%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ007-1 : 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 : n011.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 08:43:55 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ007-1 : 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 : n011.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 13:11:50 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... % 0.36/0.56 % SZS status Unsatisfiable % 0.36/0.56 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.a $$unsorted) % 0.36/0.57 (declare-const tptp.a_from_mars $$unsorted) % 0.36/0.57 (declare-const tptp.says (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.a_truth (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.truthteller (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.liar (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.male (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.female (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.b $$unsorted) % 0.36/0.57 (declare-const tptp.statement_by (-> $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.from_mars (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.a_has_lied $$unsorted) % 0.36/0.57 (declare-const tptp.from_venus (-> $$unsorted Bool)) % 0.36/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.36/0.57 (define @t2 () (tptp.from_venus @t1)) % 0.36/0.57 (define @t3 () (tptp.from_mars @t1)) % 0.36/0.57 (define @t4 () (@list @t1)) % 0.36/0.57 (define @t5 () (not @t2)) % 0.36/0.57 (define @t6 () (not @t3)) % 0.36/0.57 (define @t7 () (tptp.female @t1)) % 0.36/0.57 (define @t8 () (tptp.male @t1)) % 0.36/0.57 (define @t9 () (not @t7)) % 0.36/0.57 (define @t10 () (not @t8)) % 0.36/0.57 (define @t11 () (tptp.liar @t1)) % 0.36/0.57 (define @t12 () (tptp.truthteller @t1)) % 0.36/0.57 (define @t13 () (not @t11)) % 0.36/0.57 (define @t14 () (not @t12)) % 0.36/0.57 (define @t15 () (@var "Y" $$unsorted)) % 0.36/0.57 (define @t16 () (tptp.a_truth @t15)) % 0.36/0.57 (define @t17 () (not @t16)) % 0.36/0.57 (define @t18 () (not (tptp.says @t1 @t15))) % 0.36/0.57 (define @t19 () (@list @t1 @t15)) % 0.36/0.57 (define @t20 () (tptp.statement_by @t1)) % 0.36/0.57 (define @t21 () (tptp.a_truth @t20)) % 0.36/0.57 (define @t22 () (forall @t4 (or @t6 @t9 @t11))) % 0.36/0.57 (define @t23 () (tptp.says tptp.a tptp.a_from_mars)) % 0.36/0.57 (define @t24 () (tptp.says tptp.b tptp.a_has_lied)) % 0.36/0.57 (define @t25 () (tptp.a_truth tptp.a_from_mars)) % 0.36/0.57 (define @t26 () (tptp.from_mars tptp.a)) % 0.36/0.57 (define @t27 () (not @t26)) % 0.36/0.57 (define @t28 () (not @t25)) % 0.36/0.57 (define @t29 () (tptp.statement_by tptp.b)) % 0.36/0.57 (define @t30 () (tptp.a_truth @t29)) % 0.36/0.57 (define @t31 () (not @t30)) % 0.36/0.57 (define @t32 () (tptp.female tptp.a)) % 0.36/0.57 (define @t33 () (not @t32)) % 0.36/0.57 (define @t34 () (tptp.female tptp.b)) % 0.36/0.57 (define @t35 () (tptp.male tptp.a)) % 0.36/0.57 (define @t36 () (not @t35)) % 0.36/0.57 (define @t37 () (tptp.from_mars tptp.b)) % 0.36/0.57 (define @t38 () (tptp.from_venus tptp.b)) % 0.36/0.57 (define @t39 () (tptp.from_venus tptp.a)) % 0.36/0.57 (define @t40 () (@list tptp.a tptp.a_from_mars)) % 0.36/0.57 (define @t41 () (@list tptp.a)) % 0.36/0.57 (define @t42 () (or @t26 @t39)) % 0.36/0.57 (define @t43 () (not @t23)) % 0.36/0.57 (define @t44 () (tptp.truthteller tptp.a)) % 