%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ024-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:43:58 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ024-1 : TPTP v9.2.1. Released v1.0.0. % 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 : n018.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 13:12:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Unsatisfiable % 0.37/0.56 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.b $$unsorted) % 0.37/0.57 (declare-const tptp.c $$unsorted) % 0.37/0.57 (declare-const tptp.a $$unsorted) % 0.37/0.57 (declare-const tptp.people (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.says (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.all_are_liars $$unsorted) % 0.37/0.57 (declare-const tptp.truthteller (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.a_truth (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.one_truthteller $$unsorted) % 0.37/0.57 (declare-const tptp.liar (-> $$unsorted $$unsorted)) % 0.37/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.57 (define @t2 () (tptp.a_truth (tptp.liar @t1))) % 0.37/0.57 (define @t3 () (tptp.a_truth (tptp.truthteller @t1))) % 0.37/0.57 (define @t4 () (@list @t1)) % 0.37/0.57 (define @t5 () (not @t2)) % 0.37/0.57 (define @t6 () (not @t3)) % 0.37/0.57 (define @t7 () (@var "Statement" $$unsorted)) % 0.37/0.57 (define @t8 () (tptp.a_truth @t7)) % 0.37/0.57 (define @t9 () (@var "Truthteller" $$unsorted)) % 0.37/0.57 (define @t10 () (not (tptp.a_truth (tptp.says @t9 @t7)))) % 0.37/0.57 (define @t11 () (tptp.a_truth (tptp.truthteller @t9))) % 0.37/0.57 (define @t12 () (not @t11)) % 0.37/0.57 (define @t13 () (not @t8)) % 0.37/0.57 (define @t14 () (@var "Liar" $$unsorted)) % 0.37/0.57 (define @t15 () (not (tptp.a_truth (tptp.says @t14 @t7)))) % 0.37/0.57 (define @t16 () (tptp.a_truth (tptp.liar @t14))) % 0.37/0.57 (define @t17 () (@var "Z" $$unsorted)) % 0.37/0.57 (define @t18 () (tptp.a_truth (tptp.truthteller @t17))) % 0.37/0.57 (define @t19 () (not @t18)) % 0.37/0.57 (define @t20 () (@var "Y" $$unsorted)) % 0.37/0.57 (define @t21 () (tptp.a_truth (tptp.truthteller @t20))) % 0.37/0.57 (define @t22 () (not @t21)) % 0.37/0.57 (define @t23 () (not (tptp.people @t1 @t20 @t17))) % 0.37/0.57 (define @t24 () (@list @t1 @t20 @t17)) % 0.37/0.57 (define @t25 () (tptp.a_truth tptp.one_truthteller)) % 0.37/0.57 (define @t26 () (not @t25)) % 0.37/0.57 (define @t27 () (tptp.a_truth (tptp.liar @t17))) % 0.37/0.57 (define @t28 () (tptp.a_truth tptp.all_are_liars)) % 0.37/0.57 (define @t29 () (or @t28 @t23 @t3 @t21 @t18)) % 0.37/0.57 (define @t30 () (forall @t24 @t29)) % 0.37/0.57 (define @t31 () (tptp.people tptp.b tptp.c tptp.a)) % 0.37/0.57 (define @t32 () (tptp.people tptp.a tptp.c tptp.b)) % 0.37/0.57 (define @t33 () (tptp.a_truth (tptp.says tptp.a tptp.all_are_liars))) % 0.37/0.57 (define @t34 () (@list tptp.a tptp.c tptp.b)) % 0.37/0.57 (define @t35 () (tptp.a_truth (tptp.truthteller tptp.a))) % 0.37/0.57 (define @t36 () (not @t35)) % 0.37/0.57 (define @t37 () (not @t32)) % 0.37/0.57 (define @t38 () (not @t33)) % 0.37/0.57 (define @t39 () (or @t38 @t37 @t36)) % 0.37/0.57 (define @t40 () (tptp.a_truth (tptp.liar tptp.a))) % 0.37/0.57 (define @t41 () (or @t35 @t40)) % 0.37/0.57 (define @t42 () (not @t28)) % 0.37/0.57 (define @t43 () (or @t42 @t38 @t35)) % 0.37/0.57 (define @t44 () (or @t23 @t3 @t21 @t18)) % 0.37/0.57 (define @t45 () (forall @t24 @t44)) % 0.37/0.57 (define @t46 () (or @t28 @t44)) % 0.37/0.57 (define @t47 () (@list true)) % 0.37/0.57 (define @t48 () (tptp.a_truth (tptp.truthteller tptp.c))) % 0.37/0.57 (define @t49 () (tptp.a_truth (tptp.truthteller tptp.b))) % 0.37/0.57 (define @t50 () (not @t31)) % 0.37/0.57 (define @t51 () (or @t50 @t49 @t48 @t35)) % 0.37/0.57 (define @t52 () (not @t48)) % 0.37/0.57 (define @t53 () (not @t40)) % 0.37/0.57 (define @t54 () (or @t37 @t53 @t52 @t49)) % 0.37/0.57 (define @t55 () (not @t54)) % 0.37/0.57 (define @t56 () (forall @t24 (or @t23 @t5 @t22 @t18))) % 0.37/0.57 (define @t57 () (@quantifiers_skolemize @t56 1)) % 0.37/0.57 (define @t58 () (tptp.a_truth (tptp.truthteller @t57))) % 0.37/0.57 (define @t59 () (@quantifiers_skolemize @t56 2)) % 0.37/0.57 (define @t60 () (not @t58)) % 0.37/0.57 (define @t61 () (@quantifiers_skolemize @t56 0)) % 0.37/0.57 (define @t62 () (or (not (tptp.people @t61 @t57 @t59)) (not (tptp.a_truth (tptp.liar @t61))) @t60 (tptp.a_truth (tptp.truthteller @t59)))) % 0.37/0.57 (define @t63 () (not @t62)) % 0.37/0.57 (define @t64 () (not @t56)) % 0.37/0.57 (assume @p1 (forall @t4 (or @t3 @t2))) % 0.37/0.57 (assume @p2 (forall @t4 (or @t6 @t5))) % 0.37/0.57 (assume @p3 (forall (@list @t9 @t7) (or @t12 @t10 @t8))) % 0.37/0.57 (assume @p4 (forall (@list @t14 @t7) (or (not @t16) @t15 @t13))) % 0.37/0.57 (assume @p5 (forall (@list @t7 @t9) (or @t13 @t10 @t11))) % 0.37/0.57 (assume @p6 (forall (@list @t7 @t14) (or @t8 @t15 @t16))) % 0.37/0.57 (assume @p7 (forall @t24 (or (not (tptp.a_truth (tptp.says @t1 tptp.one_truthteller))) @t23 @t6 @t22 @t19))) % 0.37/0.57 (assume @p8 (forall @t24 (or @t26 @t23 @t3 @t21 @t18))) % 0.37/0.57 (assume @p9 (forall @t24 (or @t26 @t23 @t22 @t6 @t19))) % 0.37/0.57 (assume @p10 (forall @t24 (or @t26 @t23 @t5 @t22 @t27))) % 0.37/0.57 (assume @p11 (forall @t24 (or @t25 @t23 @t5 @t22 @t18))) % 0.37/0.57 (assume @p12 (forall @t24 (or @t25 @t23 @t5 (not (tptp.a_truth (tptp.liar @t20))) @t27))) % 0.37/0.57 (assume @p13 (forall @t24 (or (not (tptp.a_truth (tptp.says @t1 tptp.all_are_liars))) @t23 @t6))) % 0.37/0.57 (assume @p14 @t30) % 0.37/0.57 (assume @p15 @t31) % 0.37/0.57 (assume @p16 @t32) % 0.37/0.57 (assume @p17 (tptp.people tptp.c tptp.b tptp.a)) % 0.37/0.57 (assume @p18 @t33) % 0.37/0.57 (assume @p19 (tptp.a_truth (tptp.says tptp.b tptp.one_truthteller))) % 0.37/0.57 (assume @p20 (forall (@list @t9) @t12)) % 0.37/0.57 (step @p21 :rule instantiate :premises (@p1) :args ((@list tptp.a))) % 0.37/0.57 (step @p22 :rule instantiate :premises (@p13) :args (@t34)) % 0.37/0.57 (step @p23 :rule cnf_or_pos :args (@t39)) % 0.37/0.57 (step @p24 :rule reordering :premises (@p23) :args ((or @t37 @t38 @t36 (not @t39)))) % 0.37/0.57 (step @p25 :rule chain_m_resolution :premises (@p24 @p16 @p18 @p22) :args (@t36 (@list false false false) (@list @t32 @t33 @t39))) % 0.37/0.57 (step @p26 :rule cnf_or_pos :args (@t41)) % 0.37/0.57 (step @p27 :rule reordering :premises (@p26) :args ((or @t35 @t40 (not @t41)))) % 0.37/0.57 (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p21) :args (@t40 (@list true false) (@list @t35 @t41))) % 0.37/0.57 (step @p29 :rule instantiate :premises (@p5) :args ((@list tptp.all_are_liars tptp.a))) % 0.37/0.57 (step @p30 :rule cnf_or_pos :args (@t43)) % 0.37/0.57 (step @p31 :rule reordering :premises (@p30) :args ((or @t42 @t38 @t35 (not @t43)))) % 0.37/0.57 (step @p32 :rule chain_m_resolution :premises (@p31 @p18 @p25 @p29) :args (@t42 (@list false true false) (@list @t33 @t35 @t43))) % 0.37/0.57 (step @p33 :rule quant-miniscope-or :args ((= (forall @t24 @t46) (or @t28 @t45)))) % 0.37/0.57 (step @p34 :rule aci_norm :args ((= @t29 @t46))) % 0.37/0.57 (step @p35 :rule cong :premises (@p34) :args (@t30)) % 0.37/0.57 (step @p36 :rule trans :premises (@p35 @p33)) % 0.37/0.57 (step @p37 :rule eq_resolve :premises (@p14 @p36)) % 0.37/0.57 (step @p38 :rule chain_m_resolution :premises (@p37 @p32) :args (@t45 @t47 (@list @t28))) % 0.37/0.57 (step @p39 :rule instantiate :premises (@p38) :args ((@list tptp.b tptp.c tptp.a))) % 0.37/0.57 (step @p40 :rule instantiate :premises (@p20) :args ((@list tptp.b))) % 0.37/0.57 (step @p41 :rule cnf_or_pos :args (@t51)) % 0.37/0.57 (step @p42 :rule reordering :premises (@p41) :args ((or @t50 @t49 @t35 @t48 (not @t51)))) % 0.37/0.57 (step @p43 :rule chain_m_resolution :premises (@p42 @p15 @p40 @p25 @p39) :args (@t48 (@list false true true false) (@list @t31 @t49 @t35 @t51))) % 0.37/0.57 (step @p44 :rule cnf_or_pos :args (@t54)) % 0.37/0.57 (step @p45 :rule reordering :premises (@p44) :args ((or @t37 @t49 @t52 @t53 @t55))) % 0.37/0.57 (step @p46 :rule chain_m_resolution :premises (@p45 @p16 @p40 @p43 @p28) :args (@t55 (@list false true false false) (@list @t32 @t49 @t48 @t40))) % 0.37/0.57 (step @p47 :rule instantiate :premises (@p20) :args ((@list @t57))) % 0.37/0.57 (step @p48 :rule bool-double-not-elim :args (@t58)) % 0.37/0.57 (step @p49 :rule refl :args (@t62)) % 0.37/0.57 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t62 (not @t60)))) % 0.37/0.57 (step @p51 :rule cnf_or_neg :args (@t62 2)) % 0.37/0.57 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 0.37/0.57 (step @p53 :rule reordering :premises (@p52) :args ((or @t58 @t62))) % 0.37/0.57 (step @p54 :rule chain_m_resolution :premises (@p53 @p47) :args (@t62 @t47 (@list @t58))) % 0.37/0.57 (step @p55 :rule refl :args (@t63)) % 0.37/0.57 (step @p56 :rule bool-double-not-elim :args (@t56)) % 0.37/0.57 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or (not @t64) @t63))) % 0.37/0.57 (assume-push @p71 @t64) % 0.37/0.57 (step @p59 :rule skolemize :premises (@p71)) % 0.37/0.57 (step-pop @p72 :rule scope :premises (@p59)) % 0.37/0.57 (step @p60 :rule process_scope :premises (@p72) :args (@t63)) % 0.37/0.57 (step @p62 :rule implies_elim :premises (@p60)) % 0.37/0.57 (step @p63 :rule eq_resolve :premises (@p62 @p57)) % 0.37/0.57 (step @p64 :rule chain_m_resolution :premises (@p63 @p54) :args (@t56 (@list false) (@list @t62))) % 0.37/0.57 (assume-push @p73 @t56) % 0.37/0.57 (step @p66 :rule instantiate :premises (@p73) :args (@t34)) % 0.37/0.57 (step-pop @p74 :rule scope :premises (@p66)) % 0.37/0.57 (step @p67 :rule process_scope :premises (@p74) :args (@t54)) % 0.37/0.57 (step @p69 :rule implies_elim :premises (@p67)) % 0.37/0.57 (step @p70 false :rule chain_m_resolution :premises (@p69 @p64 @p46) :args (false (@list false true) (@list @t56 @t54))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------