%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ134_2 : TPTP v9.2.1. Released v5.1.0. % 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 08:44:17 AM UTC 2026 % Result : Theorem 0.39s 0.63s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : PUZ134_2 : TPTP v9.2.1. Released v5.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n022.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 13:19:08 EDT 2026 % 0.18/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.63 % SZS status Theorem % 0.39/0.63 % SZS output start Proof % 0.39/0.63 ( % 0.39/0.63 (declare-sort tptp.age 0) % 0.39/0.63 (declare-sort tptp.job 0) % 0.39/0.63 (declare-sort tptp.knowheyan 0) % 0.39/0.63 (declare-const tptp.greater (-> tptp.age tptp.age Bool)) % 0.39/0.63 (declare-const tptp.job_of (-> tptp.knowheyan tptp.job)) % 0.39/0.63 (declare-const tptp.synthetic_food_nutitionist tptp.job) % 0.39/0.63 (declare-const tptp.lunar_energy_engineer tptp.job) % 0.39/0.63 (declare-const tptp.age_of (-> tptp.knowheyan tptp.age)) % 0.39/0.63 (declare-const tptp.space_planner tptp.job) % 0.39/0.63 (declare-const tptp.airfoil_technician tptp.job) % 0.39/0.63 (declare-const tptp.communications_consultant tptp.job) % 0.39/0.63 (declare-const tptp.e tptp.knowheyan) % 0.39/0.63 (declare-const tptp.d tptp.knowheyan) % 0.39/0.63 (declare-const tptp.c tptp.knowheyan) % 0.39/0.63 (declare-const tptp.a tptp.knowheyan) % 0.39/0.63 (declare-const tptp.b tptp.knowheyan) % 0.39/0.63 (define @t1 () (@var "X" tptp.knowheyan)) % 0.39/0.63 (define @t2 () (or (= @t1 tptp.a) (= @t1 tptp.b) (= @t1 tptp.c) (= @t1 tptp.d) (= @t1 tptp.e))) % 0.39/0.63 (define @t3 () (@list @t1)) % 0.39/0.63 (define @t4 () (forall @t3 @t2)) % 0.39/0.63 (define @t5 () (@var "X" tptp.job)) % 0.39/0.63 (define @t6 () (@var "Y" tptp.knowheyan)) % 0.39/0.63 (define @t7 () (tptp.age_of @t6)) % 0.39/0.63 (define @t8 () (tptp.age_of @t1)) % 0.39/0.63 (define @t9 () (not (= @t1 @t6))) % 0.39/0.63 (define @t10 () (@list @t1 @t6)) % 0.39/0.63 (define @t11 () (tptp.job_of @t6)) % 0.39/0.63 (define @t12 () (tptp.job_of @t1)) % 0.39/0.63 (define @t13 () (@var "Z" tptp.age)) % 0.39/0.63 (define @t14 () (@var "X" tptp.age)) % 0.39/0.63 (define @t15 () (tptp.greater @t14 @t13)) % 0.39/0.63 (define @t16 () (@var "Y" tptp.age)) % 0.39/0.63 (define @t17 () (tptp.greater @t16 @t13)) % 0.39/0.63 (define @t18 () (tptp.greater @t14 @t16)) % 0.39/0.63 (define @t19 () (and @t18 @t17)) % 0.39/0.63 (define @t20 () (forall (@list @t14 @t16 @t13) (=> @t19 @t15))) % 0.39/0.63 (define @t21 () (tptp.greater @t16 @t14)) % 0.39/0.63 (define @t22 () (@list @t14 @t16)) % 0.39/0.63 (define @t23 () (tptp.age_of tptp.d)) % 0.39/0.63 (define @t24 () (tptp.age_of tptp.a)) % 0.39/0.63 (define @t25 () (tptp.greater @t24 @t23)) % 0.39/0.63 (define @t26 () (tptp.age_of