0.36/0.57 (define @t45 () (not @t44)) % 0.36/0.57 (define @t46 () (or @t45 @t43 @t25)) % 0.36/0.57 (define @t47 () (not @t39)) % 0.36/0.57 (define @t48 () (or @t47 @t33 @t44)) % 0.36/0.57 (define @t49 () (or @t35 @t32)) % 0.36/0.57 (define @t50 () (@list tptp.b)) % 0.36/0.57 (define @t51 () (tptp.liar tptp.b)) % 0.36/0.57 (define @t52 () (not @t34)) % 0.36/0.57 (define @t53 () (not @t37)) % 0.36/0.57 (define @t54 () (or @t53 @t52 @t51)) % 0.36/0.57 (define @t55 () (@list tptp.b tptp.a_has_lied)) % 0.36/0.57 (define @t56 () (tptp.a_truth tptp.a_has_lied)) % 0.36/0.57 (define @t57 () (not @t56)) % 0.36/0.57 (define @t58 () (not @t24)) % 0.36/0.57 (define @t59 () (not @t51)) % 0.36/0.57 (define @t60 () (or @t59 @t58 @t57)) % 0.36/0.57 (define @t61 () (= tptp.a_has_lied @t29)) % 0.36/0.57 (define @t62 () (and @t30 @t61)) % 0.36/0.57 (define @t63 () (@list false)) % 0.36/0.57 (define @t64 () (tptp.liar tptp.a)) % 0.36/0.57 (define @t65 () (not @t64)) % 0.36/0.57 (define @t66 () (or @t65 @t43 @t28)) % 0.36/0.57 (define @t67 () (not @t61)) % 0.36/0.57 (define @t68 () (and @t31 @t61)) % 0.36/0.57 (define @t69 () (@list true false)) % 0.36/0.57 (define @t70 () (tptp.truthteller tptp.b)) % 0.36/0.57 (define @t71 () (not @t70)) % 0.36/0.57 (define @t72 () (or @t71 @t58 @t56)) % 0.36/0.57 (define @t73 () (@list false true false)) % 0.36/0.57 (define @t74 () (or @t27 @t47)) % 0.36/0.57 (define @t75 () (@list true)) % 0.36/0.57 (define @t76 () (not @t38)) % 0.36/0.57 (define @t77 () (or @t76 @t52 @t70)) % 0.36/0.57 (define @t78 () (or @t27 @t33 @t64)) % 0.36/0.57 (define @t79 () (not @t78)) % 0.36/0.57 (assume @p1 (forall @t4 (or @t3 @t2))) % 0.36/0.57 (assume @p2 (forall @t4 (or @t6 @t5))) % 0.36/0.57 (assume @p3 (forall @t4 (or @t8 @t7))) % 0.36/0.57 (assume @p4 (forall @t4 (or @t10 @t9))) % 0.36/0.57 (assume @p5 (forall @t4 (or @t12 @t11))) % 0.36/0.57 (assume @p6 (forall @t4 (or @t14 @t13))) % 0.36/0.57 (assume @p7 (forall @t19 (or @t18 @t16 @t17))) % 0.36/0.57 (assume @p8 (forall @t19 (or @t18 (= @t15 @t20)))) % 0.36/0.57 (assume @p9 (forall @t4 (or (not @t21) @t12))) % 0.36/0.57 (assume @p10 (forall @t4 (or @t21 @t11))) % 0.36/0.57 (assume @p11 (forall @t4 (or @t5 @t9 @t12))) % 0.36/0.57 (assume @p12 (forall @t4 (or @t5 @t10 @t11))) % 0.36/0.57 (assume @p13 (forall @t4 (or @t6 @t10 @t12))) % 0.36/0.57 (assume @p14 @t22) % 0.36/0.57 (assume @p15 (forall @t19 (or @t14 @t18 @t16))) % 0.36/0.57 (assume @p16 (forall @t19 (or @t13 @t18 @t17))) % 0.36/0.57 (assume @p17 @t23) % 0.36/0.57 (assume @p18 @t24) % 0.36/0.57 (assume @p19 (or @t27 @t25)) % 0.36/0.57 (assume @p20 (or @t26 @t28)) % 0.36/0.57 (assume @p21 (or @t28 @t31)) % 0.36/0.57 (assume @p22 (= (tptp.statement_by tptp.a) tptp.a_from_mars)) % 0.36/0.57 (assume @p23 (= @t29 tptp.a_has_lied)) % 0.36/0.57 (assume @p24 (or @t25 @t30)) % 0.36/0.57 (assume @p25 (or @t33 (tptp.male tptp.b))) % 0.36/0.57 (assume @p26 (or @t36 @t34)) % 0.36/0.57 (assume @p27 (or @t37 @t26)) % 0.36/0.57 (assume @p28 (or @t39 @t38)) % 0.36/0.57 (step @p29 :rule instantiate :premises (@p16) :args (@t40)) % 0.36/0.57 (step @p30 :rule reordering :premises (@p27) :args ((or @t26 @t37))) % 0.36/0.57 (step @p31 :rule instantiate :premises (@p1) :args (@t41)) % 0.36/0.57 (step @p32 :rule cnf_or_pos :args (@t42)) % 0.36/0.57 (step @p33 :rule reordering :premises (@p32) :args ((or @t26 @t39 (not @t42)))) % 0.36/0.57 (step @p34 :rule