%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU406+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:51:38 AM UTC 2026 % Result : Theorem 15.41s 15.62s % Output : Proof 15.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU406+1 : TPTP v9.2.1. Released v3.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.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 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:09:41 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.41/15.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.41/15.62 --- Run --no-e-matching --full-saturate-quant at 6... % 15.41/15.62 % SZS status Theorem % 15.41/15.62 % SZS output start Proof % 15.41/15.62 ( % 15.41/15.62 (declare-sort $$unsorted 0) % 15.41/15.62 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 15.41/15.62 (declare-const tptp.k1_xboole_0 $$unsorted) % 15.41/15.62 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 15.41/15.62 (declare-const tptp.k2_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 15.41/15.62 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 15.41/15.62 (declare-const tptp.k4_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 15.41/15.62 (define @t1 () (@var "D" $$unsorted)) % 15.41/15.62 (define @t2 () (@var "C" $$unsorted)) % 15.41/15.62 (define @t3 () (tptp.k4_xboole_0 @t2 @t1)) % 15.41/15.62 (define @t4 () (@var "B" $$unsorted)) % 15.41/15.62 (define @t5 () (tptp.r2_hidden @t4 @t3)) % 15.41/15.62 (define @t6 () (@var "A" $$unsorted)) % 15.41/15.62 (define @t7 () (tptp.r2_hidden @t6 @t1)) % 15.41/15.62 (define @t8 () (and @t7 @t5)) % 15.41/15.62 (define @t9 () (not @t8)) % 15.41/15.62 (define @t10 () (tptp.r2_hidden @t4 @t1)) % 15.41/15.62 (define @t11 () (tptp.r2_hidden @t6 @t3)) % 15.41/15.62 (define @t12 () (and @t11 @t10)) % 15.41/15.62 (define @t13 () (not @t12)) % 15.41/15.62 (define @t14 () (and @t7 @t10)) % 15.41/15.62 (define @t15 () (not @t14)) % 15.41/15.62 (define @t16 () (and @t11 @t5)) % 15.41/15.62 (define @t17 () (not @t16)) % 15.41/15.62 (define @t18 () (tptp.k2_xboole_0 @t2 @t1)) % 15.41/15.62 (define @t19 () (tptp.r2_hidden @t4 @t18)) % 15.41/15.62 (define @t20 () (tptp.r2_hidden @t6 @t18)) % 15.41/15.62 (define @t21 () (@list @t6 @t4 @t2 @t1)) % 15.41/15.62 (define @t22 () (forall @t21 (not (and @t20 @t19 @t17 @t15 @t13 @t9)))) % 15.41/15.62 (define @t23 () (not @t22)) % 15.41/15.62 (define @t24 () (tptp.r2_hidden @t6 @t4)) % 15.41/15.62 (define @t25 () (@list @t6 @t4)) % 15.41/15.62 (define @t26 () (tptp.k2_xboole_0 @t4 @t6)) % 15.41/15.62 (define @t27 () (tptp.k2_xboole_0 @t6 @t4)) % 15.41/15.62 (define @t28 () (@list @t1)) % 15.41/15.62 (define @t29 () (forall (@list @t6 @t4 @t2) (= (= @t2 @t27) (forall @t28 (= (tptp.r2_hidden @t1 @t2) (or (tptp.r2_hidden @t1 @t6) (tptp.r2_hidden @t1 @t4))))))) % 15.41/15.62 (define @t30 () (@list @t6)) % 15.41/15.62 (define @t31 () (tptp.v1_xboole_0 @t6)) % 15.41/15.62 (define @t32 () (not @t31)) % 15.41/15.62 (define @t33 () (tptp.m1_subset_1 @t6 @t4)) % 15.41/15.62 (define @t34 () (tptp.v1_xboole_0 @t4)) % 15.41/15.62 (define @t35 () (tptp.k2_xboole_0 @t6 (tptp.k4_xboole_0 @t4 @t6))) % 15.41/15.62 (define @t36 () (forall @t25 (= @t35 @t27))) % 15.41/15.62 (define @t37 () (not @t19)) % 15.41/15.62 (define @t38 () (not @t20)) % 15.41/15.62 (define @t39 () (forall @t21 (or @t38 @t37 @t16 @t14 @t12 @t8))) % 15.41/15.62 (define @t40 () (@quantifiers_skolemize @t39 3)) % 15.41/15.62 (define @t41 () (@quantifiers_skolemize @t39 2)) % 15.41/15.62 (define @t42 () (tptp.k4_xboole_0 @t41 @t40)) % 15.41/15.62 (define @t43 () (tptp.k2_xboole_0 @t40 @t42)) % 15.41/15.62 (define @t44 () (forall @t28 (= (tptp.r2_hidden @t1 @t43) (or (tptp.r2_hidden @t1 @t40) (tptp.r2_hidden @t1 @t42))))) % 15.41/15.62 (define @t45 () (= (= @t43 @t43) @t44)) % 15.41/15.62 (define @t46 () (@quantifiers_skolemize @t39 1)) % 15.41/15.62 (define @t47 () (not @t9)) % 15.41/15.62 (define @t48 () (not @t13)) % 15.41/15.62 (define @t49 () (not @t15)) % 15.41/15.62 (define @t50 () (not @t17)) % 15.41/15.62 (define @t51 () (or @t38 @t37 @t50 @t49 @t48 @t47)) % 15.41/15.62 (define @t52 () (tptp.k2_xboole_0 @t41 @t40)) % 15.41/15.62 (define @t53 () (tptp.r2_hidden @t46 @t52)) % 15.41/15.62 (define @t54 () (tptp.r2_hidden @t46 @t42)) % 15.41/15.62 (define @t55 () (@quantifiers_skolemize @t39 0)) % 15.41/15.62 (define @t56 () (tptp.r2_hidden @t55 @t40)) % 15.41/15.62 (define @t57 () (and @t56 @t54)) % 15.41/15.62 (define @t58 () (tptp.r2_hidden @t46 @t40)) % 15.41/15.62 (define @t59 () (tptp.r2_hidden @t55 @t42)) % 15.41/15.62 (define @t60 () (and @t59 @t58)) % 15.41/15.62 (define @t61 () (and @t56 @t58)) % 15.41/15.62 (define @t62 () (and @t59 @t54)) % 15.41/15.62 (define @t63 () (not @t53)) % 15.41/15.62 (define @t64 () (tptp.r2_hidden @t55 @t52)) % 15.41/15.62 (define @t65 () (not @t64)) % 15.41/15.62 (define @t66 () (or @t65 @t63 @t62 @t61 @t60 @t57)) % 15.41/15.62 (define @t67 () (@list true)) % 15.41/15.62 (define @t68 () (@list @t66)) % 15.41/15.62 (define @t69 () (tptp.r2_hidden @t46 @t43)) % 15.41/15.62 (define @t70 () (or @t58 @t54)) % 15.41/15.62 (define @t71 () (= @t69 @t70)) % 15.41/15.62 (define @t72 () (@list false false)) % 15.41/15.62 (define @t73 () (tptp.r2_hidden @t55 @t43)) % 15.41/15.62 (define @t74 () (or @t56 @t59)) % 15.41/15.62 (define @t75 () (= @t73 @t74)) % 15.41/15.62 (define @t76 () (not @t56)) % 15.41/15.62 (define @t77 () (not @t54)) % 15.41/15.62 (define @t78 () (@list true false)) % 15.41/15.62 (assume @p1 @t23) % 15.41/15.62 (assume @p2 (forall @t25 (=> @t24 (not (tptp.r2_hidden @t4 @t6))))) % 15.41/15.62 (assume @p3 (forall @t25 (= @t27 @t26))) % 15.41/15.62 (assume @p4 @t29) % 15.41/15.62 (assume @p5 true) % 15.41/15.62 (assume @p6 (forall @t30 (exists (@list @t4) (tptp.m1_subset_1 @t4 @t6)))) % 15.41/15.62 (assume @p7 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 15.41/15.62 (assume @p8 (forall @t25 (=> @t32 (not (tptp.v1_xboole_0 @t27))))) % 15.41/15.62 (assume @p9 (forall @t25 (=> @t32 (not (tptp.v1_xboole_0 @t26))))) % 15.41/15.62 (assume @p10 (forall @t25 (= (tptp.k2_xboole_0 @t6 @t6) @t6))) % 15.41/15.62 (assume @p11 (exists @t30 @t31)) % 15.41/15.62 (assume @p12 (exists @t30 @t32)) % 15.41/15.62 (assume @p13 (forall @t30 (= (tptp.k2_xboole_0 @t6 tptp.k1_xboole_0) @t6))) % 15.41/15.62 (assume @p14 (forall @t25 (=> @t24 @t33))) % 15.41/15.62 (assume @p15 (forall @t25 (=> @t33 (or @t34 @t24)))) % 15.41/15.62 (assume @p16 @t36) % 15.41/15.62 (assume @p17 (forall @t30 (= (tptp.k4_xboole_0 @t6 tptp.k1_xboole_0) @t6))) % 15.41/15.62 (assume @p18 (forall @t30 (= (tptp.k4_xboole_0 tptp.k1_xboole_0 @t6) tptp.k1_xboole_0))) % 15.41/15.62 (assume @p19 (forall @t30 (=> @t31 (= @t6 tptp.k1_xboole_0)))) % 15.41/15.62 (assume @p20 (forall @t25 (not (and @t24 @t34)))) % 15.41/15.62 (assume @p21 (forall @t25 (not (and @t31 (not (= @t6 @t4)) @t34)))) % 15.41/15.62 (step @p22 :rule bool-eq-true :args (@t44)) % 15.41/15.62 (step @p23 :rule eq-symm :args (true @t44)) % 15.41/15.62 (step @p24 :rule trans :premises (@p23 @p22)) % 15.41/15.62 (step @p25 :rule refl :args (@t44)) % 15.41/15.62 (step @p26 :rule eq-refl :args (@t43)) % 15.41/15.62 (step @p27 :rule cong :premises (@p26 @p25) :args (@t45)) % 15.41/15.62 (step @p28 :rule trans :premises (@p27 @p24)) % 15.41/15.62 (step @p29 :rule refl :args (@t29)) % 15.41/15.62 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t29 @t45))) % 15.41/15.62 (assume-push @p128 @t29) % 15.41/15.62 (step @p32 :rule instantiate :premises (@p4) :args ((@list @t40 @t42 @t43))) % 15.41/15.62 (step-pop @p129 :rule scope :premises (@p32)) % 15.41/15.62 (step @p33 :rule process_scope :premises (@p129) :args (@t45)) % 15.41/15.62 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 15.41/15.62 (step @p36 :rule implies_elim :premises (@p35)) % 15.41/15.62 (step @p37 :rule chain_m_resolution :premises (@p36 @p4) :args (@t44 (@list false) (@list @t29))) % 15.41/15.62 (step @p38 :rule instantiate :premises (@p37) :args ((@list @t46))) % 15.41/15.62 (step @p39 :rule bool-double-not-elim :args (@t8)) % 15.41/15.62 (step @p40 :rule bool-double-not-elim :args (@t12)) % 15.41/15.62 (step @p41 :rule bool-double-not-elim :args (@t14)) % 15.41/15.62 (step @p42 :rule bool-double-not-elim :args (@t16)) % 15.41/15.62 (step @p43 :rule refl :args (@t37)) % 15.41/15.62 (step @p44 :rule refl :args (@t38)) % 15.41/15.62 (step @p45 :rule nary_cong :premises (@p44 @p43 @p42 @p41 @p40 @p39) :args (@t51)) % 15.41/15.62 (step @p46 :rule aci_norm :args ((= (or @t38 (or @t37 (or @t50 (or @t49 (or @t48 @t47))))) @t51))) % 15.41/15.62 (step @p47 :rule trans :premises (@p46 @p45)) % 15.41/15.62 (step @p48 :rule bool-and-de-morgan :args (@t13 @t9 true)) % 15.41/15.62 (step @p49 :rule refl :args (@t49)) % 15.41/15.62 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t49 (not (and @t13 @t9))))) % 15.41/15.62 (step @p51 :rule bool-and-de-morgan :args (@t15 @t13 (and @t9))) % 15.41/15.62 (step @p52 :rule trans :premises (@p51 @p50)) % 15.41/15.62 (step @p53 :rule refl :args (@t50)) % 15.41/15.62 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t50 (not (and @t15 @t13 @t9))))) % 15.41/15.62 (step @p55 :rule bool-and-de-morgan :args (@t17 @t15 (and @t13 @t9))) % 15.41/15.62 (step @p56 :rule trans :premises (@p55 @p54)) % 15.41/15.62 (step @p57 :rule nary_cong :premises (@p43 @p56) :args ((or @t37 (not (and @t17 @t15 @t13 @t9))))) % 15.41/15.62 (step @p58 :rule bool-and-de-morgan :args (@t19 @t17 (and @t15 @t13 @t9))) % 15.41/15.62 (step @p59 :rule trans :premises (@p58 @p57)) % 15.41/15.62 (step @p60 :rule nary_cong :premises (@p44 @p59) :args ((or @t38 (not (and @t19 @t17 @t15 @t13 @t9))))) % 15.41/15.62 (step @p61 :rule bool-and-de-morgan :args (@t20 @t19 (and @t17 @t15 @t13 @t9))) % 15.41/15.62 (step @p62 :rule trans :premises (@p61 @p60)) % 15.41/15.62 (step @p63 :rule trans :premises (@p62 @p47)) % 15.41/15.62 (step @p64 :rule cong :premises (@p63) :args (@t22)) % 15.41/15.62 (step @p65 :rule cong :premises (@p64) :args (@t23)) % 15.41/15.62 (step @p66 :rule eq_resolve :premises (@p1 @p65)) % 15.41/15.62 (step @p67 :rule skolemize :premises (@p66)) % 15.41/15.62 (step @p68 :rule bool-double-not-elim :args (@t53)) % 15.41/15.62 (step @p69 :rule refl :args (@t66)) % 15.41/15.62 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t66 (not @t63)))) % 15.41/15.62 (step @p71 :rule cnf_or_neg :args (@t66 1)) % 15.41/15.62 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 15.41/15.62 (step @p73 :rule reordering :premises (@p72) :args ((or @t53 @t66))) % 15.41/15.62 (step @p74 :rule chain_m_resolution :premises (@p73 @p67) :args (@t53 @t67 @t68)) % 15.41/15.62 (step @p75 :rule true_intro :premises (@p74)) % 15.41/15.62 (step @p76 :rule instantiate :premises (@p3) :args ((@list @t41 @t40))) % 15.41/15.62 (step @p77 :rule symm :premises (@p76)) % 15.41/15.62 (step @p78 :rule eq-symm :args (@t35 @t27)) % 15.41/15.62 (step @p79 :rule cong :premises (@p78) :args (@t36)) % 15.41/15.63 (step @p80 :rule eq_resolve :premises (@p16 @p79)) % 15.41/15.63 (step @p81 :rule instantiate :premises (@p80) :args ((@list @t40 @t41))) % 15.41/15.63 (step @p82 :rule symm :premises (@p81)) % 15.41/15.63 (step @p83 :rule trans :premises (@p82 @p77)) % 15.41/15.63 (step @p84 :rule refl :args (@t46)) % 15.41/15.63 (step @p85 :rule cong :premises (@p84 @p83) :args (@t69)) % 15.41/15.63 (step @p86 :rule trans :premises (@p85 @p75)) % 15.41/15.63 (step @p87 :rule true_elim :premises (@p86)) % 15.41/15.63 (step @p88 :rule cnf_equiv_pos1 :args (@t71)) % 15.41/15.63 (step @p89 :rule reordering :premises (@p88) :args ((or @t70 (not @t69) (not @t71)))) % 15.41/15.63 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p38) :args (@t70 @t72 (@list @t69 @t71))) % 15.41/15.63 (step @p91 :rule instantiate :premises (@p37) :args ((@list @t55))) % 15.41/15.63 (step @p92 :rule bool-double-not-elim :args (@t64)) % 15.41/15.63 (step @p93 :rule nary_cong :premises (@p69 @p92) :args ((or @t66 (not @t65)))) % 15.41/15.63 (step @p94 :rule cnf_or_neg :args (@t66 0)) % 15.41/15.63 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 15.41/15.63 (step @p96 :rule reordering :premises (@p95) :args ((or @t64 @t66))) % 15.41/15.63 (step @p97 :rule chain_m_resolution :premises (@p96 @p67) :args (@t64 @t67 @t68)) % 15.41/15.63 (step @p98 :rule true_intro :premises (@p97)) % 15.41/15.63 (step @p99 :rule refl :args (@t55)) % 15.41/15.63 (step @p100 :rule cong :premises (@p99 @p83) :args (@t73)) % 15.41/15.63 (step @p101 :rule trans :premises (@p100 @p98)) % 15.41/15.63 (step @p102 :rule true_elim :premises (@p101)) % 15.41/15.63 (step @p103 :rule cnf_equiv_pos1 :args (@t75)) % 15.41/15.63 (step @p104 :rule reordering :premises (@p103) :args ((or @t74 (not @t73) (not @t75)))) % 15.41/15.63 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p91) :args (@t74 @t72 (@list @t73 @t75))) % 15.41/15.63 (step @p106 :rule cnf_or_neg :args (@t66 3)) % 15.41/15.63 (step @p107 :rule chain_m_resolution :premises (@p106 @p67) :args ((not @t61) @t67 @t68)) % 15.41/15.63 (step @p108 :rule cnf_and_neg :args (@t61)) % 15.41/15.63 (step @p109 :rule cnf_or_neg :args (@t66 5)) % 15.41/15.63 (step @p110 :rule chain_m_resolution :premises (@p109 @p67) :args ((not @t57) @t67 @t68)) % 15.41/15.63 (step @p111 :rule cnf_and_neg :args (@t57)) % 15.41/15.63 (step @p112 :rule reordering :premises (@p111) :args ((or @t57 @t77 @t76))) % 15.41/15.63 (step @p113 :rule cnf_or_pos :args (@t70)) % 15.41/15.63 (step @p114 :rule reordering :premises (@p113) :args ((or @t54 @t58 (not @t70)))) % 15.41/15.63 (step @p115 :rule chain_m_resolution :premises (@p114 @p90 @p112 @p110 @p108 @p107) :args (@t76 (@list false true true true true) (@list @t70 @t54 @t57 @t58 @t61))) % 15.41/15.63 (step @p116 :rule cnf_or_pos :args (@t74)) % 15.41/15.63 (step @p117 :rule reordering :premises (@p116) :args ((or @t59 @t56 (not @t74)))) % 15.41/15.63 (step @p118 :rule chain_m_resolution :premises (@p117 @p115 @p105) :args (@t59 @t78 (@list @t56 @t74))) % 15.41/15.63 (step @p119 :rule cnf_or_neg :args (@t66 2)) % 15.41/15.63 (step @p120 :rule chain_m_resolution :premises (@p119 @p67) :args ((not @t62) @t67 @t68)) % 15.41/15.63 (step @p121 :rule cnf_and_neg :args (@t62)) % 15.41/15.63 (step @p122 :rule chain_m_resolution :premises (@p121 @p120 @p118) :args (@t77 @t78 (@list @t62 @t59))) % 15.41/15.63 (step @p123 :rule cnf_or_neg :args (@t66 4)) % 15.41/15.63 (step @p124 :rule chain_m_resolution :premises (@p123 @p67) :args ((not @t60) @t67 @t68)) % 15.41/15.63 (step @p125 :rule cnf_and_neg :args (@t60)) % 15.41/15.63 (step @p126 :rule chain_m_resolution :premises (@p125 @p124 @p118) :args ((not @t58) @t78 (@list @t60 @t59))) % 15.41/15.63 (step @p127 false :rule chain_m_resolution :premises (@p114 @p126 @p122 @p90) :args (false (@list true true false) (@list @t58 @t54 @t70))) % 15.41/15.63 ) % 15.41/15.63 % SZS output end Proof % 15.41/15.63 % cvc5 exiting %------------------------------------------------------------------------------