tptp.b)) % 0.39/0.63 (define @t27 () (tptp.greater @t23 @t26)) % 0.39/0.63 (define @t28 () (tptp.age_of tptp.c)) % 0.39/0.63 (define @t29 () (tptp.greater @t26 @t28)) % 0.39/0.63 (define @t30 () (tptp.greater @t8 @t7)) % 0.39/0.63 (define @t31 () (tptp.greater @t28 @t8)) % 0.39/0.63 (define @t32 () (exists @t3 @t31)) % 0.39/0.63 (define @t33 () (tptp.age_of tptp.e)) % 0.39/0.63 (define @t34 () (tptp.greater @t28 @t33)) % 0.39/0.63 (define @t35 () (not @t34)) % 0.39/0.63 (define @t36 () (@list false false false)) % 0.39/0.63 (define @t37 () (forall @t3 (not @t31))) % 0.39/0.63 (define @t38 () (not @t37)) % 0.39/0.63 (define @t39 () (@quantifiers_skolemize @t37 0)) % 0.39/0.63 (define @t40 () (tptp.age_of @t39)) % 0.39/0.63 (define @t41 () (tptp.greater @t28 @t40)) % 0.39/0.63 (define @t42 () (not @t41)) % 0.39/0.63 (define @t43 () (not @t42)) % 0.39/0.63 (define @t44 () (@list true)) % 0.39/0.63 (define @t45 () (not @t17)) % 0.39/0.63 (define @t46 () (not @t18)) % 0.39/0.63 (define @t47 () (tptp.greater @t26 @t40)) % 0.39/0.63 (define @t48 () (not @t29)) % 0.39/0.63 (define @t49 () (or @t48 @t42 @t47)) % 0.39/0.63 (define @t50 () (tptp.greater @t23 @t40)) % 0.39/0.63 (define @t51 () (not @t47)) % 0.39/0.63 (define @t52 () (not @t27)) % 0.39/0.63 (define @t53 () (or @t52 @t51 @t50)) % 0.39/0.63 (define @t54 () (tptp.greater @t24 @t40)) % 0.39/0.63 (define @t55 () (not @t50)) % 0.39/0.63 (define @t56 () (not @t25)) % 0.39/0.63 (define @t57 () (or @t56 @t55 @t54)) % 0.39/0.63 (define @t58 () (or @t54 (tptp.greater @t40 @t24))) % 0.39/0.63 (define @t59 () (@list false)) % 0.39/0.63 (define @t60 () (= @t24 @t40)) % 0.39/0.63 (define @t61 () (not @t60)) % 0.39/0.63 (define @t62 () (= @t61 @t58)) % 0.39/0.63 (define @t63 () (@list false false)) % 0.39/0.63 (define @t64 () (= tptp.a @t39)) % 0.39/0.63 (define @t65 () (not @t64)) % 0.39/0.63 (define @t66 () (or @t47 (tptp.greater @t40 @t26))) % 0.39/0.63 (define @t67 () (= @t26 @t40)) % 0.39/0.63 (define @t68 () (not @t67)) % 0.39/0.63 (define @t69 () (= @t68 @t66)) % 0.39/0.63 (define @t70 () (= tptp.b @t39)) % 0.39/0.63 (define @t71 () (not @t70)) % 0.39/0.63 (define @t72 () (or @t50 (tptp.greater @t40 @t23))) % 0.39/0.63 (define @t73 () (= @t23 @t40)) % 0.39/0.63 (define @t74 () (not @t73)) % 0.39/0.63 (define @t75 () (= @t74 @t72)) % 0.39/0.63 (define @t76 () (= tptp.d @t39)) % 0.39/0.63 (define @t77 () (not @t76)) % 0.39/0.63 (define @t78 () (or @t41 (tptp.greater @t40 @t28))) % 0.39/0.63 (define @t79 () (= @t28 @t40)) % 0.39/0.63 (define @t80 () (not @t79)) % 0.39/0.63 (define @t81 () (= @t80 @t78)) % 0.39/0.63 (define @t82 () (= tptp.c @t39)) % 0.39/0.63 (define @t83 () (not @t82)) % 0.39/0.63 (define @t84 () (= tptp.e @t39)) % 0.39/0.63 (define @t85 () (or @t64 @t70 @t82 @t76 @t84)) % 0.39/0.63 (define @t86 () (not @t84)) % 0.39/0.63 (define @t87 () (and @t41 @t84 @t35)) % 0.39/0.63 (assume @p1 (not (= tptp.a tptp.b))) % 0.39/0.63 (assume @p2 (not (= tptp.a tptp.c))) % 0.39/0.63 (assume @p3 (not (= tptp.a tptp.d))) % 0.39/0.63 (assume @p4 (not (= tptp.a tptp.e))) % 0.39/0.63 (assume @p5 (not (= tptp.b tptp.c))) % 0.39/0.63 (assume @p6 (not (= tptp.b tptp.d))) % 0.39/0.63 (assume @p7 (not (= tptp.b tptp.e))) % 0.39/0.63 (assume @p8 (not (= tptp.c tptp.d))) % 0.39/0.63 (assume @p9 (not (= tptp.c tptp.e))) % 0.39/0.63 (assume @p10 (not (= tptp.d tptp.e))) % 0.39/0.63 (assume @p11 (not (= tptp.airfoil_technician tptp.communications_consultant))) % 0.39/0.63 (assume @p12 (not (= tptp.airfoil_technician tptp.space_planner))) % 0.39/0.63 (assume @p13 (not (= tptp.airfoil_technician tptp.lunar_energy_engineer))) % 0.39/0.63 (assume @p14 (not (= tptp.airfoil_technician tptp.synthetic_food_nutitionist))) % 0.39/0.63 (assume @p15 (not (= tptp.communications_consultant tptp.space_planner))) % 0.39/0.63 (assume @p16 (not (= tptp.communications_consultant tptp.lunar_energy_engineer))) % 0.39/0.63 (assume @p17 (not (= tptp.communications_consultant tptp.synthetic_food_nutitionist))) % 0.39/0.63 (assume @p18 (not (= tptp.space_planner tptp.lunar_energy_engineer))) % 0.39/0.63 (assume @p19 (not (= tptp.space_planner tptp.synthetic_food_nutitionist))) % 0.39/0.63 (assume @p20 (not (= tptp.lunar_energy_engineer tptp.synthetic_food_nutitionist))) % 0.39/0.63 (assume @p21 @t4) % 0.39/0.63 (assume @p22 (forall (@list @t5) (or (= @t5 tptp.airfoil_technician) (= @t5 tptp.communications_consultant) (= @t5 tptp.space_planner) (= @t5 tptp.lunar_energy_engineer) (= @t5 tptp.synthetic_food_nutitionist)))) % 0.39/0.63 (assume @p23 (forall @t10 (=> @t9 (not (= @t8 @t7))))) % 0.39/0.63 (assume @p24 (forall @t10 (=> @t9 (not (= @t12 @t11))))) % 0.39/0.63 (assume @p25 @t20) % 0.39/0.63 (assume @p26 (forall @t22 (not (and @t18 @t21)))) % 0.39/0.63 (assume @p27 (forall @t22 (= (not (= @t14 @t16)) (or @t18 @t21)))) % 0.39/0.63 (assume @p28 (forall @t3 (=> (= @t12 tptp.communications_consultant) (not (exists (@list @t6) (tptp.greater @t7 @t8)))))) % 0.39/0.63 (assume @p29 @t25) % 0.39/0.63 (assume @p30 @t27) % 0.39/0.63 (assume @p31 (forall @t3 (=> (= @t12 tptp.lunar_energy_engineer) (tptp.greater @t8 @t26)))) % 0.39/0.63 (assume @p32 @t29) % 0.39/0.63 (assume @p33 (forall @t10 (=> (and (= @t12 tptp.airfoil_technician) (= @t11 tptp.space_planner)) @t30))) % 0.39/0.63 (assume @p34 (forall @t10 (=> (and (= @t12 tptp.space_planner) (= @t11 tptp.synthetic_food_nutitionist)) @t30))) % 0.39/0.63 (assume @p35 @t32) % 0.39/0.63 (assume @p36 (not (and @t25 @t27 @t29 @t34))) % 0.39/0.63 (assume @p37 true) % 0.39/0.63 (step @p38 :rule not_and :premises (@p36)) % 0.39/0.63 (step @p39 :rule chain_m_resolution :premises (@p38 @p29 @p30 @p32) :args (@t35 @t36 (@list @t25 @t27 @t29))) % 0.39/0.63 (step @p40 :rule exists-elim :args ((= @t32 @t38))) % 0.39/0.63 (step @p41 :rule eq_resolve :premises (@p35 @p40)) % 0.39/0.63 (step @p42 :rule refl :args (@t41)) % 0.39/0.63 (step @p43 :rule bool-double-not-elim :args (@t37)) % 0.39/0.63 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or (not @t38) @t41))) % 0.39/0.63 (step @p45 :rule bool-double-not-elim :args (@t41)) % 0.39/0.63 (step @p46 :rule refl :args (@t38)) % 0.39/0.63 (step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t38 @t43))) % 0.39/0.63 (assume-push @p194 @t38) % 0.39/0.63 (step @p49 :rule skolemize :premises (@p41)) % 0.39/0.63 (step-pop @p195 :rule scope :premises (@p49)) % 0.39/0.63 (step @p50 :rule process_scope :premises (@p195) :args (@t43)) % 0.39/0.63 (step @p52 :rule eq_resolve :premises (@p50 @p47)) % 0.39/0.63 (step @p53 :rule implies_elim :premises (@p52)) % 0.39/0.63 (step @p54 :rule eq_resolve :premises (@p53 @p44)) % 0.39/0.63 (step @p55 :rule chain_m_resolution :premises (@p54 @p41) :args (@t41 @t44 (@list @t37))) % 0.39/0.63 (step @p56 :rule eq-symm :args (@t1 tptp.e)) % 0.39/0.63 (step @p57 :rule eq-symm :args (@t1 tptp.d)) % 0.39/0.63 (step @p58 :rule eq-symm :args (@t1 tptp.c)) % 0.39/0.63 (step @p59 :rule eq-symm :args (@t1 tptp.b)) % 0.39/0.63 (step @p60 :rule eq-symm :args (@t1 tptp.a)) % 0.39/0.63 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58 @p57 @p56) :args (@t2)) % 0.39/0.63 (step @p62 :rule cong :premises (@p61) :args (@t4)) % 0.39/0.63 (step @p63 :rule eq_resolve :premises (@p21 @p62)) % 0.39/0.63 (step @p64 :rule instantiate :premises (@p63) :args ((@list @t39))) % 0.39/0.63 (step @p65 :rule instantiate :premises (@p27) :args ((@list @t24 @t40))) % 0.39/0.63 (step @p66 :rule aci_norm :args ((= (or (or @t46 @t45) @t15) (or @t46 @t45 @t15)))) % 0.39/0.63 (step @p67 :rule refl :args (@t15)) % 0.39/0.63 (step @p68 :rule bool-and-de-morgan :args (@t18 @t17 true)) % 0.39/0.63 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or (not @t19) @t15))) % 0.39/0.63 (step @p70 :rule trans :premises (@p69 @p66)) % 0.39/0.63 (step @p71 :rule bool-impl-elim :args (@t19 @t15)) % 0.39/0.63 (step @p72 :rule trans :premises (@p71 @p70)) % 0.39/0.63 (step @p73 :rule cong :premises (@p72) :args (@t20)) % 0.39/0.63 (step @p74 :rule eq_resolve :premises (@p25 @p73)) % 0.39/0.63 (step @p75 :rule instantiate :premises (@p74) :args ((@list @t24 @t23 @t40))) % 0.39/0.63 (step @p76 :rule instantiate :premises (@p74) :args ((@list @t23 @t26 @t40))) % 0.39/0.63 (step @p77 :rule instantiate :premises (@p74) :args ((@list @t26 @t28 @t40))) % 0.39/0.63 (step @p78 :rule cnf_or_pos :args (@t49)) % 0.39/0.63 (step @p79 :rule reordering :premises (@p78) :args ((or @t48 @t42 @t47 (not @t49)))) % 