%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ025-1 : 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 : n002.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 0.40s 0.58s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ025-1 : TPTP v9.2.1. Released v1.0.0. % 0.14/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n002.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 13:12:48 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.58 % SZS status Unsatisfiable % 0.40/0.58 % SZS output start Proof % 0.40/0.58 ( % 0.40/0.58 (declare-sort $$unsorted 0) % 0.40/0.58 (declare-const tptp.a $$unsorted) % 0.40/0.58 (declare-const tptp.no $$unsorted) % 0.40/0.58 (declare-const tptp.answer (-> $$unsorted Bool)) % 0.40/0.58 (declare-const tptp.b $$unsorted) % 0.40/0.58 (declare-const tptp.people (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.40/0.58 (declare-const tptp.c $$unsorted) % 0.40/0.58 (declare-const tptp.equal_type (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.58 (declare-const tptp.ask_1_if_2 (-> $$unsorted $$unsorted Bool)) % 0.40/0.58 (declare-const tptp.says (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.58 (declare-const tptp.yes $$unsorted) % 0.40/0.58 (declare-const tptp.truthteller (-> $$unsorted $$unsorted)) % 0.40/0.58 (declare-const tptp.a_truth (-> $$unsorted Bool)) % 0.40/0.58 (declare-const tptp.liar (-> $$unsorted $$unsorted)) % 0.40/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.40/0.58 (define @t2 () (tptp.a_truth (tptp.liar @t1))) % 0.40/0.58 (define @t3 () (tptp.a_truth (tptp.truthteller @t1))) % 0.40/0.58 (define @t4 () (@list @t1)) % 0.40/0.58 (define @t5 () (not @t2)) % 0.40/0.58 (define @t6 () (not @t3)) % 0.40/0.58 (define @t7 () (@var "Statement" $$unsorted)) % 0.40/0.58 (define @t8 () (tptp.a_truth @t7)) % 0.40/0.58 (define @t9 () (@var "Truthteller" $$unsorted)) % 0.40/0.58 (define @t10 () (not (tptp.a_truth (tptp.says @t9 @t7)))) % 0.40/0.58 (define @t11 () (tptp.a_truth (tptp.truthteller @t9))) % 0.40/0.58 (define @t12 () (not @t8)) % 0.40/0.58 (define @t13 () (@var "Liar" $$unsorted)) % 0.40/0.58 (define @t14 () (not (tptp.a_truth (tptp.says @t13 @t7)))) % 0.40/0.58 (define @t15 () (tptp.a_truth (tptp.liar @t13))) % 0.40/0.58 (define @t16 () (@var "Y" $$unsorted)) % 0.40/0.58 (define @t17 () (tptp.a_truth (tptp.equal_type @t1 @t16))) % 0.40/0.58 (define @t18 () (tptp.a_truth (tptp.liar @t16))) % 0.40/0.58 (define @t19 () (@var "Z" $$unsorted)) % 0.40/0.58 (define @t20 () (not (tptp.people @t1 @t16 @t19))) % 0.40/0.58 (define @t21 () (@list @t1 @t16 @t19)) % 0.40/0.58 (define @t22 () (tptp.a_truth (tptp.truthteller @t16))) % 0.40/0.58 (define @t23 () (not @t17)) % 0.40/0.58 (define @t24 () (@list @t1 @t16)) % 0.40/0.58 (define @t25 () (tptp.answer tptp.yes)) % 0.40/0.58 (define @t26 () (tptp.a_truth @t16)) % 0.40/0.58 (define @t27 () (not @t26)) % 0.40/0.58 (define @t28 () (not (tptp.ask_1_if_2 @t1 @t16))) % 0.40/0.58 (define @t29 () (or @t28 @t6 @t27 @t25)) % 0.40/0.58 (define @t30 () (forall @t24 @t29)) % 0.40/0.58 (define @t31 () (tptp.answer tptp.no)) % 0.40/0.58 (define @t32 () (or @t28 @t5 @t26 @t25)) % 0.40/0.58 (define @t33 () (forall @t24 @t32)) % 0.40/0.58 (define @t34 () (tptp.equal_type tptp.b tptp.c)) % 0.40/0.58 (define @t35 () (tptp.a_truth (tptp.says tptp.a @t34))) % 0.40/0.58 (define @t36 () (tptp.equal_type tptp.a tptp.b)) % 0.40/0.58 (define @t37 () (tptp.ask_1_if_2 tptp.c @t36)) % 0.40/0.58 (define @t38 () (@var "Answer" $$unsorted)) % 0.40/0.58 (define @t39 () (forall (@list @t38) (not (tptp.answer @t38)))) % 0.40/0.58 (define @t40 () (or @t28 @t6 @t27)) % 0.40/0.58 (define @t41 () (forall @t24 @t40)) % 0.40/0.58 (define @t42 () (or @t25 @t40)) % 0.40/0.58 (define @t43 () (or @t28 @t5 @t26)) % 0.40/0.58 (define @t44 () (forall @t24 @t43)) % 0.40/0.58 (define @t45 () (or @t25 @t43)) % 0.40/0.58 (define @t46 () (@list tptp.c @t36)) % 0.40/0.58 (define @t47 () (tptp.a_truth @t36)) % 0.40/0.58 (define @t48 () (not @t47)) % 0.40/0.58 (define @t49 () (tptp.a_truth (tptp.truthteller tptp.c))) % 0.40/0.58 (define @t50 () (not @t49)) % 0.40/0.58 (define @t51 () (not @t37)) % 0.40/0.58 (define @t52 () (or @t51 @t50 @t48)) % 0.40/0.58 (define @t53 () (tptp.a_truth (tptp.liar tptp.c))) % 0.40/0.58 (define @t54 () (not @t53)) % 0.40/0.58 (define @t55 () (or @t51 @t54 @t47)) % 0.40/0.58 (define @t56 () (not @t55)) % 0.40/0.58 (define @t57 () (@list @t34 tptp.a)) % 0.40/0.58 (define @t58 () (tptp.a_truth (tptp.truthteller tptp.a))) % 0.40/0.58 (define @t59 () (not @t35)) % 0.40/0.58 (define @t60 () (tptp.a_truth @t34)) % 0.40/0.58 (define @t61 () (not @t60)) % 0.40/0.58 (define @t62 () (or @t61 @t59 @t58)) % 0.40/0.58 (define @t63 () (@list tptp.b tptp.c)) % 0.40/0.58 (define @t64 () (tptp.a_truth (tptp.liar tptp.b))) % 0.40/0.58 (define @t65 () (not @t64)) % 0.40/0.58 (define @t66 () (or @t61 @t65 @t53)) % 0.40/0.58 (define @t67 () (@list tptp.a tptp.b)) % 0.40/0.58 (define @t68 () (not @t58)) % 0.40/0.58 (define @t69 () (or @t68 @t47 @t64)) % 0.40/0.58 (define @t70 () (@list false true false false false false)) % 0.40/0.58 (define @t71 () (tptp.a_truth (tptp.liar tptp.a))) % 0.40/0.58 (define @t72 () (or @t60 @t59 @t71)) % 0.40/0.58 (define @t73 () (tptp.a_truth (tptp.truthteller tptp.b))) % 0.40/0.58 (define @t74 () (not @t73)) % 0.40/0.58 (define @t75 () (or @t74 @t60 @t53)) % 0.40/0.58 (define @t76 () (not @t71)) % 0.40/0.58 (define @t77 () (or @t76 @t47 @t73)) % 0.40/0.58 (define @t78 () (or @t65 @t60 @t49)) % 0.40/0.58 (define @t79 () (or @t48 @t76 @t64)) % 0.40/0.58 (define @t80 () (or @t61 @t74 @t49)) % 0.40/0.58 (define @t81 () (or @t48 @t68 @t73)) % 0.40/0.58 (define @t82 () (not @t25)) % 0.40/0.58 (assume @p1 (forall @t4 (or @t3 @t2))) % 0.40/0.58 (assume @p2 (forall @t4 (or @t6 @t5))) % 0.40/0.58 (assume @p3 (forall (@list @t9 @t7) (or (not @t11) @t10 @t8))) % 0.40/0.58 (assume @p4 (forall (@list @t13 @t7) (or (not @t15) @t14 @t12))) % 0.40/0.58 (assume @p5 (forall (@list @t7 @t9) (or @t12 @t10 @t11))) % 0.40/0.58 (assume @p6 (forall (@list @t7 @t13) (or @t8 @t14 @t15))) % 0.40/0.58 (assume @p7 (forall @t21 (or @t20 @t5 (not @t18) @t17))) % 0.40/0.58 (assume @p8 (forall @t21 (or @t20 @t6 (not @t22) @t17))) % 