%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ026-1 : 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 : n022.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 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ026-1 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.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 13:12:38 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Unsatisfiable % 0.38/0.56 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.c $$unsorted) % 0.38/0.57 (declare-const tptp.b $$unsorted) % 0.38/0.57 (declare-const tptp.not_normal (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.a $$unsorted) % 0.38/0.57 (declare-const tptp.says (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.truthteller (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.liar (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.a_truth (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.people (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.normal (-> $$unsorted $$unsorted)) % 0.38/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t2 () (tptp.a_truth (tptp.normal @t1))) % 0.38/0.57 (define @t3 () (tptp.a_truth (tptp.liar @t1))) % 0.38/0.57 (define @t4 () (tptp.a_truth (tptp.truthteller @t1))) % 0.38/0.57 (define @t5 () (@list @t1)) % 0.38/0.57 (define @t6 () (not @t2)) % 0.38/0.57 (define @t7 () (not @t4)) % 0.38/0.57 (define @t8 () (not @t3)) % 0.38/0.57 (define @t9 () (@var "Y" $$unsorted)) % 0.38/0.57 (define @t10 () (tptp.a_truth @t9)) % 0.38/0.57 (define @t11 () (not (tptp.a_truth (tptp.says @t1 @t9)))) % 0.38/0.57 (define @t12 () (@list @t1 @t9)) % 0.38/0.57 (define @t13 () (tptp.a_truth (tptp.normal @t9))) % 0.38/0.57 (define @t14 () (tptp.a_truth (tptp.truthteller @t9))) % 0.38/0.57 (define @t15 () (not (tptp.a_truth (tptp.says @t9 @t1)))) % 0.38/0.57 (define @t16 () (tptp.a_truth @t1)) % 0.38/0.57 (define @t17 () (tptp.a_truth (tptp.liar @t9))) % 0.38/0.57 (define @t18 () (tptp.a_truth (tptp.not_normal @t1))) % 0.38/0.57 (define @t19 () (@var "Z" $$unsorted)) % 0.38/0.57 (define @t20 () (not (tptp.people @t1 @t9 @t19))) % 0.38/0.57 (define @t21 () (@list @t1 @t9 @t19)) % 0.38/0.57 (define @t22 () (tptp.people tptp.a tptp.b tptp.c)) % 0.38/0.57 (define @t23 () (tptp.people tptp.b tptp.c tptp.a)) % 0.38/0.57 (define @t24 () (tptp.normal tptp.a)) % 0.38/0.57 (define @t25 () (tptp.a_truth (tptp.says tptp.a @t24))) % 0.38/0.57 (define @t26 () (tptp.a_truth (tptp.says tptp.b @t24))) % 0.38/0.57 (define @t27 () (tptp.not_normal tptp.c)) % 0.38/0.57 (define @t28 () (tptp.a_truth (tptp.says tptp.c @t27))) % 0.38/0.57 (define @t29 () (@var "Truthteller" $$unsorted)) % 0.38/0.57 (define @t30 () (not (tptp.a_truth (tptp.truthteller @t29)))) % 0.38/0.57 (define @t31 () (@var "Normal" $$unsorted)) % 0.38/0.57 (define @t32 () (not (tptp.a_truth (tptp.normal @t31)))) % 