0.39/0.63 (step @p80 :rule chain_m_resolution :premises (@p79 @p32 @p55 @p77) :args (@t47 @t36 (@list @t29 @t41 @t49))) % 0.39/0.63 (step @p81 :rule cnf_or_pos :args (@t53)) % 0.39/0.63 (step @p82 :rule reordering :premises (@p81) :args ((or @t52 @t51 @t50 (not @t53)))) % 0.39/0.63 (step @p83 :rule chain_m_resolution :premises (@p82 @p30 @p80 @p76) :args (@t50 @t36 (@list @t27 @t47 @t53))) % 0.39/0.63 (step @p84 :rule cnf_or_pos :args (@t57)) % 0.39/0.63 (step @p85 :rule reordering :premises (@p84) :args ((or @t56 @t55 @t54 (not @t57)))) % 0.39/0.63 (step @p86 :rule chain_m_resolution :premises (@p85 @p29 @p83 @p75) :args (@t54 @t36 (@list @t25 @t50 @t57))) % 0.39/0.63 (step @p87 :rule cnf_or_neg :args (@t58 0)) % 0.39/0.63 (step @p88 :rule reordering :premises (@p87) :args ((or (not @t54) @t58))) % 0.39/0.63 (step @p89 :rule chain_m_resolution :premises (@p88 @p86) :args (@t58 @t59 (@list @t54))) % 0.39/0.63 (step @p90 :rule cnf_equiv_pos2 :args (@t62)) % 0.39/0.63 (step @p91 :rule reordering :premises (@p90) :args ((or @t61 (not @t58) (not @t62)))) % 0.39/0.63 (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p65) :args (@t61 @t63 (@list @t58 @t62))) % 0.39/0.63 (assume-push @p196 @t64) % 0.39/0.63 (assume-push @p197 @t64) % 0.39/0.63 (step @p95 :rule cong :premises (@p196) :args (@t24)) % 0.39/0.63 (step-pop @p198 :rule scope :premises (@p95)) % 0.39/0.63 (step @p96 :rule process_scope :premises (@p198) :args (@t60)) % 0.39/0.63 (step @p98 :rule modus_ponens :premises (@p196 @p96)) % 0.39/0.63 (step-pop @p199 :rule scope :premises (@p98)) % 0.39/0.63 (step @p99 :rule process_scope :premises (@p199) :args (@t60)) % 0.39/0.63 (step @p101 :rule implies_elim :premises (@p99)) % 0.39/0.63 (step @p102 :rule reordering :premises (@p101) :args ((or @t60 @t65))) % 0.39/0.63 (step @p103 :rule chain_m_resolution :premises (@p102 @p92) :args (@t65 @t44 (@list @t60))) % 0.39/0.63 (step @p104 :rule instantiate :premises (@p27) :args ((@list @t26 @t40))) % 0.39/0.63 (step @p105 :rule cnf_or_neg :args (@t66 0)) % 0.39/0.63 (step @p106 :rule reordering :premises (@p105) :args ((or @t51 @t66))) % 0.39/0.63 (step @p107 :rule chain_m_resolution :premises (@p106 @p80) :args (@t66 @t59 (@list @t47))) % 0.39/0.63 (step @p108 :rule cnf_equiv_pos2 :args (@t69)) % 0.39/0.63 (step @p109 :rule reordering :premises (@p108) :args ((or @t68 (not @t66) (not @t69)))) % 0.39/0.63 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p104) :args (@t68 @t63 (@list @t66 @t69))) % 0.39/0.63 (assume-push @p200 @t70) % 0.39/0.63 (assume-push @p201 @t70) % 0.39/0.63 (step @p113 :rule cong :premises (@p200) :args (@t26)) % 0.39/0.63 (step-pop @p202 :rule scope :premises (@p113)) % 0.39/0.63 (step @p114 :rule process_scope :premises (@p202) :args (@t67)) % 0.39/0.63 (step @p116 :rule