0.40/0.58 (assume @p9 (forall @t24 (or @t23 @t6 @t22))) % 0.40/0.58 (assume @p10 (forall @t24 (or @t23 @t5 @t18))) % 0.40/0.58 (assume @p11 (forall @t24 (or @t6 @t17 @t18))) % 0.40/0.58 (assume @p12 (forall @t24 (or @t5 @t17 @t22))) % 0.40/0.58 (assume @p13 (forall @t24 (or @t23 (tptp.a_truth (tptp.equal_type @t16 @t1))))) % 0.40/0.58 (assume @p14 @t30) % 0.40/0.58 (assume @p15 (forall @t24 (or @t28 @t6 @t26 @t31))) % 0.40/0.58 (assume @p16 (forall @t24 (or @t28 @t5 @t27 @t31))) % 0.40/0.58 (assume @p17 @t33) % 0.40/0.58 (assume @p18 (tptp.people tptp.b tptp.c tptp.a)) % 0.40/0.58 (assume @p19 (tptp.people tptp.a tptp.b tptp.a)) % 0.40/0.58 (assume @p20 (tptp.people tptp.a tptp.c tptp.b)) % 0.40/0.58 (assume @p21 (tptp.people tptp.c tptp.b tptp.a)) % 0.40/0.58 (assume @p22 @t35) % 0.40/0.58 (assume @p23 @t37) % 0.40/0.58 (assume @p24 @t39) % 0.40/0.58 (step @p25 :rule quant-miniscope-or :args ((= (forall @t24 @t42) (or @t25 @t41)))) % 0.40/0.58 (step @p26 :rule aci_norm :args ((= @t29 @t42))) % 0.40/0.58 (step @p27 :rule cong :premises (@p26) :args (@t30)) % 0.40/0.58 (step @p28 :rule trans :premises (@p27 @p25)) % 0.40/0.58 (step @p29 :rule eq_resolve :premises (@p14 @p28)) % 0.40/0.58 (step @p30 :rule quant-miniscope-or :args ((= (forall @t24 @t45) (or @t25 @t44)))) % 0.40/0.58 (step @p31 :rule aci_norm :args ((= @t32 @t45))) % 0.40/0.58 (step @p32 :rule cong :premises (@p31) :args (@t33)) % 0.40/0.58 (step @p33 :rule trans :premises (@p32 @p30)) % 0.40/0.58 (step @p34 :rule eq_resolve :premises (@p17 @p33)) % 0.40/0.58 (assume-push @p90 @t41) % 0.40/0.58 (step @p36 :rule instantiate :premises (@p90) :args (@t46)) % 0.40/0.58 (step-pop @p91 :rule scope :premises (@p36)) % 0.40/0.58 (step @p37 :rule process_scope :premises (@p91) :args (@t52)) % 0.40/0.58 (step @p39 :rule implies_elim :premises (@p37)) % 0.40/0.58 (assume-push @p92 @t44) % 0.40/0.58 (step @p41 :rule instantiate :premises (@p92) :args (@t46)) % 0.40/0.58 (step-pop @p93 :rule scope :premises (@p41)) % 0.40/0.58 (step @p42 :rule process_scope :premises (@p93) :args (@t55)) % 0.40/0.58 (step @p44 :rule implies_elim :premises (@p42)) % 0.40/0.58 (step @p45 :rule cnf_or_pos :args (@t55)) % 0.40/0.58 (step @p46 :rule reordering :premises (@p45) :args ((or @t51 @t54 @t47 @t56))) % 0.40/0.58 (step @p47 :rule instantiate :premises (@p5) :args (@t57)) % 0.40/0.58 (step @p48 :rule cnf_or_pos :args (@t62)) % 0.40/0.58 (step @p49 :rule reordering :premises (@p48) :args ((or @t59 @t58 @t61 (not @t62)))) % 0.40/0.58 (step @p50 :rule instantiate :premises (@p10) :args (@t63)) % 0.40/0.58 (step @p51 :rule cnf_or_pos :args (@t66)) % 0.40/0.58 (step @p52 :rule reordering :premises (@p51) :args ((or @t61 @t65 @t53 (not @t66)))) % 0.40/0.58 (step @p53 :rule instantiate :premises (@p11) :args (@t67)) % 0.40/0.58 (step @p54 :rule cnf_or_pos :args (@t69)) % 0.40/0.58 (step @p55 :rule reordering :premises (@p54) :args ((or @t68 @t64 @t47 (not @t69)))) % 0.40/0.58 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p52 @p50 @p49 @p47 @p22) :args ((or @t61 @t53 @t47) @t70 (@list @t69 @t64 @t66 @t58 @t62 @t35))) % 