instantiate :premises (@p15) :args (@t40)) % 0.36/0.57 (step @p35 :rule cnf_or_pos :args (@t46)) % 0.36/0.57 (step @p36 :rule reordering :premises (@p35) :args ((or @t25 @t43 @t45 (not @t46)))) % 0.36/0.57 (step @p37 :rule instantiate :premises (@p11) :args (@t41)) % 0.36/0.57 (step @p38 :rule cnf_or_pos :args (@t48)) % 0.36/0.57 (step @p39 :rule reordering :premises (@p38) :args ((or @t33 @t47 @t44 (not @t48)))) % 0.36/0.57 (step @p40 :rule instantiate :premises (@p3) :args (@t41)) % 0.36/0.57 (step @p41 :rule cnf_or_pos :args (@t49)) % 0.36/0.57 (step @p42 :rule reordering :premises (@p41) :args ((or @t32 @t35 (not @t49)))) % 0.36/0.57 (step @p43 :rule instantiate :premises (@p14) :args (@t50)) % 0.36/0.57 (step @p44 :rule cnf_or_pos :args (@t54)) % 0.36/0.57 (step @p45 :rule reordering :premises (@p44) :args ((or @t52 @t53 @t51 (not @t54)))) % 0.36/0.57 (step @p46 :rule instantiate :premises (@p16) :args (@t55)) % 0.36/0.57 (step @p47 :rule cnf_or_pos :args (@t60)) % 0.36/0.57 (step @p48 :rule reordering :premises (@p47) :args ((or @t58 @t59 @t57 (not @t60)))) % 0.36/0.57 (step @p49 :rule symm :premises (@p23)) % 0.36/0.57 (assume-push @p123 @t30) % 0.36/0.57 (assume-push @p124 @t61) % 0.36/0.57 (assume-push @p125 @t30) % 0.36/0.57 (assume-push @p126 @t61) % 0.36/0.57 (step @p54 :rule true_intro :premises (@p123)) % 0.36/0.57 (step @p55 :rule cong :premises (@p49) :args (@t56)) % 0.36/0.57 (step @p56 :rule trans :premises (@p55 @p54)) % 0.36/0.57 (step @p57 :rule true_elim :premises (@p56)) % 0.36/0.57 (step-pop @p127 :rule scope :premises (@p57)) % 0.36/0.57 (step-pop @p128 :rule scope :premises (@p127)) % 0.36/0.57 (step @p58 :rule process_scope :premises (@p128) :args (@t56)) % 0.36/0.57 (step @p61 :rule and_intro :premises (@p123 @p49)) % 0.36/0.57 (step @p62 :rule modus_ponens :premises (@p61 @p58)) % 0.36/0.57 (step-pop @p129 :rule scope :premises (@p62)) % 0.36/0.57 (step-pop @p130 :rule scope :premises (@p129)) % 0.36/0.57 (step @p63 :rule process_scope :premises (@p130) :args (@t56)) % 0.36/0.57 (step @p66 :rule implies_elim :premises (@p63)) % 0.36/0.57 (step @p67 :rule cnf_and_neg :args (@t62)) % 0.36/0.57 (step @p68 :rule resolution :premises (@p67 @p66) :args (true @t62)) % 0.36/0.57 (step @p69 :rule chain_m_resolution :premises (@p68 @p49 @p48 @p46 @p18 @p45 @p43 @p26 @p42 @p40 @p39 @p37 @p36 @p34 @p17 @p24 @p33 @p31 @p30 @p20) :args (@t26 (@list false true false false false false false false false true false true false false false false false false true) (@list @t61 @t56 @t60 @t24 @t51 @t54 @t34 @t35 @t49 @t32 @t48 @t44 @t46 @t23 @t30 @t39 @t42 @t37 @t25))) % 0.36/0.57 (step @p70 :rule chain_m_resolution :premises (@p19 @p69) :args (@t25 @t63 (@list @t26))) % 0.36/0.57 (step @p71 :rule cnf_or_pos :args (@t66)) % 0.36/0.57 (step @p72 :rule reordering :premises (@p71) :args ((or @t28 @t43 @t65 (not @t66)))) % 0.36/0.57 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p17 @p29) :args (@t65 (@list false false false) (@list @t25 @t23 @t66))) % 0.36/0.57 (step @p74 :rule instantiate :premises (@p11) :args (@t50)) % 0.36/0.57 (step @p75 :rule instantiate :premises (@p15) :args (@t55)) % 0.36/0.57 (step @p76 :rule chain_m_resolution :premises (@p21 @p70) :args (@t31 @t63 (@list @t25))) % 0.36/0.57 (step @p77 :rule refl :args (@t57)) % 0.36/0.57 (step @p78 :rule refl :args (@t67)) % 0.36/0.57 (step @p79 :rule bool-double-not-elim :args (@t30)) % 0.36/0.57 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77) :args ((or (not @t31) @t67 @t57))) % 0.36/0.57 (assume-push @p131 @t31) % 0.36/0.57 (assume-push @p132 @t61) % 0.36/0.57 (assume-push @p133 @t31) % 0.36/0.57 (assume-push @p134 @t61) % 0.36/0.57 (step @p85 :rule false_intro :premises (@p131)) % 0.36/0.57 (step @p55 :rule cong :premises (@p49) :args (@t56)) % 0.36/0.57 (step @p86 :rule trans :premises (@p55 @p85)) % 0.36/0.57 (step @p87 :rule false_elim :premises (@p86)) % 0.36/0.57 (step-pop @p135 :rule scope :premises (@p87)) % 0.36/0.57 (step-pop @p136 :rule scope :premises (@p135)) % 0.36/0.57 (step @p88 :rule process_scope :premises (@p136) :args (@t57)) % 0.36/0.57 (step @p91 :rule and_intro :premises (@p131 @p49)) % 0.36/0.57 (step @p92 :rule modus_ponens :premises (@p91 @p88)) % 0.36/0.57 (step-pop @p137 :rule scope :premises (@p92)) % 0.36/0.57 (step-pop @p138 :rule scope :premises (@p137)) % 0.36/0.57 (step @p93 :rule process_scope :premises (@p138) :args (@t57)) % 0.36/0.57 (step @p96 :rule implies_elim :premises (@p93)) % 0.36/0.57 (step @p97 :rule cnf_and_neg :args (@t68)) % 0.36/0.57 (step @p98 :rule resolution :premises (@p97 @p96) :args (true @t68)) % 0.36/0.57 (step @p99 :rule eq_resolve :premises (@p98 @p80)) % 0.36/0.57 (step @p100 :rule chain_m_resolution :premises (@p99 @p76 @p49) :args (@t57 @t69 (@list @t30 @t61))) % 0.36/0.57 (step @p101 :rule cnf_or_pos :args (@t72)) % 0.36/0.57 (step @p102 :rule reordering :premises (@p101) :args ((or @t58 @t56 @t71 (not @t72)))) % 0.36/0.57 (step @p103 :rule chain_m_resolution :premises (@p102 @p18 @p100 @p75) :args (@t71 @t73 (@list @t24 @t56 @t72))) % 0.36/0.57 (step @p104 :rule instantiate :premises (@p2) :args (@t41)) % 0.36/0.57 (step @p105 :rule cnf_or_pos :args (@t74)) % 0.36/0.57 (step @p106 :rule reordering :premises (@p105) :args ((or @t27 @t47 (not @t74)))) % 0.36/0.57 (step @p107 :rule chain_m_resolution :premises (@p106 @p69 @p104) :args (@t47 (@list false false) (@list @t26 @t74))) % 0.36/0.57 (step @p108 :rule chain_m_resolution :premises (@p28 @p107) :args (@t38 @t75 (@list @t39))) % 0.36/0.57 (step @p109 :rule cnf_or_pos :args (@t77)) % 0.36/0.57 (step @p110 :rule reordering :premises (@p109) :args ((or @t52 @t76 @t70 (not @t77)))) % 0.36/0.57 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p103 @p74) :args (@t52 @t73 (@list @t38 @t70 @t77))) % 0.36/0.57 (step @p112 :rule chain_m_resolution :premises (@p26 @p111) :args (@t36 @t75 (@list @t34))) % 0.36/0.57 (step @p113 :rule chain_m_resolution :premises (@p42 @p112 @p40) :args (@t32 @t69 (@list @t35 @t49))) % 0.36/0.57 (step @p114 :rule cnf_or_pos :args (@t78)) % 0.36/0.57 (step @p115 :rule reordering :premises (@p114) :args ((or @t27 @t33 @t64 @t79))) % 0.36/0.57 (step @p116 :rule chain_m_resolution :premises (@p115 @p69 @p113 @p73) :args (@t79 (@list false false true) (@list @t26 @t32 @t64))) % 0.36/0.57 (assume-push @p139 @t22) % 0.36/0.57 (step @p118 :rule instantiate :premises (@p14) :args (@t41)) % 0.36/0.57 (step-pop @p140 :rule scope :premises (@p118)) % 0.36/0.57 (step @p119 :rule process_scope :premises (@p140) :args (@t78)) % 0.36/0.57 (step @p121 :rule implies_elim :premises (@p119)) % 0.36/0.57 (step @p122 false :rule chain_m_resolution :premises (@p121 @p116 @p14) :args (false @t69 (@list @t78 @t22))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------