%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU138+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 : n003.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 205.25s 205.53s % Output : Proof 205.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU138+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 % 0.16/0.34 % Computer : n003.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:31:29 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 205.25/205.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 205.25/205.53 --- Run --no-e-matching --full-saturate-quant at 6... % 205.25/205.53 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 205.25/205.53 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 205.25/205.53 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 205.25/205.53 --- Run --trigger-sel=max --full-saturate-quant at 15... % 205.25/205.53 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 205.25/205.53 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 205.25/205.53 --- Run --prenex-quant=none --full-saturate-quant at 30... % 205.25/205.53 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 205.25/205.53 --- Run --relevant-triggers --full-saturate-quant at 30... % 205.25/205.53 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 205.25/205.53 % SZS status Theorem % 205.25/205.53 % SZS output start Proof % 205.25/205.53 ( % 205.25/205.53 (declare-sort $$unsorted 0) % 205.25/205.53 (declare-const tptp.empty (-> $$unsorted Bool)) % 205.25/205.53 (declare-const tptp.empty_set $$unsorted) % 205.25/205.53 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 205.25/205.53 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 205.25/205.53 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 205.25/205.53 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 205.25/205.53 (define @t1 () (@var "A" $$unsorted)) % 205.25/205.53 (define @t2 () (@var "B" $$unsorted)) % 205.25/205.53 (define @t3 () (tptp.in @t1 @t2)) % 205.25/205.53 (define @t4 () (@list @t1 @t2)) % 205.25/205.53 (define @t5 () (tptp.set_intersection2 @t1 @t2)) % 205.25/205.53 (define @t6 () (tptp.subset @t1 @t2)) % 205.25/205.53 (define @t7 () (= @t1 @t2)) % 205.25/205.53 (define @t8 () (@var "C" $$unsorted)) % 205.25/205.53 (define @t9 () (@var "D" $$unsorted)) % 205.25/205.53 (define @t10 () (tptp.in @t9 @t2)) % 205.25/205.53 (define @t11 () (tptp.in @t9 @t1)) % 205.25/205.53 (define @t12 () (tptp.in @t9 @t8)) % 205.25/205.53 (define @t13 () (@list @t9)) % 205.25/205.53 (define @t14 () (forall @t13 (= @t12 (and @t11 @t10)))) % 205.25/205.53 (define @t15 () (= (= @t8 @t5) @t14)) % 205.25/205.53 (define @t16 () (@list @t1 @t2 @t8)) % 205.25/205.53 (define @t17 () (forall @t16 @t15)) % 205.25/205.53 (define @t18 () (tptp.set_difference @t1 @t2)) % 205.25/205.53 (define @t19 () (forall @t16 (= (= @t8 @t18) (forall @t13 (= @t12 (and @t11 (not @t10))))))) % 205.25/205.53 (define @t20 () (tptp.empty @t1)) % 205.25/205.53 (define @t21 () (@list @t1)) % 205.25/205.53 (define @t22 () (tptp.set_difference @t1 @t18)) % 205.25/205.53 (define @t23 () (forall @t4 (= @t22 @t5))) % 205.25/205.53 (define @t24 () (not @t23)) % 205.25/205.53 (define @t25 () (tptp.empty @t2)) % 205.25/205.53 (define @t26 () (forall @t4 (= @t5 @t22))) % 205.25/205.53 (define @t27 () (@quantifiers_skolemize @t26 1)) % 205.25/205.53 (define @t28 () (@quantifiers_skolemize @t26 