%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ018-1 : TPTP v9.2.1. Bugfixed v1.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:43:57 AM UTC 2026 % Result : Unsatisfiable 0.15s 0.39s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : PUZ018-1 : TPTP v9.2.1. Bugfixed v1.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 13:12:18 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.39 % SZS status Unsatisfiable % 0.15/0.39 % SZS output start Proof % 0.15/0.39 ( % 0.15/0.39 (declare-sort $$unsorted 0) % 0.15/0.39 (declare-const tptp.same_person (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.sunday $$unsorted) % 0.15/0.39 (declare-const tptp.consecutive (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.all_on (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.same_day (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.saturday $$unsorted) % 0.15/0.39 (declare-const tptp.c $$unsorted) % 0.15/0.39 (declare-const tptp.monday $$unsorted) % 0.15/0.39 (declare-const tptp.a $$unsorted) % 0.15/0.39 (declare-const tptp.tuesday $$unsorted) % 0.15/0.39 (declare-const tptp.on (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.wednesday $$unsorted) % 0.15/0.39 (declare-const tptp.b $$unsorted) % 0.15/0.39 (declare-const tptp.thursday $$unsorted) % 0.15/0.39 (declare-const tptp.friday $$unsorted) % 0.15/0.39 (define @t1 () (@var "X" $$unsorted)) % 0.15/0.39 (define @t2 () (tptp.on tptp.a @t1)) % 0.15/0.39 (define @t3 () (tptp.all_on @t1)) % 0.15/0.39 (define @t4 () (not @t3)) % 0.15/0.39 (define @t5 () (@list @t1)) % 0.15/0.39 (define @t6 () (forall @t5 (or @t4 @t2))) % 0.15/0.39 (define @t7 () (tptp.on tptp.b @t1)) % 0.15/0.39 (define @t8 () (tptp.on tptp.c @t1)) % 0.15/0.39 (define @t9 () (@var "Y" $$unsorted)) % 0.15/0.39 (define @t10 () (tptp.consecutive tptp.sunday tptp.monday)) % 0.15/0.39 (define @t11 () (tptp.consecutive tptp.monday tptp.tuesday)) % 0.15/0.39 (define @t12 () (tptp.consecutive tptp.tuesday tptp.wednesday)) % 0.15/0.39 (define @t13 () (tptp.consecutive tptp.wednesday tptp.thursday)) % 0.15/0.39 (define @t14 () (tptp.consecutive tptp.thursday tptp.friday)) % 0.15/0.39 (define @t15 () (tptp.same_person tptp.a tptp.b)) % 0.15/0.39 (define @t16 () (tptp.same_person tptp.a tptp.c)) % 0.15/0.39 (define @t17 () (tptp.same_day tptp.sunday tptp.tuesday)) % 0.15/0.39 (define @t18 () (tptp.same_day tptp.sunday tptp.thursday)) % 0.15/0.39 (define @t19 () (tptp.same_day tptp.tuesday tptp.thursday)) % 0.15/0.39 (define @t20 () (tptp.all_on tptp.saturday)) % 0.15/0.39 (define @t21 () (tptp.all_on tptp.friday)) % 0.15/0.39 (define @t22 () (tptp.all_on tptp.thursday)) % 0.15/0.39 (define @t23 () (tptp.all_on tptp.wednesday)) % 0.15/0.39 (define @t24 () (tptp.all_on