%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ027-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:43:59 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ027-1 : TPTP v9.2.1. Released v1.0.0. % 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 : n008.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 13:12:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.33/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Unsatisfiable % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.a_liar_b_normal $$unsorted) % 0.39/0.57 (declare-const tptp.a_liar_b_truthteller $$unsorted) % 0.39/0.57 (declare-const tptp.a_normal_b_liar $$unsorted) % 0.39/0.57 (declare-const tptp.a_and_b_normal $$unsorted) % 0.39/0.57 (declare-const tptp.normal (-> $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.a_truth (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.a_and_b_truthteller $$unsorted) % 0.39/0.57 (declare-const tptp.liar (-> $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.answer (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.truthteller (-> $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.a_and_b_liar $$unsorted) % 0.39/0.57 (declare-const tptp.says (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.a $$unsorted) % 0.39/0.57 (declare-const tptp.not_lower (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.a_normal_b_truthteller $$unsorted) % 0.39/0.57 (declare-const tptp.b $$unsorted) % 0.39/0.57 (declare-const tptp.a_truthteller_b_normal $$unsorted) % 0.39/0.57 (declare-const tptp.lower (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.a_truthteller_b_liar $$unsorted) % 0.39/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.57 (define @t2 () (tptp.a_truth (tptp.normal @t1))) % 0.39/0.57 (define @t3 () (tptp.a_truth (tptp.liar @t1))) % 0.39/0.57 (define @t4 () (tptp.a_truth (tptp.truthteller @t1))) % 0.39/0.57 (define @t5 () (@list @t1)) % 0.39/0.57 (define @t6 () (not @t2)) % 0.39/0.57 (define @t7 () (not @t4)) % 0.39/0.57 (define @t8 () (not @t3)) % 0.39/0.57 (define @t9 () (@var "Y" $$unsorted)) % 0.39/0.57 (define @t10 () (tptp.a_truth @t9)) % 0.39/0.57 (define @t11 () (not (tptp.a_truth (tptp.says @t1 @t9)))) % 0.39/0.57 (define @t12 () (@list @t1 @t9)) % 0.39/0.57 (define @t13 () (tptp.a_truth (tptp.normal @t9))) % 0.39/0.57 (define @t14 () (tptp.a_truth (tptp.truthteller @t9))) % 0.39/0.57 (define @t15 () (not (tptp.a_truth (tptp.says @t9 @t1)))) % 0.39/0.57 (define @t16 () (tptp.a_truth @t1)) % 0.39/0.57 (define @t17 () (tptp.a_truth (tptp.liar @t9))) % 0.39/0.57 (define @t18 () (tptp.a_truth (tptp.lower @t1 @t9))) % 0.39/0.57 (define @t19 () (not @t18)) % 0.39/0.57 (define @t20 () (tptp.a_truth (tptp.not_lower @t1 @t9))) % 0.39/0.57 (define @t21 () (not @t20)) % 0.39/0.57 (define @t22 () (forall @t12 (or @t19 @t7))) % 0.39/0.57 (define @t23 () (tptp.a_truth (tptp.lower @t9 @t1))) % 0.39/0.57 (define @t24 () (tptp.lower tptp.a tptp.b)) % 0.39/0.57 (define @t25 () (tptp.a_truth (tptp.says tptp.a @t24))) % 0.39/0.57 (define @t26 () (tptp.not_lower tptp.a tptp.b)) % 0.39/0.57 (define @t27 () (tptp.a_truth (tptp.says tptp.b @t26))) % 0.39/0.57 (define @t28 () (tptp.a_truth (tptp.truthteller tptp.b))) % 0.39/0.57 (define @t29 () (not @t28)) % 0.39/0.57 (define @t30 () (tptp.a_truth (tptp.truthteller tptp.a))) % 0.39/0.57 (define @t31 () (not @t30)) % 0.39/0.57 (define @t32 () (tptp.a_truth (tptp.normal tptp.b))) % 0.39/0.57 (define @t33 () (not @t32)) % 0.39/0.57 (define @t34 () (tptp.a_truth (tptp.liar tptp.b))) % 0.39/0.57 (define @t35 () (not @t34)) % 0.39/0.57 (define @t36 () (tptp.a_truth (tptp.normal tptp.a))) % 0.39/0.57 (define @t37 () (not @t36)) % 0.39/0.57 (define @t38 () (tptp.answer tptp.a_and_b_normal)) % 0.39/0.57 (define @t39 () (tptp.a_truth (tptp.liar tptp.a))) % 0.39/0.57 (define @t40 () (not @t39)) % 0.39/0.57 (define @t41 () (@var "Answer" $$unsorted)) % 0.39/0.57 (define @t42 () (@list tptp.a tptp.b)) % 0.39/0.57 (define @t43 () (tptp.a_truth @t24)) % 0.39/0.57 (define @t44 () (not @t43)) % 0.39/0.57 (define @t45 () (tptp.a_truth @t26)) % 0.39/0.57 (define @t46 () (not @t45)) % 0.39/0.57 (define @t47 () (or @t46 @t44)) % 0.39/0.57 (define @t48 () (@list tptp.a @t24)) % 0.39/0.57 (define @t49 () (not @t25)) % 0.39/0.57 (define @t50 () (or @t31 @t49 @t43)) % 0.39/0.57 (define @t51 () (@list tptp.b tptp.a)) % 0.39/0.57 (define @t52 () (tptp.a_truth (tptp.not_lower tptp.b tptp.a))) % 0.39/0.57 (define @t53 () (not @t52)) % 0.39/0.57 (define @t54 () (or @t53 @t29 @t30 @t43)) % 0.39/0.57 (define @t55 () (@list @t26 tptp.b)) % 0.39/0.57 (define @t56 () (not @t27)) % 0.39/0.57 (define @t57 () (or @t46 @t56 @t28 @t32)) % 0.39/0.57 (define @t58 () (or @t53 @t33 @t36 @t43)) % 0.39/0.57 (define @t59 () (tptp.a_truth (tptp.lower tptp.b tptp.a))) % 0.39/0.57 (define @t60 () (or @t52 @t59)) % 0.39/0.57 (define @t61 () (not @t59)) % 0.39/0.57 (define @t62 () (or @t61 @t29)) % 0.39/0.57 (define @t63 () (or @t61 @t40)) % 0.39/0.57 (define @t64 () (or @t30 @t39 @t36)) % 0.39/0.57 (define @t65 () (or @t45 @t43)) % 0.39/0.57 (define @t66 () (@list true false)) % 0.39/0.57 (define @t67 () (or @t40 @t49 @t44)) % 0.39/0.57 (define @t68 () (or @t44 @t35)) % 0.39/0.57 (define @t69 () (@list false false)) % 0.39/0.57 (define @t70 () (or @t45 @t56 @t34 @t32)) % 0.39/0.57 (define @t71 () (or @t44 @t31)) % 0.39/0.57 (define @t72 () (not @t71)) % 0.39/0.57 (assume @p1 (forall @t5 (or @t4 @t3 @t2))) % 0.39/0.57 (assume @p2 (forall @t5 (or @t7 @t6))) % 0.39/0.57 (assume @p3 (forall @t5 (or @t7 @t8))) % 0.39/0.57 (assume @p4 (forall @t5 (or @t8 @t6))) % 0.39/0.57 (assume @p5 (forall @t12 (or @t7 @t11 @t10))) % 0.39/0.57 (assume @p6 (forall @t12 (or @t8 @t11 (not @t10)))) % 0.39/0.57 (assume @p7 (forall @t12 (or (not @t16) @t15 @t14 @t13))) % 0.39/0.57 (assume @p8 (forall @t12 (or @t16 @t15 @t17 @t13))) % 0.39/0.57 (assume @p9 (forall @t5 (tptp.a_truth (tptp.not_lower @t1 @t1)))) % 0.39/0.57 (assume @p10 (forall @t12 (or @t21 @t19))) % 0.39/0.57 (assume @p11 (forall @t12 (or @t20 @t18))) % 0.39/0.57 (assume @p12 (forall @t12 (or @t19 @t8 @t13 @t14))) % 0.39/0.57 (assume @p13 (forall @t12 (or @t19 @t6 @t14))) % 0.39/0.57 (assume @p14 @t22) % 0.39/0.57 (assume @p15 (forall @t12 (or @t19 (not @t14) @t2 @t3))) % 0.39/0.57 (assume @p16 (forall @t12 (or @t19 (not @t13) @t3))) % 0.39/0.57 (assume @p17 (forall @t12 (or @t19 (not @t17)))) % 0.39/0.57 (assume @p18 (forall @t12 (or @t21 @t7 @t14 @t23))) % 0.39/0.57 (assume @p19 (forall @t12 (or @t21 @t8 @t17 @t23))) % 0.39/0.57 (assume @p20 (forall @t12 (or @t21 @t6 @t13 @t23))) % 0.39/0.57 (assume @p21 @t25) % 0.39/0.57 (assume @p22 @t27) % 0.39/0.57 (assume @p23 (or @t31 @t29 (tptp.answer tptp.a_and_b_truthteller))) % 0.39/0.57 (assume @p24 (or @t31 @t33 (tptp.answer tptp.a_truthteller_b_normal))) % 0.39/0.57 (assume @p25 (or @t31 @t35 (tptp.answer tptp.a_truthteller_b_liar))) % 0.39/0.57 (assume @p26 (or @t37 @t29 (tptp.answer tptp.a_normal_b_truthteller))) % 0.39/0.57 (assume @p27 (or @t37 @t33 @t38)) % 0.39/0.57 (assume @p28 (or @t37 @t35 (tptp.answer tptp.a_normal_b_liar))) % 0.39/0.57 (assume @p29 (or @t40 @t29 (tptp.answer tptp.a_liar_b_truthteller))) % 0.39/0.57 (assume @p30 (or @t40 @t33 (tptp.answer tptp.a_liar_b_normal))) % 0.39/0.57 (assume @p31 (or @t40 @t35 (tptp.answer tptp.a_and_b_liar))) % 0.39/0.57 (assume @p32 (forall (@list @t41) (not (tptp.answer @t41)))) % 0.39/0.57 (step @p33 :rule instantiate :premises (@p11) :args (@t42)) % 0.39/0.57 (step @p34 :rule instantiate :premises (@p10) :args (@t42)) % 0.39/0.57 (step @p35 :rule cnf_or_pos :args (@t47)) % 0.39/0.57 (step @p36 :rule reordering :premises (@p35) :args ((or @t44 @t46 (not @t47)))) % 0.39/0.57 (step @p37 :rule instantiate :premises (@p5) :args (@t48)) % 0.39/0.57 (step @p38 :rule cnf_or_pos :args (@t50)) % 0.39/0.57 (step @p39 :rule reordering :premises (@p38) :args ((or @t31 @t49 @t43 (not @t50)))) % 0.39/0.57 (step @p40 :rule instantiate :premises (@p18) :args (@t51)) % 0.39/0.57 (step @p41 :rule cnf_or_pos :args (@t54)) % 0.39/0.57 (step @p42 :rule reordering :premises (@p41) :args ((or @t30 @t29 @t43 @t53 (not @t54)))) % 0.39/0.57 (step @p43 :rule instantiate :premises (@p7) :args (@t55)) % 0.39/0.57 (step @p44 :rule cnf_or_pos :args (@t57)) % 0.39/0.57 (step @p45 :rule reordering :premises (@p44) :args ((or @t28 @t32 @t56 @t46 (not @t57)))) % 0.39/0.57 (step @p46 :rule instantiate :premises (@p32) :args ((@list tptp.a_and_b_normal))) % 0.39/0.57 (step @p47 :rule reordering :premises (@p27) :args ((or @t33 @t37 @t38))) % 0.39/0.57 (step @p48 :rule instantiate :premises (@p20) :args (@t51)) % 0.39/0.57 (step @p49 :rule cnf_or_pos :args (@t58)) % 0.39/0.57 (step @p50 :rule reordering :premises (@p49) :args ((or @t33 @t36 @t43 @t53 (not @t58)))) % 0.39/0.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p47 @p46 @p45 @p43 @p22 @p42 @p40 @p36 @p34) :args ((or @t30 @t46 @t53) (@list false true true false false false true false true false) (@list @t58 @t36 @t38 @t32 @t57 @t27 @t28 @t54 @t43 @t47))) % 0.39/0.57 (step @p52 :rule instantiate :premises (@p11) :args (@t51)) % 0.39/0.57 (step @p53 :rule cnf_or_pos :args (@t60)) % 0.39/0.57 (step @p54 :rule reordering :premises (@p53) :args ((or @t52 @t59 (not @t60)))) % 0.39/0.57 (step @p55 :rule instantiate :premises (@p14) :args (@t51)) % 0.39/0.57 (step @p56 :rule cnf_or_pos :args (@t62)) % 0.39/0.57 (step @p57 :rule reordering :premises (@p56) :args ((or @t29 @t61 (not @t62)))) % 