0)) % 205.25/205.53 (define @t29 () (tptp.set_difference @t28 @t27)) % 205.25/205.53 (define @t30 () (tptp.in @t9 @t29)) % 205.25/205.53 (define @t31 () (tptp.in @t9 @t27)) % 205.25/205.53 (define @t32 () (tptp.in @t9 @t28)) % 205.25/205.53 (define @t33 () (and @t32 (not @t31))) % 205.25/205.53 (define @t34 () (forall @t13 (= @t33 @t30))) % 205.25/205.53 (define @t35 () (forall @t13 (= @t30 @t33))) % 205.25/205.53 (define @t36 () (= (= @t29 @t29) @t35)) % 205.25/205.53 (define @t37 () (@list false)) % 205.25/205.53 (define @t38 () (@list @t19)) % 205.25/205.53 (define @t39 () (tptp.set_intersection2 @t28 @t27)) % 205.25/205.53 (define @t40 () (tptp.in @t9 @t39)) % 205.25/205.53 (define @t41 () (and @t32 (not @t30))) % 205.25/205.53 (define @t42 () (forall @t13 (= @t41 @t40))) % 205.25/205.53 (define @t43 () (@quantifiers_skolemize @t42 0)) % 205.25/205.53 (define @t44 () (tptp.in @t43 @t27)) % 205.25/205.53 (define @t45 () (not @t44)) % 205.25/205.53 (define @t46 () (tptp.in @t43 @t28)) % 205.25/205.53 (define @t47 () (and @t46 @t45)) % 205.25/205.53 (define @t48 () (tptp.in @t43 @t29)) % 205.25/205.53 (define @t49 () (= @t47 @t48)) % 205.25/205.53 (define @t50 () (@list @t43)) % 205.25/205.53 (define @t51 () (= @t48 @t47)) % 205.25/205.53 (define @t52 () (not @t48)) % 205.25/205.53 (define @t53 () (and @t46 @t52)) % 205.25/205.53 (define @t54 () (not @t53)) % 205.25/205.53 (define @t55 () (and @t46 @t44)) % 205.25/205.53 (define @t56 () (not @t55)) % 205.25/205.53 (define @t57 () (forall @t13 (= @t40 @t41))) % 205.25/205.53 (define @t58 () (= @t39 (tptp.set_difference @t28 @t29))) % 205.25/205.53 (define @t59 () (= @t58 @t57)) % 205.25/205.53 (define @t60 () (= @t58 @t42)) % 205.25/205.53 (define @t61 () (not @t42)) % 205.25/205.53 (define @t62 () (tptp.in @t43 @t39)) % 205.25/205.53 (define @t63 () (= @t53 @t62)) % 205.25/205.53 (define @t64 () (= @t5 @t8)) % 205.25/205.53 (define @t65 () (and @t32 @t31)) % 205.25/205.53 (define @t66 () (forall @t13 (= @t65 @t40))) % 205.25/205.53 (define @t67 () (forall @t13 (= @t40 @t65))) % 205.25/205.53 (define @t68 () (= @t39 @t39)) % 205.25/205.53 (define @t69 () (forall @t16 (= @t14 @t64))) % 205.25/205.53 (define @t70 () (= @t67 @t68)) % 205.25/205.53 (define @t71 () (= @t55 @t62)) % 205.25/205.53 (define @t72 () (= @t62 @t55)) % 205.25/205.53 (define @t73 () (not @t72)) % 205.25/205.53 (define @t74 () (not @t46)) % 205.25/205.53 (define @t75 () (not @t51)) % 205.25/205.53 (define @t76 () (not @t47)) % 205.25/205.53 (define @t77 () (@list false false)) % 205.25/205.53 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 205.25/205.53 (assume @p2 (forall @t4 (= @t5 (tptp.set_intersection2 @t2 @t1)))) % 205.25/205.53 (assume @p3 (forall @t4 (= @t7 (and @t6 (tptp.subset @t2 @t1))))) % 205.25/205.53 (assume @p4 (forall @t4 (= @t6 (forall (@list @t8) (=> (tptp.in @t8 @t1) (tptp.in @t8 @t2)))))) % 205.25/205.53 (assume @p5 @t17) % 205.25/205.53 (assume @p6 @t19) % 205.25/205.53 (assume @p7 true) % 205.25/205.53 (assume @p8 (tptp.empty tptp.empty_set)) % 205.25/205.53 (assume @p9 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 205.25/205.53 (assume @p10 (exists @t21 @t20)) % 205.25/205.53 (assume @p11 (exists @t21 (not @t20))) % 205.25/205.53 (assume @p12 (forall @t4 (tptp.subset @t1 @t1))) % 205.25/205.53 (assume @p13 (forall @t21 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 205.25/205.53 (assume @p14 (forall @t21 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 205.25/205.53 (assume @p15 @t24) % 205.25/205.53 (assume @p16 (forall @t21 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 205.25/205.53 (assume @p17 (forall @t21 (=> @t20 (= @t1 tptp.empty_set)))) % 205.25/205.53 (assume @p18 (forall @t4 (not (and @t3 @t25)))) % 205.25/205.53 (assume @p19 (forall @t4 (not (and @t20 (not @t7) @t25)))) % 205.25/205.53 (step @p20 :rule bool-eq-true :args (@t34)) % 205.25/205.53 (step @p21 :rule eq-symm :args (true @t34)) % 205.25/205.53 (step @p22 :rule trans :premises (@p21 @p20)) % 205.25/205.53 (step @p23 :rule eq-symm :args (@t30 @t33)) % 205.25/205.53 (step @p24 :rule cong :premises (@p23) :args (@t35)) % 205.25/205.53 (step @p25 :rule eq-refl :args (@t29)) % 205.25/205.53 (step @p26 :rule cong :premises (@p25 @p24) :args (@t36)) % 205.25/205.53 (step @p27 :rule trans :premises (@p26 @p22)) % 205.25/205.53 (step @p28 :rule refl :args (@t19)) % 205.25/205.53 (step @p29 :rule cong :premises (@p28 @p27) :args ((=> @t19 @t36))) % 205.25/205.53 (assume-push @p148 @t19) % 205.25/205.53 (step @p31 :rule instantiate :premises (@p6) :args ((@list @t28 @t27 @t29))) % 205.25/205.53 (step-pop @p149 :rule scope :premises (@p31)) % 205.25/205.53 (step @p32 :rule process_scope :premises (@p149) :args (@t36)) % 205.25/205.53 (step @p34 :rule eq_resolve :premises (@p32 @p29)) % 205.25/205.53 (step @p35 :rule implies_elim :premises (@p34)) % 205.25/205.53 (step @p36 :rule chain_m_resolution :premises (@p35 @p6) :args (@t34 @t37 @t38)) % 205.25/205.53 (step @p37 :rule eq-symm :args (@t47 @t48)) % 205.25/205.53 (step @p38 :rule refl :args (@t34)) % 205.25/205.53 (step @p39 :rule cong :premises (@p38 @p37) :args ((=> @t34 @t49))) % 205.25/205.53 (assume-push @p150 @t34) % 205.25/205.53 (step @p41 :rule instantiate :premises (@p36) :args (@t50)) % 205.25/205.53 (step-pop @p151 :rule scope :premises (@p41)) % 205.25/205.53 (step @p42 :rule process_scope :premises (@p151) :args (@t49)) % 205.25/205.53 (step @p44 :rule eq_resolve :premises (@p42 @p39)) % 205.25/205.53 (step @p45 :rule implies_elim :premises (@p44)) % 205.25/205.53 (step @p46 :rule chain_m_resolution :premises (@p45 @p36) :args (@t51 @t37 (@list @t34))) % 205.25/205.53 (step @p47 :rule cnf_and_pos :args (@t53 0)) % 205.25/205.53 (step @p48 :rule reordering :premises (@p47) :args ((or @t46 @t54))) % 205.25/205.53 (step @p49 :rule cnf_and_pos :args (@t55 0)) % 205.25/205.53 (step @p50 :rule reordering :premises (@p49) :args ((or @t46 @t56))) % 205.25/205.53 (step @p51 :rule eq-symm :args (@t40 @t41)) % 205.25/205.53 (step @p52 :rule cong :premises (@p51) :args (@t57)) % 205.25/205.53 (step @p53 :rule refl :args (@t58)) % 205.25/205.53 (step @p54 :rule cong :premises (@p53 @p52) :args (@t59)) % 205.25/205.53 (step @p55 :rule cong :premises (@p28 @p54) :args ((=> @t19 @t59))) % 205.25/205.53 (assume-push @p152 @t19) % 205.25/205.53 (step @p57 :rule instantiate :premises (@p6) :args ((@list @t28 @t29 @t39))) % 205.25/205.53 (step-pop @p153 :rule scope :premises (@p57)) % 205.25/205.53 (step @p58 :rule process_scope :premises (@p153) :args (@t59)) % 205.25/205.53 (step @p60 :rule eq_resolve :premises (@p58 @p55)) % 205.25/205.53 (step @p61 :rule implies_elim :premises (@p60)) % 205.25/205.53 (step @p62 :rule chain_m_resolution :premises (@p61 @p6) :args (@t60 @t37 @t38)) % 205.25/205.53 (step @p63 :rule eq-symm :args (@t22 @t5)) % 205.25/205.53 (step @p64 :rule cong :premises (@p63) :args (@t23)) % 205.25/205.53 (step @p65 :rule cong :premises (@p64) :args (@t24)) % 205.25/205.53 (step @p66 :rule eq_resolve :premises (@p15 @p65)) % 205.25/205.53 (step @p67 :rule skolemize :premises (@p66)) % 205.25/205.53 (step @p68 :rule cnf_equiv_pos2 :args (@t60)) % 205.25/205.53 (step @p69 :rule reordering :premises (@p68) :args ((or @t58 @t61 (not @t60)))) % 205.25/205.53 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p62) :args (@t61 (@list true false) (@list @t58 @t60))) % 205.25/205.53 (step @p71 :rule skolemize :premises (@p70)) % 205.25/205.53 (step @p72 :rule cnf_equiv_neg1 :args (@t63)) % 205.25/205.53 (step @p73 :rule reordering :premises (@p72) :args ((or @t53 @t62 @t63))) % 205.25/205.53 (step @p74 :rule eq-symm :args (@t64 @t14)) % 205.25/205.53 (step @p75 :rule refl :args (@t14)) % 205.25/205.53 (step @p76 :rule eq-symm :args (@t8 @t5)) % 205.25/205.53 (step @p77 :rule cong :premises (@p76 @p75) :args (@t15)) % 205.25/205.53 (step @p78 :rule trans :premises (@p77 @p74)) % 205.25/205.53 (step @p79 :rule cong :premises (@p78) :args (@t17)) % 205.25/205.53 (step @p80 :rule eq_resolve :premises (@p5 @p79)) % 205.25/205.53 (step @p81 :rule bool-eq-true :args (@t66)) % 205.25/205.53 (step @p82 :rule eq-symm :args (true @t66)) % 205.25/205.53 (step @p83 :rule trans :premises (@p82 @p81)) % 205.25/205.53 (step @p84 :rule eq-symm :args (@t40 @t65)) % 205.25/205.53 (step @p85 :rule cong :premises (@p84) :args (@t67)) % 205.25/205.53 (step @p86 :rule eq-refl :args (@t39)) % 205.25/205.53 (step @p87 :rule cong :premises (@p86 @p85) :args ((= @t68 @t67))) % 205.25/205.53 (step @p88 :rule trans :premises (@p87 @p83)) % 205.25/205.53 (step @p89 :rule eq-symm :args (@t67 @t68)) % 205.25/205.53 (step @p90 :rule trans :premises (@p89 @p88)) % 205.25/205.53 (step @p91 :rule refl :args (@t69)) % 205.25/205.53 (step @p92 :rule cong :premises (@p91 @p90) :args ((=> @t69 @t70))) % 205.25/205.53 (assume-push @p154 @t69) % 205.25/205.53 (step @p94 :rule instantiate :premises (@p80) :args ((@list @t28 @t27 @t39))) % 205.25/205.53 (step-pop @p155 :rule scope :premises (@p94)) % 205.25/205.53 (step @p95 :rule process_scope :premises (@p155) :args (@t70)) % 205.25/205.53 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 205.25/205.53 (step @p98 :rule implies_elim :premises (@p97)) % 205.25/205.53 (step @p99 :rule chain_m_resolution :premises (@p98 @p80) :args (@t66 @t37 (@list @t69))) % 205.25/205.53 (step @p100 :rule eq-symm :args (@t55 @t62)) % 205.25/205.53 (step @p101 :rule refl :args (@t66)) % 205.25/205.53 (step @p102 :rule cong :premises (@p101 @p100) :args ((=> @t66 @t71))) % 205.25/205.53 (assume-push @p156 @t66) % 205.25/205.53 (step @p104 :rule instantiate :premises (@p99) :args (@t50)) % 205.25/205.53 (step-pop @p157 :rule scope :premises (@p104)) % 205.25/205.53 (step @p105 :rule process_scope :premises (@p157) :args (@t71)) % 205.25/205.53 (step @p107 :rule eq_resolve :premises (@p105 @p102)) % 205.25/205.53 (step @p108 :rule implies_elim :premises (@p107)) % 205.25/205.53 (step @p109 :rule chain_m_resolution :premises (@p108 @p99) :args (@t72 @t37 (@list @t66))) % 205.25/205.53 (step @p110 :rule cnf_equiv_pos1 :args (@t72)) % 205.25/205.53 (step @p111 :rule reordering :premises (@p110) :args ((or (not @t62) @t55 @t73))) % 205.25/205.53 