modus_ponens :premises (@p200 @p114)) % 0.39/0.63 (step-pop @p203 :rule scope :premises (@p116)) % 0.39/0.63 (step @p117 :rule process_scope :premises (@p203) :args (@t67)) % 0.39/0.63 (step @p119 :rule implies_elim :premises (@p117)) % 0.39/0.63 (step @p120 :rule reordering :premises (@p119) :args ((or @t67 @t71))) % 0.39/0.63 (step @p121 :rule chain_m_resolution :premises (@p120 @p110) :args (@t71 @t44 (@list @t67))) % 0.39/0.63 (step @p122 :rule instantiate :premises (@p27) :args ((@list @t23 @t40))) % 0.39/0.63 (step @p123 :rule cnf_or_neg :args (@t72 0)) % 0.39/0.63 (step @p124 :rule reordering :premises (@p123) :args ((or @t55 @t72))) % 0.39/0.63 (step @p125 :rule chain_m_resolution :premises (@p124 @p83) :args (@t72 @t59 (@list @t50))) % 0.39/0.63 (step @p126 :rule cnf_equiv_pos2 :args (@t75)) % 0.39/0.63 (step @p127 :rule reordering :premises (@p126) :args ((or @t74 (not @t72) (not @t75)))) % 0.39/0.63 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p122) :args (@t74 @t63 (@list @t72 @t75))) % 0.39/0.63 (assume-push @p204 @t76) % 0.39/0.63 (assume-push @p205 @t76) % 0.39/0.63 (step @p131 :rule cong :premises (@p204) :args (@t23)) % 0.39/0.63 (step-pop @p206 :rule scope :premises (@p131)) % 0.39/0.63 (step @p132 :rule process_scope :premises (@p206) :args (@t73)) % 0.39/0.63 (step @p134 :rule modus_ponens :premises (@p204 @p132)) % 0.39/0.63 (step-pop @p207 :rule scope :premises (@p134)) % 0.39/0.63 (step @p135 :rule process_scope :premises (@p207) :args (@t73)) % 0.39/0.63 (step @p137 :rule implies_elim :premises (@p135)) % 0.48/0.63 (step @p138 :rule reordering :premises (@p137) :args ((or @t73 @t77))) % 0.48/0.63 (step @p139 :rule chain_m_resolution :premises (@p138 @p128) :args (@t77 @t44 (@list @t73))) % 0.48/0.63 (step @p140 :rule instantiate :premises (@p27) :args ((@list @t28 @t40))) % 0.48/0.63 (step @p141 :rule cnf_or_neg :args (@t78 0)) % 0.48/0.63 (step @p142 :rule reordering :premises (@p141) :args ((or @t42 @t78))) % 0.48/0.63 (step @p143 :rule chain_m_resolution :premises (@p142 @p55) :args (@t78 @t59 (@list @t41))) % 0.48/0.63 (step @p144 :rule cnf_equiv_pos2 :args (@t81)) % 0.48/0.63 (step @p145 :rule reordering :premises (@p144) :args ((or @t80 (not @t78) (not @t81)))) % 0.48/0.63 (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p140) :args (@t80 @t63 (@list @t78 @t81))) % 0.48/0.63 (assume-push @p208 @t82) % 0.48/0.63 (assume-push @p209 @t82) % 0.48/0.63 (step @p149 :rule cong :premises (@p208) :args (@t28)) % 0.48/0.63 (step-pop @p210 :rule scope :premises (@p149)) % 0.48/0.63 (step @p150 :rule process_scope :premises (@p210) :args (@t79)) % 0.48/0.63 (step @p152 :rule modus_ponens :premises (@p208 @p150)) % 0.48/0.63 (step-pop @p211 :rule scope :premises (@p152)) % 0.48/0.63 (step @p153 :rule process_scope :premises (@p211) :args (@t79)) % 0.48/0.63 (step @p155 :rule implies_elim :premises (@p153)) % 0.48/0.63 (step @p156 :rule reordering :premises (@p155) :args ((or @t79 @t83))) % 0.48/0.63 (step @p157 :rule chain_m_resolution :premises (@p156 @p146) :args (@t83 @t44 (@list @t79))) % 0.48/0.63 (step @p158 :rule cnf_or_pos :args (@t85)) % 0.48/0.63 (step @p159 :rule reordering :premises (@p158) :args ((or @t84 @t82 @t76 @t70 @t64 (not @t85)))) % 0.48/0.63 (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p139 @p121 @p103 @p64) :args (@t84 (@list true true true true false) (@list @t82 @t76 @t70 @t64 @t85))) % 0.48/0.63 (step @p161 :rule refl :args (@t86)) % 0.48/0.63 (step @p162 :rule refl :args (@t42)) % 0.48/0.63 (step @p163 :rule bool-double-not-elim :args (@t34)) % 0.48/0.63 (step @p164 :rule nary_cong :premises (@p163 @p162 @p161) :args ((or (not @t35) @t42 @t86))) % 0.48/0.63 (assume-push @p212 @t41) % 0.48/0.63 (assume-push @p213 @t84) % 0.48/0.63 (assume-push @p214 @t35) % 0.48/0.63 (step @p168 :rule evaluate :args ((= false true))) % 0.48/0.63 (step @p169 :rule true_intro :premises (@p55)) % 0.48/0.63 (step @p170 :rule cong :premises (@p213) :args (@t33)) % 0.48/0.63 (step @p171 :rule refl :args (@t28)) % 0.48/0.63 (step @p172 :rule cong :premises (@p171 @p170) :args (@t34)) % 0.48/0.63 (step @p173 :rule false_intro :premises (@p39)) % 0.48/0.63 (step @p174 :rule symm :premises (@p173)) % 0.48/0.63 (step @p175 :rule trans :premises (@p174 @p172 @p169)) % 0.48/0.63 (step @p176 false :rule eq_resolve :premises (@p175 @p168)) % 0.48/0.63 (step-pop @p215 :rule scope :premises (@p176)) % 0.48/0.63 (step-pop @p216 :rule scope :premises (@p215)) % 0.48/0.63 (step-pop @p217 :rule scope :premises (@p216)) % 0.48/0.63 (step @p177 :rule process_scope :premises (@p217) :args (false)) % 0.48/0.63 (assume-push @p218 @t35) % 0.48/0.63 (assume-push @p219 @t41) % 0.48/0.63 (assume-push @p220 @t84) % 0.48/0.63 (step @p184 :rule and_intro :premises (@p55 @p220 @p39)) % 0.48/0.63 (step-pop @p221 :rule scope :premises (@p184)) % 0.48/0.63 (step-pop @p222 :rule scope :premises (@p221)) % 0.48/0.63 (step-pop @p223 :rule scope :premises (@p222)) % 0.48/0.63 (step @p185 :rule process_scope :premises (@p223) :args (@t87)) % 0.48/0.63 (step @p189 :rule implies_elim :premises (@p185)) % 0.48/0.63 (step @p190 :rule resolution :premises (@p189 @p177) :args (true @t87)) % 0.48/0.63 (step @p191 :rule not_and :premises (@p190)) % 0.48/0.63 (step @p192 :rule eq_resolve :premises (@p191 @p164)) % 0.48/0.63 (step @p193 false :rule chain_m_resolution :premises (@p192 @p160 @p55 @p39) :args (false (@list false false true) (@list @t84 @t41 @t34))) % 0.48/0.63 ) % 0.48/0.63 % SZS output end Proof % 0.48/0.63 % cvc5 exiting %------------------------------------------------------------------------------