0.40/0.58 (step @p57 :rule instantiate :premises (@p6) :args (@t57)) % 0.40/0.58 (step @p58 :rule cnf_or_pos :args (@t72)) % 0.40/0.58 (step @p59 :rule reordering :premises (@p58) :args ((or @t59 @t60 @t71 (not @t72)))) % 0.40/0.58 (step @p60 :rule instantiate :premises (@p11) :args (@t63)) % 0.40/0.58 (step @p61 :rule cnf_or_pos :args (@t75)) % 0.40/0.58 (step @p62 :rule reordering :premises (@p61) :args ((or @t60 @t53 @t74 (not @t75)))) % 0.40/0.58 (step @p63 :rule instantiate :premises (@p12) :args (@t67)) % 0.40/0.58 (step @p64 :rule cnf_or_pos :args (@t77)) % 0.40/0.58 (step @p65 :rule reordering :premises (@p64) :args ((or @t76 @t47 @t73 (not @t77)))) % 0.40/0.58 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p62 @p60 @p59 @p57 @p22 @p56 @p46 @p23) :args ((or @t47 @t56) (@list false true false false false false true true false) (@list @t77 @t73 @t75 @t71 @t72 @t35 @t60 @t53 @t37))) % 0.40/0.58 (step @p67 :rule cnf_or_pos :args (@t52)) % 0.40/0.58 (step @p68 :rule reordering :premises (@p67) :args ((or @t51 @t50 @t48 (not @t52)))) % 0.40/0.58 (step @p69 :rule instantiate :premises (@p12) :args (@t63)) % 0.40/0.58 (step @p70 :rule cnf_or_pos :args (@t78)) % 0.40/0.58 (step @p71 :rule reordering :premises (@p70) :args ((or @t60 @t65 @t49 (not @t78)))) % 0.40/0.58 (step @p72 :rule instantiate :premises (@p10) :args (@t67)) % 0.40/0.58 (step @p73 :rule cnf_or_pos :args (@t79)) % 0.40/0.58 (step @p74 :rule reordering :premises (@p73) :args ((or @t76 @t64 @t48 (not @t79)))) % 0.40/0.58 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p71 @p69 @p59 @p57 @p22) :args ((or @t60 @t49 @t48) @t70 (@list @t79 @t64 @t78 @t71 @t72 @t35))) % 0.40/0.58 (step @p76 :rule instantiate :premises (@p9) :args (@t63)) % 0.40/0.58 (step @p77 :rule cnf_or_pos :args (@t80)) % 0.40/0.58 (step @p78 :rule reordering :premises (@p77) :args ((or @t61 @t74 @t49 (not @t80)))) % 0.40/0.58 (step @p79 :rule instantiate :premises (@p9) :args (@t67)) % 0.40/0.58 (step @p80 :rule cnf_or_pos :args (@t81)) % 0.40/0.58 (step @p81 :rule reordering :premises (@p80) :args ((or @t68 @t73 @t48 (not @t81)))) % 0.40/0.58 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p78 @p76 @p49 @p47 @p22 @p75 @p68 @p23 @p66 @p44 @p39 @p34 @p29) :args (@t25 (@list false true false false false false false true false false false false false false) (@list @t81 @t73 @t80 @t58 @t62 @t35 @t60 @t49 @t37 @t47 @t55 @t52 @t44 @t41))) % 0.40/0.58 (assume-push @p94 @t39) % 0.40/0.58 (step @p84 :rule instantiate :premises (@p24) :args ((@list tptp.yes))) % 0.40/0.58 (step-pop @p95 :rule scope :premises (@p84)) % 0.40/0.58 (step @p85 :rule process_scope :premises (@p95) :args (@t82)) % 0.40/0.58 (step @p87 :rule implies_elim :premises (@p85)) % 0.40/0.58 (step @p88 :rule reordering :premises (@p87) :args ((or @t82 (not @t39)))) % 0.40/0.58 (step @p89 false :rule chain_m_resolution :premises (@p88 @p82 @p24) :args (false (@list false false) (@list @t25 @t39))) % 0.40/0.58 ) % 0.40/0.58 % SZS output end Proof % 0.40/0.58 % cvc5 exiting %------------------------------------------------------------------------------