%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU135+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 : 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 08:50:40 AM UTC 2026 % Result : Theorem 28.85s 29.10s % Output : Proof 28.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU135+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.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 16:31:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 28.85/29.10 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.85/29.10 --- Run --no-e-matching --full-saturate-quant at 6... % 28.85/29.10 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.85/29.10 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.85/29.10 % SZS status Theorem % 28.85/29.10 % SZS output start Proof % 28.85/29.10 ( % 28.85/29.10 (declare-sort $$unsorted 0) % 28.85/29.10 (declare-const tptp.empty (-> $$unsorted Bool)) % 28.85/29.10 (declare-const tptp.empty_set $$unsorted) % 28.85/29.10 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 28.85/29.10 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 28.85/29.10 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 28.85/29.10 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 28.85/29.10 (define @t1 () (@var "A" $$unsorted)) % 28.85/29.10 (define @t2 () (@var "B" $$unsorted)) % 28.85/29.10 (define @t3 () (tptp.in @t1 @t2)) % 28.85/29.10 (define @t4 () (@list @t1 @t2)) % 28.85/29.10 (define @t5 () (tptp.set_union2 @t2 @t1)) % 28.85/29.10 (define @t6 () (tptp.set_union2 @t1 @t2)) % 28.85/29.10 (define @t7 () (tptp.subset @t1 @t2)) % 28.85/29.10 (define @t8 () (= @t1 @t2)) % 28.85/29.10 (define @t9 () (@var "D" $$unsorted)) % 28.85/29.10 (define @t10 () (tptp.in @t9 @t2)) % 28.85/29.10 (define @t11 () (tptp.in @t9 @t1)) % 28.85/29.10 (define @t12 () (@var "C" $$unsorted)) % 28.85/29.10 (define @t13 () (tptp.in @t9 @t12)) % 28.85/29.10 (define @t14 () (@list @t9)) % 28.85/29.10 (define @t15 () (forall @t14 (= @t13 (or @t11 @t10)))) % 28.85/29.10 (define @t16 () (= (= @t12 @t6) @t15)) % 28.85/29.10 (define @t17 () (@list @t1 @t2 @t12)) % 28.85/29.10 (define @t18 () (forall @t17 @t16)) % 28.85/29.10 (define @t19 () (forall @t17 (= (= @t12 (tptp.set_difference @t1 @t2)) (forall @t14 (= @t13 (and @t11 (not @t10))))))) % 28.85/29.10 (define @t20 () (tptp.empty @t1)) % 28.85/29.10 (define @t21 () (not @t20)) % 28.85/29.10 (define @t22 () (@list @t1)) % 28.85/29.10 (define @t23 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 28.85/29.10 (define @t24 () (forall @t4 (= @t23 @t6))) % 28.85/29.10 (define @t25 () (not @t24)) % 28.85/29.10 (define @t26 () (tptp.empty @t2)) % 28.85/29.10 (define @t27 () (= @t6 @t12)) % 28.85/29.10 (define @t28 () (forall @t4 (= @t6 @t23))) % 28.85/29.10 (define @t29 () (@quantifiers_skolemize @t28 0)) % 28.85/29.10 (define @t30 () (@quantifiers_skolemize @t28 1)) % 28.85/29.10 (define @t31 () (tptp.set_difference @t30 @t29)) % 28.85/29.10 (define @t32 () (tptp.set_union2 @t29 @t31)) % 28.85/29.10 (define @t33 () (tptp.in @t9 @t32)) % 28.85/29.10 (define @t34 () (tptp.in @t9 @t29)) % 28.85/29.10 (define @t35 () (tptp.in @t9 @t31)) % 28.85/29.10 (define @t36 () (or @t35 @t34)) % 28.85/29.10 (define @t37 () (forall @t14 (= @t33 @t36))) % 28.85/29.10 (define @t38 () (tptp.set_union2 @t31 @t29)) % 28.85/29.10 (define @t39 () (= @t38 @t32)) % 28.85/29.10 (define @t40 () (forall @t17 (= @t15 @t27))) % 28.85/29.10 (define @t41 () (= @t37 @t39)) % 28.85/29.10 (define @t42 () (forall @t14 (= @t36 @t33))) % 28.85/29.10 (define @t43 () (= @t32 @t38)) % 28.85/29.10 (define @t44 () (= @t43 @t42)) % 28.85/29.10 (define @t45 () (@list false)) % 28.85/29.10 (define @t46 () (@list @t40)) % 28.85/29.10 (define @t47 () (tptp.in @t9 @t30)) % 28.85/29.10 (define @t48 () (or @t47 @t34)) % 28.85/29.10 (define @t49 () (forall @t14 (= @t48 @t33))) % 28.85/29.10 (define @t50 () (@quantifiers_skolemize @t49 0)) % 28.85/29.10 (define @t51 () (tptp.in @t50 @t29)) % 28.85/29.10 (define @t52 () (tptp.in @t50 @t31)) % 28.85/29.10 (define @t53 () (or @t52 @t51)) % 28.85/29.10 (define @t54 () (tptp.in @t50 @t32)) % 28.85/29.10 (define @t55 () (= @t53 @t54)) % 28.85/29.10 (define @t56 () (@list @t50)) % 28.85/29.10 (define @t57 () (= @t54 @t53)) % 28.85/29.10 (define @t58 () (forall @t14 (= @t35 (and @t47 (not @t34))))) % 28.85/29.10 (define @t59 () (= (= @t31 @t31) @t58)) % 28.85/29.10 (define @t60 () (tptp.in @t50 @t30)) % 28.85/29.10 (define @t61 () (or @t60 @t51)) % 28.85/29.10 (define @t62 () (or @t34 @t47)) % 28.85/29.10 (define @t63 () (forall @t14 (= @t33 @t62))) % 28.85/29.10 (define @t64 () (= (tptp.set_union2 @t29 @t30) @t32)) % 28.85/29.10 (define @t65 () (= @t63 @t64)) % 28.85/29.10 (define @t66 () (= @t62 @t33)) % 28.85/29.10 (define @t67 () (forall @t14 @t66)) % 28.85/29.10 (define @t68 () (= @t64 @t67)) % 28.85/29.10 (define @t69 () (not @t67)) % 28.85/29.10 (define @t70 () (@list true false)) % 28.85/29.10 (define @t71 () (not @t49)) % 28.85/29.10 (define @t72 () (@list true)) % 28.85/29.10 (define @t73 () (= @t61 @t54)) % 28.85/29.10 (define @t74 () (not @t57)) % 28.85/29.10 (define @t75 () (not @t53)) % 28.85/29.10 (define @t76 () (not @t51)) % 28.85/29.10 (define @t77 () (and @t60 @t76)) % 28.85/29.10 (define @t78 () (= @t52 @t77)) % 28.85/29.10 (define @t79 () (not @t78)) % 28.85/29.10 (define @t80 () (not @t77)) % 28.85/29.10 (define @t81 () (not @t60)) % 28.85/29.10 (define @t82 () (not @t52)) % 28.85/29.10 (define @t83 () (@list true true)) % 28.85/29.10 (define @t84 () (not @t61)) % 28.85/29.10 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 28.85/29.10 (assume @p2 (forall @t4 (= @t6 @t5))) % 28.85/29.10 (assume @p3 (forall @t4 (= @t8 (and @t7 (tptp.subset @t2 @t1))))) % 28.85/29.10 (assume @p4 @t18) % 28.85/29.10 (assume @p5 (forall @t4 (= @t7 (forall (@list @t12) (=> (tptp.in @t12 @t1) (tptp.in @t12 @t2)))))) % 28.85/29.10 (assume @p6 @t19) % 28.85/29.10 (assume @p7 true) % 28.85/29.10 (assume @p8 (tptp.empty tptp.empty_set)) % 28.85/29.10 (assume @p9 (forall @t4 (=> @t21 (not (tptp.empty @t6))))) % 28.85/29.10 (assume @p10 (forall @t4 (=> @t21 (not (tptp.empty @t5))))) % 28.85/29.10 (assume @p11 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 28.85/29.10 (assume @p12 (exists @t22 @t20)) % 28.85/29.10 (assume @p13 (exists @t22 @t21)) % 28.85/29.10 (assume @p14 (forall @t4 (tptp.subset @t1 @t1))) % 28.85/29.10 (assume @p15 (forall @t22 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 