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p73 @p71 @p50 @p48) :args (@t46 (@list false false true true true) (@list @t72 @t62 @t63 @t55 @t53))) % 205.25/205.53 (step @p113 :rule bool-double-not-elim :args (@t48)) % 205.25/205.53 (step @p114 :rule refl :args (@t74)) % 205.25/205.53 (step @p115 :rule refl :args (@t53)) % 205.25/205.53 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113) :args ((or @t53 @t74 (not @t52)))) % 205.25/205.53 (step @p117 :rule cnf_and_neg :args (@t53)) % 205.25/205.53 (step @p118 :rule eq_resolve :premises (@p117 @p116)) % 205.25/205.53 (step @p119 :rule reordering :premises (@p118) :args ((or @t48 @t53 @t74))) % 205.25/205.53 (step @p120 :rule cnf_equiv_pos2 :args (@t51)) % 205.25/205.53 (step @p121 :rule reordering :premises (@p120) :args ((or @t48 @t76 @t75))) % 205.25/205.53 (step @p122 :rule cnf_equiv_neg2 :args (@t63)) % 205.25/205.53 (step @p123 :rule bool-double-not-elim :args (@t44)) % 205.25/205.53 (step @p124 :rule refl :args (@t47)) % 205.25/205.53 (step @p125 :rule nary_cong :premises (@p124 @p114 @p123) :args ((or @t47 @t74 (not @t45)))) % 205.25/205.53 (step @p126 :rule cnf_and_neg :args (@t47)) % 205.25/205.53 (step @p127 :rule eq_resolve :premises (@p126 @p125)) % 205.25/205.53 (step @p128 :rule reordering :premises (@p127) :args ((or @t74 @t44 @t47))) % 205.25/205.53 (step @p129 :rule cnf_equiv_pos2 :args (@t72)) % 205.25/205.53 (step @p130 :rule reordering :premises (@p129) :args ((or @t62 @t56 @t73))) % 205.25/205.53 (step @p131 :rule cnf_and_neg :args (@t55)) % 205.25/205.53 (step @p132 :rule reordering :premises (@p131) :args ((or @t74 @t55 @t45))) % 205.25/205.53 (step @p133 :rule chain_m_resolution :premises (@p132 @p112 @p130 @p109 @p128 @p112 @p122 @p71 @p121 @p46 @p119 @p112) :args (@t48 (@list false true false false false true true true false false false) (@list @t46 @t55 @t72 @t44 @t46 @t62 @t63 @t47 @t51 @t53 @t46))) % 205.25/205.53 (step @p134 :rule cnf_equiv_pos1 :args (@t51)) % 205.25/205.53 (step @p135 :rule reordering :premises (@p134) :args ((or @t52 @t47 @t75))) % 205.25/205.53 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p46) :args (@t47 @t77 (@list @t48 @t51))) % 205.25/205.53 (step @p137 :rule cnf_and_pos :args (@t47 1)) % 205.25/205.53 (step @p138 :rule reordering :premises (@p137) :args ((or @t45 @t76))) % 205.25/205.53 (step @p139 :rule chain_m_resolution :premises (@p138 @p136) :args (@t45 @t37 (@list @t47))) % 205.25/205.53 (step @p140 :rule cnf_and_pos :args (@t53 1)) % 205.25/205.53 (step @p141 :rule reordering :premises (@p140) :args ((or @t52 @t54))) % 205.25/205.53 (step @p142 :rule chain_m_resolution :premises (@p141 @p133) :args (@t54 @t37 (@list @t48))) % 205.25/205.53 (step @p143 :rule chain_m_resolution :premises (@p73 @p142 @p71) :args (@t62 (@list true true) (@list @t53 @t63))) % 205.25/205.53 (step @p144 :rule chain_m_resolution :premises (@p111 @p143 @p109) :args (@t55 @t77 (@list @t62 @t72))) % 205.25/205.53 (step @p145 :rule cnf_and_pos :args (@t55 1)) % 205.25/205.53 (step @p146 :rule reordering :premises (@p145) :args ((or @t44 @t56))) % 205.25/205.53 (step @p147 false :rule chain_m_resolution :premises (@p146 @p144 @p139) :args (false (@list false true) (@list @t55 @t44))) % 205.25/205.53 ) % 205.25/205.53 % SZS output end Proof % 205.25/205.53 % cvc5 exiting %------------------------------------------------------------------------------