tptp.tuesday)) % 0.15/0.39 (define @t25 () (tptp.all_on tptp.monday)) % 0.15/0.39 (define @t26 () (tptp.all_on tptp.sunday)) % 0.15/0.39 (define @t27 () (@var "Z" $$unsorted)) % 0.15/0.39 (define @t28 () (@var "U" $$unsorted)) % 0.15/0.39 (define @t29 () (@var "W" $$unsorted)) % 0.15/0.39 (define @t30 () (tptp.on tptp.a tptp.sunday)) % 0.15/0.39 (define @t31 () (tptp.on tptp.a tptp.tuesday)) % 0.15/0.39 (define @t32 () (tptp.on tptp.a tptp.thursday)) % 0.15/0.39 (define @t33 () (tptp.on tptp.b tptp.thursday)) % 0.15/0.39 (define @t34 () (tptp.on tptp.b tptp.saturday)) % 0.15/0.39 (define @t35 () (tptp.on tptp.c tptp.sunday)) % 0.15/0.39 (define @t36 () (not @t20)) % 0.15/0.39 (define @t37 () (or @t36 @t34)) % 0.15/0.39 (define @t38 () (@list true false)) % 0.15/0.39 (define @t39 () (not @t22)) % 0.15/0.39 (define @t40 () (or @t39 @t32)) % 0.15/0.39 (define @t41 () (tptp.on tptp.c tptp.thursday)) % 0.15/0.39 (define @t42 () (or @t30 @t32 @t35 @t41 @t16 @t18)) % 0.15/0.39 (define @t43 () (@list true true true true true false)) % 0.15/0.39 (define @t44 () (tptp.on tptp.c tptp.tuesday)) % 0.15/0.39 (define @t45 () (or @t30 @t31 @t35 @t44 @t16 @t17)) % 0.15/0.39 (define @t46 () (not @t41)) % 0.15/0.39 (define @t47 () (tptp.on tptp.c tptp.wednesday)) % 0.15/0.39 (define @t48 () (not @t47)) % 0.15/0.39 (define @t49 () (not @t44)) % 0.15/0.39 (define @t50 () (not @t14)) % 0.15/0.39 (define @t51 () (not @t13)) % 0.15/0.39 (define @t52 () (not @t12)) % 0.15/0.39 (define @t53 () (or @t52 @t51 @t50 @t49 @t48 @t46)) % 0.15/0.39 (define @t54 () (@list false false false false false false)) % 0.15/0.39 (define @t55 () (not @t23)) % 0.15/0.39 (define @t56 () (or @t55 @t47)) % 0.15/0.39 (define @t57 () (not @t24)) % 0.15/0.39 (define @t58 () (or @t57 @t31)) % 0.15/0.39 (define @t59 () (tptp.on tptp.b tptp.sunday)) % 0.15/0.39 (define @t60 () (or @t30 @t32 @t59 @t33 @t15 @t18)) % 0.15/0.39 (define @t61 () (tptp.on tptp.b tptp.tuesday)) % 0.15/0.39 (define @t62 () (or @t31 @t32 @t61 @t33 @t15 @t19)) % 0.15/0.39 (define @t63 () (not @t61)) % 0.15/0.39 (define @t64 () (tptp.on tptp.b tptp.monday)) % 0.15/0.39 (define @t65 () (not @t64)) % 0.15/0.39 (define @t66 () (not @t59)) % 0.15/0.39 (define @t67 () (not @t11)) % 0.15/0.39 (define @t68 () (not @t10)) % 0.15/0.39 (define @t69 () (or @t68 @t67 @t52 @t66 @t65 @t63)) % 0.15/0.39 (define @t70 () (not @t25)) % 0.15/0.39 (define @t71 () (or @t70 @t64)) % 0.15/0.39 (define @t72 () (not @t26)) % 0.15/0.39 (define @t73 () (or @t72 @t30)) % 0.15/0.39 (define @t74 () (not @t73)) % 0.15/0.39 (assume @p1 @t6) % 0.15/0.39 (assume @p2 (forall @t5 (or @t4 @t7))) % 0.15/0.39 (assume @p3 (forall @t5 (or @t4 @t8))) % 0.15/0.39 (assume @p4 (forall @t5 (or @t3 (not @t2) (not @t7) (not @t8)))) % 