0.39/0.57 (step @p58 :rule instantiate :premises (@p17) :args (@t51)) % 0.39/0.57 (step @p59 :rule cnf_or_pos :args (@t63)) % 0.39/0.57 (step @p60 :rule reordering :premises (@p59) :args ((or @t40 @t61 (not @t63)))) % 0.39/0.57 (step @p61 :rule instantiate :premises (@p1) :args ((@list tptp.a))) % 0.39/0.57 (step @p62 :rule cnf_or_pos :args (@t64)) % 0.39/0.57 (step @p63 :rule reordering :premises (@p62) :args ((or @t30 @t36 @t39 (not @t64)))) % 0.39/0.57 (step @p64 :rule chain_m_resolution :premises (@p47 @p46 @p63 @p61 @p45 @p43 @p22 @p60 @p58 @p57 @p55 @p54 @p52 @p51 @p39 @p37 @p21 @p36 @p34) :args (@t46 (@list true false false false false false true false true false false false true true false false true false) (@list @t38 @t36 @t64 @t32 @t57 @t27 @t39 @t63 @t28 @t62 @t59 @t60 @t52 @t30 @t50 @t25 @t43 @t47))) % 0.39/0.57 (step @p65 :rule cnf_or_pos :args (@t65)) % 0.39/0.57 (step @p66 :rule reordering :premises (@p65) :args ((or @t43 @t45 (not @t65)))) % 0.39/0.57 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p33) :args (@t43 @t66 (@list @t45 @t65))) % 0.39/0.57 (step @p68 :rule instantiate :premises (@p6) :args (@t48)) % 0.39/0.57 (step @p69 :rule cnf_or_pos :args (@t67)) % 0.39/0.57 (step @p70 :rule reordering :premises (@p69) :args ((or @t40 @t49 @t44 (not @t67)))) % 0.39/0.57 (step @p71 :rule chain_m_resolution :premises (@p70 @p21 @p67 @p68) :args (@t40 (@list false false false) (@list @t25 @t43 @t67))) % 0.39/0.57 (step @p72 :rule instantiate :premises (@p8) :args (@t55)) % 0.39/0.57 (step @p73 :rule instantiate :premises (@p17) :args (@t42)) % 0.39/0.57 (step @p74 :rule cnf_or_pos :args (@t68)) % 0.39/0.57 (step @p75 :rule reordering :premises (@p74) :args ((or @t35 @t44 (not @t68)))) % 0.39/0.57 (step @p76 :rule chain_m_resolution :premises (@p75 @p67 @p73) :args (@t35 @t69 (@list @t43 @t68))) % 0.39/0.57 (step @p77 :rule cnf_or_pos :args (@t70)) % 0.39/0.57 (step @p78 :rule reordering :premises (@p77) :args ((or @t32 @t34 @t56 @t45 (not @t70)))) % 0.39/0.57 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p22 @p64 @p72) :args (@t32 (@list true false true false) (@list @t34 @t27 @t45 @t70))) % 0.39/0.57 (step @p80 :rule chain_m_resolution :premises (@p47 @p79 @p46) :args (@t37 (@list false true) (@list @t32 @t38))) % 0.39/0.57 (step @p81 :rule chain_m_resolution :premises (@p63 @p80 @p71 @p61) :args (@t30 (@list true true false) (@list @t36 @t39 @t64))) % 0.39/0.57 (step @p82 :rule cnf_or_pos :args (@t71)) % 0.39/0.57 (step @p83 :rule reordering :premises (@p82) :args ((or @t31 @t44 @t72))) % 0.39/0.57 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p67) :args (@t72 @t69 (@list @t30 @t43))) % 0.39/0.57 (assume-push @p91 @t22) % 0.39/0.57 (step @p86 :rule instantiate :premises (@p14) :args (@t42)) % 0.39/0.57 (step-pop @p92 :rule scope :premises (@p86)) % 0.39/0.57 (step @p87 :rule process_scope :premises (@p92) :args (@t71)) % 0.39/0.57 (step @p89 :rule implies_elim :premises (@p87)) % 0.39/0.57 (step @p90 false :rule chain_m_resolution :premises (@p89 @p84 @p14) :args (false @t66 (@list @t71 @t22))) % 0.39/0.57 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------