28.85/29.10 (assume @p16 @t25) % 28.85/29.10 (assume @p17 (forall @t22 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 28.85/29.10 (assume @p18 (forall @t22 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 28.85/29.10 (assume @p19 (forall @t22 (=> @t20 (= @t1 tptp.empty_set)))) % 28.85/29.10 (assume @p20 (forall @t4 (not (and @t3 @t26)))) % 28.85/29.10 (assume @p21 (forall @t4 (not (and @t20 (not @t8) @t26)))) % 28.85/29.10 (step @p22 :rule eq-symm :args (@t27 @t15)) % 28.85/29.10 (step @p23 :rule refl :args (@t15)) % 28.85/29.10 (step @p24 :rule eq-symm :args (@t12 @t6)) % 28.85/29.10 (step @p25 :rule cong :premises (@p24 @p23) :args (@t16)) % 28.85/29.10 (step @p26 :rule trans :premises (@p25 @p22)) % 28.85/29.10 (step @p27 :rule cong :premises (@p26) :args (@t18)) % 28.85/29.10 (step @p28 :rule eq_resolve :premises (@p4 @p27)) % 28.85/29.10 (step @p29 :rule eq-symm :args (@t33 @t36)) % 28.85/29.10 (step @p30 :rule cong :premises (@p29) :args (@t37)) % 28.85/29.10 (step @p31 :rule eq-symm :args (@t38 @t32)) % 28.85/29.10 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t39 @t37))) % 28.85/29.10 (step @p33 :rule eq-symm :args (@t37 @t39)) % 28.85/29.10 (step @p34 :rule trans :premises (@p33 @p32)) % 28.85/29.10 (step @p35 :rule refl :args (@t40)) % 28.85/29.10 (step @p36 :rule cong :premises (@p35 @p34) :args ((=> @t40 @t41))) % 28.85/29.10 (assume-push @p146 @t40) % 28.85/29.10 (step @p38 :rule instantiate :premises (@p28) :args ((@list @t31 @t29 @t32))) % 28.85/29.10 (step-pop @p147 :rule scope :premises (@p38)) % 28.85/29.10 (step @p39 :rule process_scope :premises (@p147) :args (@t41)) % 28.85/29.10 (step @p41 :rule eq_resolve :premises (@p39 @p36)) % 28.85/29.10 (step @p42 :rule implies_elim :premises (@p41)) % 28.85/29.10 (step @p43 :rule chain_m_resolution :premises (@p42 @p28) :args (@t44 @t45 @t46)) % 28.85/29.10 (step @p44 :rule instantiate :premises (@p2) :args ((@list @t29 @t31))) % 28.85/29.10 (step @p45 :rule cnf_equiv_pos1 :args (@t44)) % 28.85/29.10 (step @p46 :rule reordering :premises (@p45) :args ((or (not @t43) @t42 (not @t44)))) % 28.85/29.10 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p43) :args (@t42 (@list false false) (@list @t43 @t44))) % 28.85/29.10 (step @p48 :rule eq-symm :args (@t53 @t54)) % 28.85/29.10 (step @p49 :rule refl :args (@t42)) % 28.85/29.10 (step @p50 :rule cong :premises (@p49 @p48) :args ((=> @t42 @t55))) % 28.85/29.10 (assume-push @p148 @t42) % 28.85/29.10 (step @p52 :rule instantiate :premises (@p47) :args (@t56)) % 28.85/29.10 (step-pop @p149 :rule scope :premises (@p52)) % 28.85/29.10 (step @p53 :rule process_scope :premises (@p149) :args (@t55)) % 28.85/29.10 (step @p55 :rule eq_resolve :premises (@p53 @p50)) % 28.85/29.10 (step @p56 :rule implies_elim :premises (@p55)) % 28.85/29.10 (step @p57 :rule chain_m_resolution :premises (@p56 @p47) :args (@t57 @t45 (@list @t42))) % 28.85/29.10 (step @p58 :rule bool-eq-true :args (@t58)) % 28.85/29.10 (step @p59 :rule eq-symm :args (true @t58)) % 28.85/29.10 (step @p60 :rule trans :premises (@p59 @p58)) % 28.85/29.10 (step @p61 :rule refl :args (@t58)) % 28.85/29.10 (step @p62 :rule eq-refl :args (@t31)) % 28.85/29.10 (step @p63 :rule cong :premises (@p62 @p61) :args (@t59)) % 28.85/29.10 (step @p64 :rule trans :premises (@p63 @p60)) % 28.85/29.10 (step @p65 :rule refl :args (@t19)) % 28.85/29.10 (step @p66 :rule cong :premises (@p65 @p64) :args ((=> @t19 @t59))) % 28.85/29.10 (assume-push @p150 @t19) % 28.85/29.10 (step @p68 :rule instantiate :premises (@p6) :args ((@list @t30 @t29 @t31))) % 28.85/29.10 (step-pop @p151 :rule scope :premises (@p68)) % 28.85/29.10 (step @p69 :rule process_scope :premises (@p151) :args (@t59)) % 28.85/29.10 (step @p71 :rule eq_resolve :premises (@p69 @p66)) % 28.85/29.10 (step @p72 :rule implies_elim :premises (@p71)) % 28.85/29.10 (step @p73 :rule chain_m_resolution :premises (@p72 @p6) :args (@t58 @t45 (@list @t19))) % 28.85/29.10 (step @p74 :rule instantiate :premises (@p73) :args (@t56)) % 28.85/29.10 (step @p75 :rule cnf_or_neg :args (@t61 0)) % 28.85/29.10 (step @p76 :rule eq-symm :args (@t33 @t62)) % 28.85/29.10 (step @p77 :rule cong :premises (@p76) :args (@t63)) % 28.85/29.10 (step @p78 :rule refl :args (@t64)) % 28.85/29.10 (step @p79 :rule cong :premises (@p78 @p77) :args ((= @t64 @t63))) % 28.85/29.10 (step @p80 :rule eq-symm :args (@t63 @t64)) % 28.85/29.10 (step @p81 :rule trans :premises (@p80 @p79)) % 28.85/29.10 (step @p82 :rule cong :premises (@p35 @p81) :args ((=> @t40 @t65))) % 28.85/29.10 (assume-push @p152 @t40) % 28.85/29.10 (step @p84 :rule instantiate :premises (@p28) :args ((@list @t29 @t30 @t32))) % 28.85/29.10 (step-pop @p153 :rule scope :premises (@p84)) % 28.85/29.10 (step @p85 :rule process_scope :premises (@p153) :args (@t65)) % 28.85/29.10 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 28.85/29.10 (step @p88 :rule implies_elim :premises (@p87)) % 28.85/29.10 (step @p89 :rule chain_m_resolution :premises (@p88 @p28) :args (@t68 @t45 @t46)) % 28.85/29.10 (step @p90 :rule eq-symm :args (@t23 @t6)) % 28.85/29.10 (step @p91 :rule cong :premises (@p90) :args (@t24)) % 28.85/29.10 (step @p92 :rule cong :premises (@p91) :args (@t25)) % 28.85/29.10 (step @p93 :rule eq_resolve :premises (@p16 @p92)) % 28.85/29.10 (step @p94 :rule skolemize :premises (@p93)) % 28.85/29.10 (step @p95 :rule cnf_equiv_pos2 :args (@t68)) % 28.85/29.10 (step @p96 :rule reordering :premises (@p95) :args ((or @t64 @t69 (not @t68)))) % 28.85/29.10 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p89) :args (@t69 @t70 (@list @t64 @t68))) % 28.85/29.10 (step @p98 :rule refl :args (@t33)) % 28.85/29.10 (step @p99 :rule aci_norm :args ((= @t62 @t48))) % 28.85/29.10 (step @p100 :rule cong :premises (@p99 @p98) :args (@t66)) % 28.85/29.10 (step @p101 :rule cong :premises (@p100) :args (@t67)) % 28.85/29.10 (step @p102 :rule true_intro :premises (@p101)) % 28.85/29.10 (step @p103 :rule eq-symm :args (@t49 @t67)) % 28.85/29.10 (step @p104 :rule trans :premises (@p103 @p102)) % 28.85/29.10 (step @p105 :rule true_elim :premises (@p104)) % 28.85/29.10 (step @p106 :rule equiv_elim1 :premises (@p105)) % 28.85/29.10 (step @p107 :rule reordering :premises (@p106) :args ((or @t67 @t71))) % 28.85/29.10 (step @p108 :rule chain_m_resolution :premises (@p107 @p97) :args (@t71 @t72 (@list @t67))) % 28.85/29.10 (step @p109 :rule skolemize :premises (@p108)) % 28.85/29.10 (step @p110 :rule cnf_equiv_neg2 :args (@t73)) % 