0.38/0.57 (define @t33 () (@var "Liar" $$unsorted)) % 0.38/0.57 (define @t34 () (not (tptp.a_truth (tptp.liar @t33)))) % 0.38/0.57 (define @t35 () (forall (@list @t33 @t31 @t29) (or @t34 @t32 @t30))) % 0.38/0.57 (define @t36 () (@list @t24 tptp.b)) % 0.38/0.57 (define @t37 () (@list tptp.a tptp.b tptp.c)) % 0.38/0.57 (define @t38 () (tptp.a_truth (tptp.normal tptp.b))) % 0.38/0.57 (define @t39 () (not @t38)) % 0.38/0.57 (define @t40 () (tptp.a_truth @t24)) % 0.38/0.57 (define @t41 () (not @t40)) % 0.38/0.57 (define @t42 () (not @t22)) % 0.38/0.57 (define @t43 () (or @t42 @t41 @t39)) % 0.38/0.57 (define @t44 () (tptp.a_truth (tptp.normal tptp.c))) % 0.38/0.57 (define @t45 () (not @t44)) % 0.38/0.57 (define @t46 () (or @t42 @t41 @t45)) % 0.38/0.57 (define @t47 () (tptp.a_truth (tptp.truthteller tptp.b))) % 0.38/0.57 (define @t48 () (not @t26)) % 0.38/0.57 (define @t49 () (or @t41 @t48 @t47 @t38)) % 0.38/0.57 (define @t50 () (@list tptp.c)) % 0.38/0.57 (define @t51 () (tptp.a_truth @t27)) % 0.38/0.57 (define @t52 () (or @t51 @t44)) % 0.38/0.57 (define @t53 () (@list tptp.b tptp.c tptp.a)) % 0.38/0.57 (define @t54 () (tptp.a_truth (tptp.truthteller tptp.c))) % 0.38/0.57 (define @t55 () (not @t54)) % 0.38/0.57 (define @t56 () (not @t47)) % 0.38/0.57 (define @t57 () (not @t23)) % 0.38/0.57 (define @t58 () (or @t57 @t56 @t55)) % 0.38/0.57 (define @t59 () (not @t28)) % 0.38/0.57 (define @t60 () (not @t51)) % 0.38/0.57 (define @t61 () (or @t60 @t59 @t54 @t44)) % 0.38/0.57 (define @t62 () (tptp.a_truth (tptp.liar tptp.a))) % 0.38/0.57 (define @t63 () (not @t25)) % 0.38/0.57 (define @t64 () (or @t40 @t63 @t62 @t40)) % 0.38/0.57 (define @t65 () (tptp.a_truth (tptp.liar tptp.b))) % 0.38/0.57 (define @t66 () (not @t65)) % 0.38/0.57 (define @t67 () (not @t62)) % 0.38/0.57 (define @t68 () (or @t42 @t67 @t66)) % 0.38/0.57 (define @t69 () (@list false false false)) % 0.38/0.57 (define @t70 () (or @t40 @t48 @t65 @t38)) % 0.38/0.57 (define @t71 () (or @t57 @t39 @t45)) % 0.38/0.57 (define @t72 () (forall (@list @t29) @t30)) % 0.38/0.57 (define @t73 () (@list false)) % 0.38/0.57 (define @t74 () (forall (@list @t33) @t34)) % 0.38/0.57 (define @t75 () (forall (@list @t31) @t32)) % 0.38/0.57 (assume @p1 (forall @t5 (or @t4 @t3 @t2))) % 0.38/0.57 (assume @p2 (forall @t5 (or @t7 @t6))) % 0.38/0.57 (assume @p3 (forall @t5 (or @t7 @t8))) % 0.38/0.57 (assume @p4 (forall @t5 (or @t8 @t6))) % 0.38/0.57 (assume @p5 (forall @t12 (or @t7 @t11 @t10))) % 0.38/0.57 (assume @p6 (forall @t12 (or @t8 @t11 (not @t10)))) % 0.38/0.57 (assume @p7 (forall @t12 (or (not @t16) @t15 @t14 @t13))) % 0.38/0.57 (assume @p8 (forall @t12 (or @t16 @t15 @t17 @t13))) % 0.38/0.57 (assume @p9 (forall @t5 (or (not @t18) @t6))) % 0.38/0.57 (assume @p10 (forall @t5 (or @t18 @t2))) % 0.38/0.57 (assume @p11 (forall @t21 (or @t20 @t7 (not @t14)))) % 0.38/0.57 (assume @p12 (forall @t21 (or @t20 @t7 (not (tptp.a_truth (tptp.truthteller @t19)))))) % 0.38/0.57 (assume @p13 (forall @t21 (or @t20 @t8 (not @t17)))) % 0.38/0.57 (assume @p14 (forall @t21 (or @t20 @t8 (not (tptp.a_truth (tptp.liar @t19)))))) % 0.38/0.57 (assume @p15 (forall @t21 (or @t20 @t6 (not @t13)))) % 0.38/0.57 (assume @p16 (forall @t21 (or @t20 @t6 (not (tptp.a_truth (tptp.normal @t19)))))) % 0.38/0.57 (assume @p17 @t22) % 0.38/0.57 (assume @p18 @t23) % 0.38/0.57 (assume @p19 (tptp.people tptp.c tptp.b tptp.a)) % 0.38/0.57 (assume @p20 @t25) % 0.38/0.57 (assume @p21 @t26) % 0.38/0.57 (assume @p22 @t28) % 0.38/0.57 (assume @p23 @t35) % 0.38/0.57 (step @p24 :rule instantiate :premises (@p8) :args (@t36)) % 0.38/0.57 (step @p25 :rule instantiate :premises (@p13) :args (@t37)) % 0.38/0.57 (step @p26 :rule instantiate :premises (@p8) :args ((@list @t24 tptp.a))) % 0.38/0.57 (step @p27 :rule instantiate :premises (@p15) :args (@t37)) % 0.38/0.57 (step @p28 :rule cnf_or_pos :args (@t43)) % 0.38/0.57 (step @p29 :rule reordering :premises (@p28) :args ((or @t42 @t41 @t39 (not @t43)))) % 0.38/0.57 (step @p30 :rule instantiate :premises (@p16) :args (@t37)) % 0.38/0.57 (step @p31 :rule cnf_or_pos :args (@t46)) % 0.38/0.57 (step @p32 :rule reordering :premises (@p31) :args ((or @t42 @t41 @t45 (not @t46)))) % 0.38/0.57 (step @p33 :rule instantiate :premises (@p7) :args (@t36)) % 0.38/0.57 (step @p34 :rule cnf_or_pos :args (@t49)) % 0.38/0.57 (step @p35 :rule reordering :premises (@p34) :args ((or @t48 @t41 @t47 @t38 (not @t49)))) % 0.38/0.57 (step @p36 :rule instantiate :premises (@p10) :args (@t50)) % 0.38/0.57 (step @p37 :rule cnf_or_pos :args (@t52)) % 0.38/0.57 (step @p38 :rule reordering :premises (@p37) :args ((or @t51 @t44 (not @t52)))) % 0.38/0.57 (step @p39 :rule instantiate :premises (@p11) :args (@t53)) % 0.38/0.57 (step @p40 :rule cnf_or_pos :args (@t58)) % 0.38/0.57 (step @p41 :rule reordering :premises (@p40) :args ((or @t57 @t56 @t55 (not @t58)))) % 0.38/0.57 (step @p42 :rule instantiate :premises (@p7) :args ((@list @t27 tptp.c))) % 0.38/0.57 (step @p43 :rule cnf_or_pos :args (@t61)) % 0.38/0.57 (step @p44 :rule reordering :premises (@p43) :args ((or @t59 @t54 @t60 @t44 (not @t61)))) % 0.38/0.57 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p22 @p41 @p39 @p18 @p38 @p36 @p35 @p33 @p21 @p32 @p30 @p17 @p29 @p27 @p17) :args (@t41 (@list false false true false false false false false false false true false false true false false) (@list @t61 @t28 @t54 @t58 @t23 @t51 @t52 @t47 @t49 @t26 @t44 @t46 @t22 @t38 @t43 @t22))) % 0.38/0.57 (step @p46 :rule cnf_or_pos :args (@t64)) % 0.38/0.57 (step @p47 :rule factoring :premises (@p46)) % 0.38/0.57 (step @p48 :rule reordering :premises (@p47) :args ((or @t63 @t62 @t40 (not @t64)))) % 0.38/0.57 (step @p49 :rule chain_m_resolution :premises (@p48 @p20 @p45 @p26) :args (@t62 (@list false true false) (@list @t25 @t40 @t64))) % 0.38/0.57 (step @p50 :rule cnf_or_pos :args (@t68)) % 0.38/0.57 (step @p51 :rule reordering :premises (@p50) :args ((or @t42 @t67 @t66 (not @t68)))) % 0.38/0.57 (step @p52 :rule chain_m_resolution :premises (@p51 @p17 @p49 @p25) :args (@t66 @t69 (@list @t22 @t62 @t68))) % 0.38/0.57 (step @p53 :rule cnf_or_pos :args (@t70)) % 0.38/0.57 (step @p54 :rule reordering :premises (@p53) :args ((or @t48 @t40 @t65 @t38 (not @t70)))) % 0.38/0.57 (step @p55 :rule chain_m_resolution :premises (@p54 @p21 @p45 @p52 @p24) :args (@t38 (@list false true true false) (@list @t26 @t40 @t65 @t70))) % 0.38/0.57 (step @p56 :rule instantiate :premises (@p15) :args (@t53)) % 0.38/0.57 (step @p57 :rule cnf_or_pos :args (@t71)) % 0.38/0.57 (step @p58 :rule reordering :premises (@p57) :args ((or @t57 @t45 @t39 (not @t71)))) % 0.38/0.57 (step @p59 :rule chain_m_resolution :premises (@p58 @p18 @p55 @p56) :args (@t45 @t69 (@list @t23 @t38 @t71))) % 0.38/0.57 (step @p60 :rule chain_m_resolution :premises (@p38 @p59 @p36) :args (@t51 (@list true false) (@list @t44 @t52))) % 0.38/0.57 (step @p61 :rule chain_m_resolution :premises (@p44 @p22 @p60 @p59 @p42) :args (@t54 (@list false false true false) (@list @t28 @t51 @t44 @t61))) % 0.38/0.57 (assume-push @p83 @t72) % 0.38/0.57 (step @p63 :rule instantiate :premises (@p83) :args (@t50)) % 0.38/0.57 (step-pop @p84 :rule scope :premises (@p63)) % 0.38/0.57 (step @p64 :rule process_scope :premises (@p84) :args (@t55)) % 0.38/0.57 (step @p66 :rule implies_elim :premises (@p64)) % 0.38/0.57 (step @p67 :rule chain_m_resolution :premises (@p66 @p61) :args ((not @t72) @t73 (@list @t54))) % 0.38/0.57 (assume-push @p85 @t74) % 0.38/0.57 (step @p69 :rule instantiate :premises (@p85) :args ((@list tptp.a))) % 0.38/0.57 (step-pop @p86 :rule scope :premises (@p69)) % 0.38/0.57 (step @p70 :rule process_scope :premises (@p86) :args (@t67)) % 0.38/0.57 (step @p72 :rule implies_elim :premises (@p70)) % 0.38/0.57 (step @p73 :rule chain_m_resolution :premises (@p72 @p49) :args ((not @t74) @t73 (@list @t62))) % 0.38/0.57 (step @p74 :rule quant-miniscope-or :args ((= @t35 (or @t74 @t75 @t72)))) % 0.38/0.57 (step @p75 :rule eq_resolve :premises (@p23 @p74)) % 0.38/0.57 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p67) :args (@t75 (@list true true) (@list @t74 @t72))) % 0.38/0.57 (assume-push @p87 @t75) % 0.38/0.57 (step @p78 :rule instantiate :premises (@p87) :args ((@list tptp.b))) % 0.38/0.57 (step-pop @p88 :rule scope :premises (@p78)) % 0.38/0.57 (step @p79 :rule process_scope :premises (@p88) :args (@t39)) % 0.38/0.57 (step @p81 :rule implies_elim :premises (@p79)) % 0.38/0.57 (step @p82 false :rule chain_m_resolution :premises (@p81 @p76 @p55) :args (false (@list false false) (@list @t75 @t38))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------