0.15/0.39 (assume @p5 (forall (@list @t1 @t9) (or @t4 (not (tptp.all_on @t9)) (tptp.same_day @t1 @t9)))) % 0.15/0.39 (assume @p6 @t10) % 0.15/0.39 (assume @p7 @t11) % 0.15/0.39 (assume @p8 @t12) % 0.15/0.39 (assume @p9 @t13) % 0.15/0.39 (assume @p10 @t14) % 0.15/0.39 (assume @p11 (tptp.consecutive tptp.friday tptp.saturday)) % 0.15/0.39 (assume @p12 (tptp.consecutive tptp.saturday tptp.sunday)) % 0.15/0.39 (assume @p13 (forall @t5 (tptp.same_person @t1 @t1))) % 0.15/0.39 (assume @p14 (not @t15)) % 0.15/0.39 (assume @p15 (not @t16)) % 0.15/0.39 (assume @p16 (not (tptp.same_person tptp.b tptp.c))) % 0.15/0.39 (assume @p17 (forall @t5 (tptp.same_day @t1 @t1))) % 0.15/0.39 (assume @p18 (not (tptp.same_day tptp.sunday tptp.monday))) % 0.15/0.39 (assume @p19 (not @t17)) % 0.15/0.39 (assume @p20 (not (tptp.same_day tptp.sunday tptp.wednesday))) % 0.15/0.39 (assume @p21 (not @t18)) % 0.15/0.39 (assume @p22 (not (tptp.same_day tptp.sunday tptp.friday))) % 0.15/0.39 (assume @p23 (not (tptp.same_day tptp.sunday tptp.saturday))) % 0.15/0.39 (assume @p24 (not (tptp.same_day tptp.monday tptp.tuesday))) % 0.15/0.39 (assume @p25 (not (tptp.same_day tptp.monday tptp.wednesday))) % 0.15/0.39 (assume @p26 (not (tptp.same_day tptp.monday tptp.thursday))) % 0.15/0.39 (assume @p27 (not (tptp.same_day tptp.monday tptp.friday))) % 0.15/0.39 (assume @p28 (not (tptp.same_day tptp.monday tptp.saturday))) % 0.15/0.39 (assume @p29 (not (tptp.same_day tptp.tuesday tptp.wednesday))) % 0.15/0.39 (assume @p30 (not @t19)) % 0.15/0.39 (assume @p31 (not (tptp.same_day tptp.tuesday tptp.friday))) % 0.15/0.39 (assume @p32 (not (tptp.same_day tptp.tuesday tptp.saturday))) % 0.15/0.39 (assume @p33 (not (tptp.same_day tptp.wednesday tptp.thursday))) % 0.15/0.39 (assume @p34 (not (tptp.same_day tptp.wednesday tptp.friday))) % 0.15/0.39 (assume @p35 (not (tptp.same_day tptp.wednesday tptp.saturday))) % 0.15/0.39 (assume @p36 (not (tptp.same_day tptp.thursday tptp.friday))) % 0.15/0.39 (assume @p37 (not (tptp.same_day tptp.thursday tptp.saturday))) % 0.15/0.39 (assume @p38 (not (tptp.same_day tptp.friday tptp.saturday))) % 0.15/0.39 (assume @p39 (or @t26 @t25 @t24 @t23 @t22 @t21 @t20)) % 0.15/0.39 (assume @p40 (forall (@list @t1 @t9 @t27 @t29 @t28) (or (not (tptp.consecutive @t1 @t9)) (not (tptp.consecutive @t9 @t27)) (not (tptp.consecutive @t27 @t29)) (not (tptp.on @t28 @t1)) (not (tptp.on @t28 @t9)) (not (tptp.on @t28 @t27))))) % 0.15/0.39 (assume @p41 (forall (@list @t1 @t9 @t27 @t29) (or (tptp.on @t1 @t9) (tptp.on @t1 @t27) (tptp.on @t29 @t9) (tptp.on @t29 @t27) (tptp.same_person @t1 @t29) (tptp.same_day @t9 @t27)))) % 0.15/0.39 (assume @p42 (not @t30)) % 0.15/0.39 (assume @p43 (not @t31)) % 0.15/0.39 (assume @p44 (not @t32)) % 0.15/0.39 (assume @p45 (not @t33)) % 0.15/0.39 (assume @p46 (not @t34)) % 0.15/0.39 (assume @p47 (not @t35)) % 0.15/0.39 (assume @p48 (not @t21)) % 0.15/0.39 (step @p49 :rule instantiate :premises (@p2) :args ((@list tptp.saturday))) % 0.15/0.39 (step @p50 :rule cnf_or_pos :args (@t37)) % 0.15/0.39 (step @p51 :rule reordering :premises (@p50) :args ((or @t34 @t36 (not @t37)))) % 0.15/0.39 (step @p52 :rule chain_m_resolution :premises (@p51 @p46 @p49) :args (@t36 @t38 (@list @t34 @t37))) % 0.15/0.39 (step @p53 :rule instantiate :premises (@p1) :args ((@list tptp.thursday))) % 0.15/0.39 (step @p54 :rule cnf_or_pos :args (@t40)) % 0.15/0.39 (step @p55 :rule reordering :premises (@p54) :args ((or @t32 @t39 (not @t40)))) % 0.15/0.39 (step @p56 :rule chain_m_resolution :premises (@p55 @p44 @p53) :args (@t39 @t38 (@list @t32 @t40))) % 0.15/0.39 (step @p57 :rule instantiate :premises (@p3) :args ((@list tptp.wednesday))) % 0.15/0.39 (step @p58 :rule instantiate :premises (@p40) :args ((@list tptp.tuesday tptp.wednesday tptp.thursday tptp.friday tptp.c))) % 0.15/0.39 (step @p59 :rule instantiate :premises (@p41) :args ((@list tptp.a tptp.sunday tptp.thursday tptp.c))) % 0.15/0.39 (step @p60 :rule cnf_or_pos :args (@t42)) % 0.15/0.39 (step @p61 :rule reordering :premises (@p60) :args ((or @t16 @t18 @t30 @t32 @t35 @t41 (not @t42)))) % 0.15/0.39 (step @p62 :rule chain_m_resolution :premises (@p61 @p15 @p21 @p42 @p44 @p47 @p59) :args (@t41 @t43 (@list @t16 @t18 @t30 @t32 @t35 @t42))) % 0.15/0.39 (step @p63 :rule instantiate :premises (@p41) :args ((@list tptp.a tptp.sunday tptp.tuesday tptp.c))) % 0.15/0.39 (step @p64 :rule cnf_or_pos :args (@t45)) % 0.15/0.39 (step @p65 :rule reordering :premises (@p64) :args ((or @t16 @t17 @t30 @t31 @t35 @t44 (not @t45)))) % 0.15/0.39 (step @p66 :rule chain_m_resolution :premises (@p65 @p15 @p19 @p42 @p43 @p47 @p63) :args (@t44 @t43 (@list @t16 @t17 @t30 @t31 @t35 @t45))) % 0.15/0.39 (step @p67 :rule cnf_or_pos :args (@t53)) % 0.15/0.39 (step @p68 :rule reordering :premises (@p67) :args ((or @t52 @t51 @t50 @t48 @t49 @t46 (not @t53)))) % 0.15/0.39 (step @p69 :rule chain_m_resolution :premises (@p68 @p8 @p9 @p10 @p66 @p62 @p58) :args (@t48 @t54 (@list @t12 @t13 @t14 @t44 @t41 @t53))) % 0.15/0.39 (step @p70 :rule cnf_or_pos :args (@t56)) % 0.15/0.39 (step @p71 :rule reordering :premises (@p70) :args ((or @t55 @t47 (not @t56)))) % 0.15/0.39 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p57) :args (@t55 @t38 (@list @t47 @t56))) % 0.15/0.39 (step @p73 :rule instantiate :premises (@p1) :args ((@list tptp.tuesday))) % 0.15/0.39 (step @p74 :rule cnf_or_pos :args (@t58)) % 0.15/0.39 (step @p75 :rule reordering :premises (@p74) :args ((or @t31 @t57 (not @t58)))) % 0.15/0.39 (step @p76 :rule chain_m_resolution :premises (@p75 @p43 @p73) :args (@t57 @t38 (@list @t31 @t58))) % 0.15/0.39 (step @p77 :rule instantiate :premises (@p2) :args ((@list tptp.monday))) % 0.15/0.39 (step @p78 :rule instantiate :premises (@p40) :args ((@list tptp.sunday tptp.monday tptp.tuesday tptp.wednesday tptp.b))) % 0.15/0.39 (step @p79 :rule instantiate :premises (@p41) :args ((@list tptp.a tptp.sunday tptp.thursday tptp.b))) % 0.15/0.39 (step @p80 :rule cnf_or_pos :args (@t60)) % 0.15/0.39 (step @p81 :rule reordering :premises (@p80) :args ((or @t15 @t18 @t30 @t32 @t33 @t59 (not @t60)))) % 0.15/0.39 (step @p82 :rule chain_m_resolution :premises (@p81 @p14 @p21 @p42 @p44 @p45 @p79) :args (@t59 @t43 (@list @t15 @t18 @t30 @t32 @t33 @t60))) % 0.15/0.39 (step @p83 :rule instantiate :premises (@p41) :args ((@list tptp.a tptp.tuesday tptp.thursday tptp.b))) % 0.15/0.39 (step @p84 :rule cnf_or_pos :args (@t62)) % 0.15/0.39 (step @p85 :rule reordering :premises (@p84) :args ((or @t15 @t19 @t31 @t32 @t33 @t61 (not @t62)))) % 0.15/0.39 (step @p86 :rule chain_m_resolution :premises (@p85 @p14 @p30 @p43 @p44 @p45 @p83) :args (@t61 @t43 (@list @t15 @t19 @t31 @t32 @t33 @t62))) % 0.15/0.39 (step @p87 :rule cnf_or_pos :args (@t69)) % 0.15/0.39 (step @p88 :rule reordering :premises (@p87) :args ((or @t68 @t67 @t52 @t65 @t63 @t66 (not @t69)))) % 0.15/0.39 (step @p89 :rule chain_m_resolution :premises (@p88 @p6 @p7 @p8 @p86 @p82 @p78) :args (@t65 @t54 (@list @t10 @t11 @t12 @t61 @t59 @t69))) % 0.15/0.39 (step @p90 :rule cnf_or_pos :args (@t71)) % 0.15/0.39 (step @p91 :rule reordering :premises (@p90) :args ((or @t70 @t64 (not @t71)))) % 0.15/0.39 (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p77) :args (@t70 @t38 (@list @t64 @t71))) % 0.15/0.39 (step @p93 :rule chain_m_resolution :premises (@p39 @p92 @p76 @p72 @p56 @p48 @p52) :args (@t26 (@list true true true true true true) (@list @t25 @t24 @t23 @t22 @t21 @t20))) % 0.15/0.39 (step @p94 :rule cnf_or_pos :args (@t73)) % 0.15/0.39 (step @p95 :rule reordering :premises (@p94) :args ((or @t30 @t72 @t74))) % 0.15/0.39 (step @p96 :rule chain_m_resolution :premises (@p95 @p42 @p93) :args (@t74 @t38 (@list @t30 @t26))) % 0.15/0.39 (assume-push @p103 @t6) % 0.15/0.39 (step @p98 :rule instantiate :premises (@p1) :args ((@list tptp.sunday))) % 0.15/0.39 (step-pop @p104 :rule scope :premises (@p98)) % 0.15/0.39 (step @p99 :rule process_scope :premises (@p104) :args (@t73)) % 0.15/0.39 (step @p101 :rule implies_elim :premises (@p99)) % 0.15/0.39 (step @p102 false :rule chain_m_resolution :premises (@p101 @p96 @p1) :args (false @t38 (@list @t73 @t6))) % 0.15/0.39 ) % 0.15/0.39 % SZS output end Proof % 0.15/0.39 % cvc5 exiting %------------------------------------------------------------------------------