28.85/29.10 (step @p111 :rule cnf_equiv_pos2 :args (@t57)) % 28.85/29.10 (step @p112 :rule reordering :premises (@p111) :args ((or @t54 @t75 @t74))) % 28.85/29.10 (step @p113 :rule cnf_or_neg :args (@t53 0)) % 28.85/29.10 (step @p114 :rule cnf_or_neg :args (@t53 1)) % 28.85/29.10 (step @p115 :rule reordering :premises (@p114) :args ((or @t76 @t53))) % 28.85/29.10 (step @p116 :rule cnf_equiv_pos2 :args (@t78)) % 28.85/29.10 (step @p117 :rule reordering :premises (@p116) :args ((or @t52 @t80 @t79))) % 28.85/29.10 (step @p118 :rule bool-double-not-elim :args (@t51)) % 28.85/29.10 (step @p119 :rule refl :args (@t81)) % 28.85/29.10 (step @p120 :rule refl :args (@t77)) % 28.85/29.10 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118) :args ((or @t77 @t81 (not @t76)))) % 28.85/29.10 (step @p122 :rule cnf_and_neg :args (@t77)) % 28.85/29.10 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 28.85/29.10 (step @p124 :rule reordering :premises (@p123) :args ((or @t51 @t81 @t77))) % 28.85/29.10 (step @p125 :rule chain_m_resolution :premises (@p124 @p117 @p74 @p115 @p113 @p112 @p57 @p110 @p109 @p75) :args (@t81 (@list true false true true true false true true false) (@list @t77 @t78 @t51 @t52 @t53 @t57 @t54 @t73 @t61))) % 28.85/29.10 (step @p126 :rule cnf_and_pos :args (@t77 0)) % 28.85/29.10 (step @p127 :rule reordering :premises (@p126) :args ((or @t60 @t80))) % 28.85/29.10 (step @p128 :rule chain_m_resolution :premises (@p127 @p125) :args (@t80 @t72 (@list @t60))) % 28.85/29.10 (step @p129 :rule cnf_equiv_pos1 :args (@t78)) % 28.85/29.10 (step @p130 :rule reordering :premises (@p129) :args ((or @t82 @t77 @t79))) % 28.85/29.10 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p74) :args (@t82 @t70 (@list @t77 @t78))) % 28.85/29.10 (step @p132 :rule cnf_or_neg :args (@t61 1)) % 28.85/29.10 (step @p133 :rule chain_m_resolution :premises (@p112 @p57 @p110 @p109 @p115 @p132) :args (@t76 (@list false true true false false) (@list @t57 @t54 @t73 @t53 @t61))) % 28.85/29.10 (step @p134 :rule cnf_or_pos :args (@t53)) % 28.85/29.10 (step @p135 :rule reordering :premises (@p134) :args ((or @t51 @t52 @t75))) % 28.85/29.10 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p131) :args (@t75 @t83 (@list @t51 @t52))) % 28.85/29.10 (step @p137 :rule cnf_or_pos :args (@t61)) % 28.85/29.10 (step @p138 :rule reordering :premises (@p137) :args ((or @t60 @t51 @t84))) % 28.85/29.10 (step @p139 :rule chain_m_resolution :premises (@p138 @p125 @p133) :args (@t84 @t83 (@list @t60 @t51))) % 28.85/29.10 (step @p140 :rule cnf_equiv_neg1 :args (@t73)) % 28.85/29.10 (step @p141 :rule reordering :premises (@p140) :args ((or @t61 @t54 @t73))) % 28.85/29.10 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p109) :args (@t54 @t83 (@list @t61 @t73))) % 28.85/29.10 (step @p143 :rule cnf_equiv_pos1 :args (@t57)) % 28.85/29.10 (step @p144 :rule reordering :premises (@p143) :args ((or (not @t54) @t53 @t74))) % 28.85/29.10 (step @p145 false :rule chain_m_resolution :premises (@p144 @p142 @p136 @p57) :args (false (@list false true false) (@list @t54 @t53 @t57))) % 28.85/29.10 ) % 28.85/29.10 % SZS output end Proof % 28.85/29.10 % cvc5 exiting %------------------------------------------------------------------------------