tptp.in @t6 @t31)))) % 33.63/33.84 (define @t49 () (@quantifiers_skolemize @t48 0)) % 33.63/33.84 (define @t50 () (@list @t49)) % 33.63/33.84 (define @t51 () (= @t33 @t48)) % 33.63/33.84 (define @t52 () (not @t48)) % 33.63/33.84 (define @t53 () (@list true false)) % 33.63/33.84 (define @t54 () (tptp.in @t49 @t32)) % 33.63/33.84 (define @t55 () (tptp.in @t49 @t31)) % 33.63/33.84 (define @t56 () (not @t54)) % 33.63/33.84 (define @t57 () (or @t56 @t55)) % 33.63/33.85 (define @t58 () (@list @t57)) % 33.63/33.85 (define @t59 () (tptp.in @t49 @t30)) % 33.63/33.85 (define @t60 () (tptp.in @t49 @t28)) % 33.63/33.85 (define @t61 () (and @t60 @t59)) % 33.63/33.85 (define @t62 () (= @t54 @t61)) % 33.63/33.85 (define @t63 () (not @t61)) % 33.63/33.85 (define @t64 () (@list @t61)) % 33.63/33.85 (define @t65 () (forall @t15 (= (tptp.in @t14 @t31) (and (tptp.in @t14 @t27) @t42)))) % 33.63/33.85 (define @t66 () (= @t65 (= @t31 @t31))) % 33.63/33.85 (define @t67 () (tptp.in @t49 @t27)) % 33.63/33.85 (define @t68 () (and @t67 @t59)) % 33.63/33.85 (define @t69 () (= @t55 @t68)) % 33.63/33.85 (define @t70 () (not @t68)) % 33.63/33.85 (define @t71 () (not @t67)) % 33.63/33.85 (define @t72 () (not @t60)) % 33.63/33.85 (define @t73 () (or @t72 @t67)) % 33.63/33.85 (define @t74 () (not @t73)) % 33.63/33.85 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 33.63/33.85 (assume @p2 (forall @t4 (= @t5 (tptp.set_intersection2 @t2 @t1)))) % 33.63/33.85 (assume @p3 @t13) % 33.63/33.85 (assume @p4 @t19) % 33.63/33.85 (assume @p5 true) % 33.63/33.85 (assume @p6 (tptp.empty tptp.empty_set)) % 33.63/33.85 (assume @p7 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 33.63/33.85 (assume @p8 (exists @t21 @t20)) % 33.63/33.85 (assume @p9 (exists @t21 (not @t20))) % 33.63/33.85 (assume @p10 (forall @t4 (tptp.subset @t1 @t1))) % 33.63/33.85 (assume @p11 @t24) % 33.63/33.85 (assume @p12 (forall @t21 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 33.63/33.85 (assume @p13 (forall @t21 (=> @t20 (= @t1 tptp.empty_set)))) % 33.63/33.85 (assume @p14 (forall @t4 (not (and @t3 @t25)))) % 33.63/33.85 (assume @p15 (forall @t4 (not (and @t20 (not (= @t1 @t2)) @t25)))) % 33.63/33.85 (step @p16 :rule bool-impl-elim :args (@t8 @t7)) % 33.63/33.85 (step @p17 :rule cong :premises (@p16) :args (@t10)) % 33.63/33.85 (step @p18 :rule refl :args (@t11)) % 33.63/33.85 (step @p19 :rule cong :premises (@p18 @p17) :args (@t12)) % 33.63/33.85 (step @p20 :rule cong :premises (@p19) :args (@t13)) % 33.63/33.85 (step @p21 :rule eq_resolve :premises (@p3 @p20)) % 33.63/33.85 (step @p22 :rule instantiate :premises (@p21) :args ((@list @t28 @t27))) % 33.63/33.85 (step @p23 :rule bool-impl-elim :args (@t11 @t22)) % 33.63/33.85 (step @p24 :rule cong :premises (@p23) :args (@t23)) % 33.63/33.85 (step @p25 :rule cong :premises (@p24) :args (@t24)) % 33.63/33.85 (step @p26 :rule eq_resolve :premises (@p11 @p25)) % 33.63/33.85 (step @p27 :rule skolemize :premises (@p26)) % 33.63/33.85 (step @p28 :rule bool-double-not-elim :args (@t29)) % 33.63/33.85 (step @p29 :rule refl :args (@t35)) % 33.63/33.85 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t35 (not @t34)))) % 33.63/33.85 (step @p31 :rule cnf_or_neg :args (@t35 0)) % 33.63/33.85 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 33.63/33.85 (step @p33 :rule reordering :premises (@p32) :args ((or @t29 @t35))) % 33.63/33.85 (step @p34 :rule chain_m_resolution :premises (@p33 @p27) :args (@t29 @t36 @t37)) % 33.63/33.85 (step @p35 :rule cnf_equiv_pos1 :args (@t39)) % 33.63/33.85 (step @p36 :rule reordering :premises (@p35) :args ((or @t34 @t38 (not @t39)))) % 33.63/33.85 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p22) :args (@t38 @t40 (@list @t29 @t39))) % 33.63/33.85 (step @p38 :rule eq-symm :args (@t41 @t16)) % 33.63/33.85 (step @p39 :rule refl :args (@t16)) % 33.63/33.85 (step @p40 :rule eq-symm :args (@t6 @t5)) % 33.63/33.85 (step @p41 :rule cong :premises (@p40 @p39) :args (@t17)) % 33.63/33.85 (step @p42 :rule trans :premises (@p41 @p38)) % 33.63/33.85 (step @p43 :rule cong :premises (@p42) :args (@t19)) % 33.63/33.85 (step @p44 :rule eq_resolve :premises (@p4 @p43)) % 33.63/33.85 (step @p45 :rule bool-eq-true :args (@t43)) % 33.63/33.85 (step @p46 :rule eq-refl :args (@t32)) % 33.63/33.85 (step @p47 :rule refl :args (@t43)) % 33.63/33.85 (step @p48 :rule cong :premises (@p47 @p46) :args (@t44)) % 33.63/33.85 (step @p49 :rule trans :premises (@p48 @p45)) % 33.63/33.85 (step @p50 :rule refl :args (@t45)) % 33.63/33.85 (step @p51 :rule cong :premises (@p50 @p49) :args ((=> @t45 @t44))) % 33.63/33.85 (assume-push @p114 @t45) % 33.63/33.85 (step @p53 :rule instantiate :premises (@p44) :args ((@list @t28 @t30 @t32))) % 33.63/33.85 (step-pop @p115 :rule scope :premises (@p53)) % 33.63/33.85 (step @p54 :rule process_scope :premises (@p115) :args (@t44)) % 33.63/33.85 (step @p56 :rule eq_resolve :premises (@p54 @p51)) % 33.63/33.85 (step @p57 :rule implies_elim :premises (@p56)) % 33.63/33.85 (step @p58 :rule chain_m_resolution :premises (@p57 @p44) :args (@t43 @t46 @t47)) % 33.63/33.85 (step @p59 :rule instantiate :premises (@p58) :args (@t50)) % 33.63/33.85 (step @p60 :rule instantiate :premises (@p21) :args ((@list @t32 @t31))) % 33.63/33.85 (step @p61 :rule cnf_or_neg :args (@t35 1)) % 33.63/33.85 (step @p62 :rule chain_m_resolution :premises (@p61 @p27) :args ((not @t33) @t36 @t37)) % 33.63/33.85 (step @p63 :rule cnf_equiv_pos2 :args (@t51)) % 33.63/33.85 (step @p64 :rule reordering :premises (@p63) :args ((or @t33 @t52 (not @t51)))) % 33.63/33.85 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p60) :args (@t52 @t53 (@list @t33 @t51))) % 33.63/33.85 (step @p66 :rule skolemize :premises (@p65)) % 33.63/33.85 (step @p67 :rule bool-double-not-elim :args (@t54)) % 33.63/33.85 (step @p68 :rule refl :args (@t57)) % 33.63/33.85 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t57 (not @t56)))) % 33.63/33.85 (step @p70 :rule cnf_or_neg :args (@t57 0)) % 33.63/33.85 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 33.63/33.85 (step @p72 :rule reordering :premises (@p71) :args ((or @t54 @t57))) % 33.63/33.85 (step @p73 :rule chain_m_resolution :premises (@p72 @p66) :args (@t54 @t36 @t58)) % 33.63/33.85 (step @p74 :rule cnf_equiv_pos1 :args (@t62)) % 33.63/33.85 (step @p75 :rule reordering :premises (@p74) :args ((or @t56 @t61 (not @t62)))) % 33.63/33.85 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p59) :args (@t61 @t40 (@list @t54 @t62))) % 33.63/33.85 (step @p77 :rule cnf_and_pos :args (@t61 0)) % 33.63/33.85 (step @p78 :rule reordering :premises (@p77) :args ((or @t60 @t63))) % 33.63/33.85 (step @p79 :rule chain_m_resolution :premises (@p78 @p76) :args (@t60 @t46 @t64)) % 33.63/33.85 (step @p80 :rule cnf_and_pos :args (@t61 1)) % 33.63/33.85 (step @p81 :rule reordering :premises (@p80) :args ((or @t59 @t63))) % 33.63/33.85 (step @p82 :rule chain_m_resolution :premises (@p81 @p76) :args (@t59 @t46 @t64)) % 33.63/33.85 (step @p83 :rule bool-eq-true :args (@t65)) % 33.63/33.85 (step @p84 :rule eq-refl :args (@t31)) % 33.63/33.85 (step @p85 :rule refl :args (@t65)) % 33.63/33.85 (step @p86 :rule cong :premises (@p85 @p84) :args (@t66)) % 33.63/33.85 (step @p87 :rule trans :premises (@p86 @p83)) % 33.63/33.85 (step @p88 :rule cong :premises (@p50 @p87) :args ((=> @t45 @t66))) % 33.63/33.85 (assume-push @p116 @t45) % 33.63/33.85 (step @p90 :rule instantiate :premises (@p44) :args ((@list @t27 @t30 @t31))) % 33.63/33.85 (step-pop @p117 :rule scope :premises (@p90)) % 33.63/33.85 (step @p91 :rule process_scope :premises (@p117) :args (@t66)) % 33.63/33.85 (step @p93 :rule eq_resolve :premises (@p91 @p88)) % 33.63/33.85 (step @p94 :rule implies_elim :premises (@p93)) % 33.63/33.85 (step @p95 :rule chain_m_resolution :premises (@p94 @p44) :args (@t65 @t46 @t47)) % 33.63/33.85 (step @p96 :rule instantiate :premises (@p95) :args (@t50)) % 33.63/33.85 (step @p97 :rule cnf_or_neg :args (@t57 1)) % 33.63/33.85 (step @p98 :rule chain_m_resolution :premises (@p97 @p66) :args ((not @t55) @t36 @t58)) % 33.63/33.85 (step @p99 :rule cnf_equiv_pos2 :args (@t69)) % 33.63/33.85 (step @p100 :rule reordering :premises (@p99) :args ((or @t55 @t70 (not @t69)))) % 33.63/33.85 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p96) :args (@t70 @t53 (@list @t55 @t69))) % 33.63/33.85 (step @p102 :rule cnf_and_neg :args (@t68)) % 33.63/33.85 (step @p103 :rule reordering :premises (@p102) :args ((or @t68 (not @t59) @t71))) % 33.63/33.85 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p82) :args (@t71 @t53 (@list @t68 @t59))) % 33.63/33.85 (step @p105 :rule cnf_or_pos :args (@t73)) % 33.63/33.85 (step @p106 :rule reordering :premises (@p105) :args ((or @t67 @t72 @t74))) % 33.63/33.85 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p79) :args (@t74 @t53 (@list @t67 @t60))) % 33.63/33.85 (assume-push @p118 @t38) % 33.63/33.85 (step @p109 :rule instantiate :premises (@p37) :args (@t50)) % 33.63/33.85 (step-pop @p119 :rule scope :premises (@p109)) % 33.63/33.85 (step @p110 :rule process_scope :premises (@p119) :args (@t73)) % 33.63/33.85 (step @p112 :rule implies_elim :premises (@p110)) % 33.63/33.85 (step @p113 false :rule chain_m_resolution :premises (@p112 @p107 @p37) :args (false @t53 (@list @t73 @t38))) % 33.63/33.85 ) % 33.63/33.85 % SZS output end Proof % 33.63/33.85 % cvc5 exiting %------------------------------------------------------------------------------