%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT257-1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:30:00 AM UTC 2026 % Result : Unsatisfiable 28.05s 28.96s % Output : Proof 28.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT257-1 : TPTP v9.2.1. Released v3.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n005.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 06:07:03 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... % 0.33/16.16 --- Run --no-e-matching --full-saturate-quant at 6... % 21.94/22.19 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.02/28.21 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.05/28.96 % SZS status Unsatisfiable % 28.05/28.96 % SZS output start Proof % 28.05/28.97 ( % 28.05/28.97 (declare-sort $$unsorted 0) % 28.05/28.97 (declare-const tptp.b $$unsorted) % 28.05/28.97 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 28.05/28.97 (declare-const tptp.a $$unsorted) % 28.05/28.97 (declare-const tptp.one $$unsorted) % 28.05/28.97 (declare-const tptp.zero $$unsorted) % 28.05/28.97 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 28.05/28.97 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 28.05/28.97 (define @t1 () (@var "X" $$unsorted)) % 28.05/28.97 (define @t2 () (tptp.meet @t1 @t1)) % 28.05/28.97 (define @t3 () (@list @t1)) % 28.05/28.97 (define @t4 () (forall @t3 (= @t2 @t1))) % 28.05/28.97 (define @t5 () (tptp.join @t1 @t1)) % 28.05/28.97 (define @t6 () (forall @t3 (= @t5 @t1))) % 28.05/28.97 (define @t7 () (@var "Y" $$unsorted)) % 28.05/28.97 (define @t8 () (tptp.join @t1 @t7)) % 28.05/28.97 (define @t9 () (tptp.meet @t1 @t8)) % 28.05/28.97 (define @t10 () (@list @t1 @t7)) % 28.05/28.97 (define @t11 () (forall @t10 (= @t9 @t1))) % 28.05/28.97 (define @t12 () (tptp.meet @t1 @t7)) % 28.05/28.97 (define @t13 () (tptp.join @t1 @t12)) % 28.05/28.97 (define @t14 () (forall @t10 (= @t13 @t1))) % 28.05/28.97 (define @t15 () (forall @t10 (= @t8 (tptp.join @t7 @t1)))) % 28.05/28.97 (define @t16 () (@var "Z" $$unsorted)) % 28.05/28.97 (define @t17 () (@list @t1 @t7 @t16)) % 28.05/28.97 (define @t18 () (tptp.complement @t1)) % 28.05/28.97 (define @t19 () (tptp.join @t1 @t18)) % 28.05/28.97 (define @t20 () (forall @t3 (= @t19 tptp.one))) % 28.05/28.97 (define @t21 () (tptp.meet @t1 @t18)) % 28.05/28.97 (define @t22 () (forall @t3 (= @t21 tptp.zero))) % 28.05/28.97 (define @t23 () (not (= @t8 tptp.one))) % 28.05/28.97 (define @t24 () (not (= @t12 tptp.zero))) % 28.05/28.97 (define @t25 () (or @t24 @t23 (= @t18 @t7))) % 28.05/28.97 (define @t26 () (forall @t10 @t25)) % 28.05/28.97 (define @t27 () (tptp.meet tptp.b tptp.a)) % 28.05/28.97 (define @t28 () (tptp.complement tptp.a)) % 28.05/28.97 (define @t29 () (tptp.complement tptp.b)) % 28.05/28.97 (define @t30 () (tptp.join @t29 @t28)) % 28.05/28.97 (define @t31 () (@list @t29)) % 28.05/28.97 (define @t32 () (@list tptp.a @t28)) % 28.05/28.97 (define @t33 () (@list tptp.a)) % 28.05/28.97 (define @t34 () (tptp.join @t28 tptp.zero)) % 28.05/28.97 (define @t35 () (@list tptp.zero @t28)) % 28.05/28.97 (define @t36 () (tptp.join tptp.zero @t28)) % 28.05/28.97 (define @t37 () (tptp.join @t29 @t36)) % 28.05/28.97 (define @t38 () (= @t36 @t34)) % 28.05/28.97 (define @t39 () (@list false)) % 28.05/28.97 (define @t40 () (tptp.join (tptp.join @t29 @t29) @t28)) % 28.05/28.97 (define @t41 () (tptp.join @t40 @t28)) % 28.05/28.97 (define @t42 () (@list @t30 tptp.a)) % 28.05/28.97 (define @t43 () (tptp.join @t29 tptp.one)) % 28.05/28.97 (define @t44 () (tptp.meet @t30 @t43)) % 28.05/28.97 (define @t45 () (tptp.meet tptp.a @t28)) % 28.05/28.97 (define @t46 () (tptp.join @t45 @t28)) % 28.05/28.97 (define @t47 () (tptp.join @t46 @t29)) % 28.05/28.97 (define @t48 () (tptp.meet @t29 tptp.one)) % 28.05/28.97 (define @t49 () (@list tptp.one @t28)) % 28.05/28.97 (define @t50 () (tptp.meet tptp.a tptp.a)) % 28.05/28.97 (define @t51 () (tptp.join @t50 @t50)) % 28.05/28.97 (define @t52 () (tptp.join tptp.a @t28)) % 28.05/28.97 (define @t53 () (tptp.join tptp.a @t30)) % 28.05/28.97 (define @t54 () (tptp.join @t28 @t29)) % 28.05/28.97 (define @t55 () (tptp.join @t29 tptp.a)) % 28.05/28.97 (define @t56 () (tptp.meet tptp.one (tptp.join @t29 @t30))) % 28.05/28.97 (define @t57 () (tptp.join @t56 @t44)) % 28.05/28.97 (define @t58 () (tptp.meet @t56 @t43)) % 28.05/28.97 (define @t59 () (@list tptp.b tptp.a)) % 28.05/28.97 (define @t60 () (tptp.join @t40 @t29)) % 28.05/28.97 (define @t61 () (@list tptp.b)) % 28.05/28.97 (define @t62 () (tptp.join tptp.b @t29)) % 28.05/28.97 (define @t63 () (@list tptp.b @t29 @t28)) % 28.05/28.97 (define @t64 () (tptp.join tptp.b @t40)) % 28.05/28.97 (define @t65 () (tptp.meet @t29 @t64)) % 28.05/28.97 (define @t66 () (tptp.meet @t52 @t29)) % 28.05/28.97 (define @t67 () (tptp.meet @t40 @t62)) % 28.05/28.97 (define @t68 () (tptp.join @t67 @t65)) % 28.05/28.97 (define @t69 () (tptp.meet @t28 @t62)) % 28.05/28.97 (define @t70 () (@list tptp.b tptp.one)) % 28.05/28.97 (define @t71 () (tptp.meet tptp.one tptp.b)) % 28.05/28.97 (define @t72 () (tptp.join @t28 tptp.a)) % 28.05/28.97 (define @t73 () (@list tptp.b @t28)) % 28.05/28.97 (define @t74 () (tptp.meet @t29 (tptp.join tptp.b @t28))) % 28.05/28.97 (define @t75 () (tptp.join @t74 @t69)) % 28.05/28.97 (define @t76 () (tptp.meet @t28 tptp.b)) % 28.05/28.97 (define @t77 () (tptp.join tptp.zero @t76)) % 28.05/28.97 (define @t78 () (tptp.meet tptp.b @t28)) % 28.05/28.97 (define @t79 () (tptp.join tptp.zero @t72)) % 28.05/28.97 (define @t80 () (tptp.meet tptp.b @t40)) % 28.05/28.97 (define @t81 () (tptp.join tptp.a @t60)) % 28.05/28.97 (define @t82 () (not (= @t81 tptp.one))) % 28.05/28.97 (define @t83 () (tptp.meet tptp.a @t60)) % 28.05/28.97 (define @t84 () (not (= @t83 tptp.zero))) % 28.05/28.97 (define @t85 () (or @t84 @t82 (= @t60 @t28))) % 28.05/28.97 (define @t86 () (forall @t10 (or @t24 @t23 (= @t7 @t18)))) % 28.05/28.97 (define @t87 () (= @t28 @t60)) % 28.05/28.97 (define @t88 () (= tptp.one @t81)) % 28.05/28.97 (define @t89 () (not @t88)) % 28.05/28.97 (define @t90 () (= tptp.zero @t83)) % 28.05/28.97 (define @t91 () (not @t90)) % 28.05/28.97 (define @t92 () (or @t91 @t89 @t87)) % 28.05/28.97 (assume @p1 @t4) % 28.05/28.97 (assume @p2 @t6) % 28.05/28.97 (assume @p3 @t11) % 28.05/28.97 (assume @p4 @t14) % 28.05/28.97 (assume @p5 (forall @t10 (= @t12 (tptp.meet @t7 @t1)))) % 28.05/28.97 (assume @p6 @t15) % 28.05/28.97 (assume @p7 (forall @t17 (= (tptp.meet @t12 @t16) (tptp.meet @t1 (tptp.meet @t7 @t16))))) % 28.05/28.97 (assume @p8 (forall @t17 (= (tptp.join @t8 @t16) (tptp.join @t1 (tptp.join @t7 @t16))))) % 28.05/28.97 (assume @p9 @t20) % 28.05/28.97 (assume @p10 @t22) % 28.05/28.97 (assume @p11 @t26) % 28.05/28.97 (assume @p12 (forall @t17 (= (tptp.meet @t1 (tptp.join (tptp.meet @t7 (tptp.join @t1 @t16)) (tptp.meet @t16 @t8))) (tptp.join @t12 (tptp.meet @t1 @t16))))) % 28.05/28.97 (assume @p13 (= @t27 tptp.a)) % 28.05/28.97 (assume @p14 (not (= @t30 @t28))) % 28.05/28.97 (step @p15 :rule refl :args (@t29)) % 28.05/28.97 (step @p16 :rule refl :args (@t28)) % 28.05/28.97 (step @p17 :rule eq-symm :args (@t5 @t1)) % 28.05/28.97 (step @p18 :rule cong :premises (@p17) :args (@t6)) % 28.05/28.97 (step @p19 :rule eq_resolve :premises (@p2 @p18)) % 28.05/28.97 (step @p20 :rule instantiate :premises (@p19) :args (@t31)) % 28.05/28.97 (step @p21 :rule cong :premises (@p20 @p16) :args (@t30)) % 28.05/28.97 (step @p22 :rule symm :premises (@p21)) % 28.05/28.97 (step @p23 :rule eq-symm :args (@t13 @t1)) % 28.05/28.97 (step @p24 :rule cong :premises (@p23) :args (@t14)) % 28.05/28.97 (step @p25 :rule eq_resolve :premises (@p4 @p24)) % 28.05/28.97 (step @p26 :rule instantiate :premises (@p25) :args ((@list @t28 tptp.a))) % 28.05/28.97 (step @p27 :rule symm :premises (@p26)) % 28.05/28.97 (step @p28 :rule instantiate :premises (@p5) :args (@t32)) % 28.05/28.97 (step @p29 :rule eq-symm :args (@t21 tptp.zero)) % 28.05/28.97 (step @p30 :rule cong :premises (@p29) :args (@t22)) % 28.05/28.97 (step @p31 :rule eq_resolve :premises (@p10 @p30)) % 28.05/28.97 (step @p32 :rule instantiate :premises (@p31) :args (@t33)) % 28.05/28.97 (step @p33 :rule trans :premises (@p32 @p28)) % 28.05/28.97 (step @p34 :rule cong :premises (@p16 @p33) :args (@t34)) % 28.05/28.97 (step @p35 :rule instantiate :premises (@p6) :args (@t35)) % 28.05/28.97 (step @p36 :rule trans :premises (@p35 @p34 @p27)) % 28.05/28.97 (step @p37 :rule cong :premises (@p20 @p36) :args (@t37)) % 28.05/28.97 (step @p38 :rule eq-symm :args (@t36 @t34)) % 28.05/28.97 (step @p39 :rule refl :args (@t15)) % 28.05/28.97 (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t15 @t38))) % 28.05/28.97 (assume-push @p357 @t15) % 28.05/28.97 (step-pop @p358 :rule scope :premises (@p35)) % 28.05/28.97 (step @p42 :rule process_scope :premises (@p358) :args (@t38)) % 28.05/28.97 (step @p44 :rule eq_resolve :premises (@p42 @p40)) % 28.05/28.97 (step @p45 :rule implies_elim :premises (@p44)) % 28.05/28.97 (step @p46 :rule chain_m_resolution :premises (@p45 @p6) :args ((= @t34 @t36) @t39 (@list @t15))) % 28.05/28.97 (step @p47 :rule symm :premises (@p34)) % 28.05/28.97 (step @p48 :rule instantiate :premises (@p19) :args ((@list @t28))) % 28.05/28.97 (step @p49 :rule symm :premises (@p48)) % 28.05/28.97 (step @p50 :rule trans :premises (@p49 @p26 @p47 @p46)) % 28.05/28.97 (step @p51 :rule cong :premises (@p15 @p50) :args ((tptp.join @t29 (tptp.join @t28 @t28)))) % 28.05/28.97 (step @p52 :rule instantiate :premises (@p8) :args ((@list @t29 @t28 @t28))) % 28.05/28.97 (step @p53 :rule cong :premises (@p22 @p16) :args (@t41)) % 28.05/28.97 (step @p54 :rule trans :premises (@p53 @p52 @p51 @p37 @p22)) % 28.05/28.97 (step @p55 :rule trans :premises (@p54 @p21)) % 28.05/28.97 (step @p56 :rule cong :premises (@p55 @p15) :args ((tptp.join @t41 @t29))) % 28.05/28.97 (step @p57 :rule instantiate :premises (@p8) :args ((@list @t40 @t28 @t29))) % 28.05/28.97 (step @p58 :rule symm :premises (@p57)) % 28.05/28.97 (step @p59 :rule instantiate :premises (@p6) :args ((@list @t29 @t28))) % 28.05/28.97 (step @p60 :rule eq-symm :args (@t9 @t1)) % 28.05/28.97 (step @p61 :rule cong :premises (@p60) :args (@t11)) % 28.05/28.97 (step @p62 :rule eq_resolve :premises (@p3 @p61)) % 28.05/28.97 (step @p63 :rule instantiate :premises (@p62) :args (@t42)) % 28.05/28.97 (step @p64 :rule symm :premises (@p63)) % 28.05/28.97 (step @p65 :rule instantiate :premises (@p8) :args ((@list @t29 @t28 tptp.a))) % 28.05/28.97 (step @p66 :rule symm :premises (@p65)) % 28.05/28.97 (step @p67 :rule instantiate :premises (@p6) :args (@t32)) % 28.05/28.97 (step @p68 :rule eq-symm :args (@t19 tptp.one)) % 28.05/28.97 (step @p69 :rule cong :premises (@p68) :args (@t20)) % 28.05/28.97 (step @p70 :rule eq_resolve :premises (@p9 @p69)) % 28.05/28.97 (step @p71 :rule instantiate :premises (@p70) :args (@t33)) % 28.05/28.97 (step @p72 :rule trans :premises (@p71 @p67)) % 28.05/28.97 (step @p73 :rule cong :premises (@p15 @p72) :args (@t43)) % 28.05/28.97 (step @p74 :rule trans :premises (@p73 @p66)) % 28.05/28.97 (step @p75 :rule refl :args (@t30)) % 28.05/28.97 (step @p76 :rule cong :premises (@p75 @p74) :args (@t44)) % 28.05/28.97 (step @p77 :rule trans :premises (@p76 @p64 @p59)) % 28.05/28.97 (step @p78 :rule symm :premises (@p59)) % 28.05/28.97 (step @p79 :rule symm :premises (@p32)) % 28.05/28.97 (step @p80 :rule cong :premises (@p79 @p16) :args (@t46)) % 28.05/28.97 (step @p81 :rule trans :premises (@p80 @p35 @p34 @p27)) % 28.05/28.97 (step @p82 :rule cong :premises (@p81 @p15) :args (@t47)) % 28.05/28.97 (step @p83 :rule instantiate :premises (@p62) :args ((@list @t29 (tptp.complement @t29)))) % 28.05/28.97 (step @p84 :rule symm :premises (@p83)) % 28.05/28.97 (step @p85 :rule instantiate :premises (@p70) :args (@t31)) % 28.05/28.97 (step @p86 :rule cong :premises (@p15 @p85) :args (@t48)) % 28.05/28.97 (step @p87 :rule instantiate :premises (@p5) :args ((@list @t29 tptp.one))) % 28.05/28.97 (step @p88 :rule symm :premises (@p87)) % 28.05/28.97 (step @p89 :rule trans :premises (@p88 @p86 @p84)) % 28.05/28.97 (step @p90 :rule symm :premises (@p80)) % 28.05/28.97 (step @p91 :rule instantiate :premises (@p62) :args ((@list @t28 tptp.one))) % 28.05/28.97 (step @p92 :rule symm :premises (@p91)) % 28.05/28.97 (step @p93 :rule instantiate :premises (@p6) :args (@t49)) % 28.05/28.97 (step @p94 :rule symm :premises (@p71)) % 28.05/28.97 (step @p95 :rule instantiate :premises (@p25) :args ((@list tptp.a tptp.a))) % 28.05/28.97 (step @p96 :rule symm :premises (@p95)) % 28.05/28.97 (step @p97 :rule eq-symm :args (@t2 @t1)) % 28.05/28.97 (step @p98 :rule cong :premises (@p97) :args (@t4)) % 28.05/28.97 (step @p99 :rule eq_resolve :premises (@p1 @p98)) % 28.05/28.97 (step @p100 :rule instantiate :premises (@p99) :args (@t33)) % 28.05/28.97 (step @p101 :rule refl :args (tptp.a)) % 28.05/28.97 (step @p102 :rule cong :premises (@p101 @p100) :args ((tptp.join tptp.a tptp.a))) % 28.05/28.97 (step @p103 :rule symm :premises (@p100)) % 28.05/28.97 (step @p104 :rule cong :premises (@p103 @p103) :args (@t51)) % 28.05/28.97 (step @p105 :rule trans :premises (@p104 @p102 @p96)) % 28.05/28.97 (step @p106 :rule cong :premises (@p105 @p16) :args ((tptp.join @t51 @t28))) % 28.05/28.97 (step @p107 :rule instantiate :premises (@p8) :args ((@list @t50 @t50 @t28))) % 28.05/28.97 (step @p108 :rule symm :premises (@p107)) % 28.05/28.97 (step @p109 :rule cong :premises (@p100 @p16) :args (@t52)) % 28.05/28.97 (step @p110 :rule trans :premises (@p71 @p109)) % 28.05/28.97 (step @p111 :rule cong :premises (@p100 @p110) :args ((tptp.join tptp.a tptp.one))) % 28.05/28.97 (step @p112 :rule instantiate :premises (@p6) :args ((@list tptp.one tptp.a))) % 28.05/28.97 (step @p113 :rule trans :premises (@p112 @p111 @p108 @p106 @p94)) % 28.05/28.97 (step @p114 :rule cong :premises (@p113 @p16) :args ((tptp.join (tptp.join tptp.one tptp.a) @t28))) % 28.05/28.97 (step @p115 :rule instantiate :premises (@p8) :args ((@list tptp.one tptp.a @t28))) % 28.05/28.97 (step @p116 :rule symm :premises (@p115)) % 28.05/28.97 (step @p117 :rule refl :args (tptp.one)) % 28.05/28.97 (step @p118 :rule cong :premises (@p117 @p71) :args ((tptp.join tptp.one tptp.one))) % 28.05/28.97 (step @p119 :rule instantiate :premises (@p19) :args ((@list tptp.one))) % 28.05/28.97 (step @p120 :rule trans :premises (@p119 @p118 @p116 @p114 @p93)) % 28.05/28.97 (step @p121 :rule cong :premises (@p16 @p120) :args ((tptp.meet @t28 tptp.one))) % 28.05/28.97 (step @p122 :rule instantiate :premises (@p5) :args (@t49)) % 28.05/28.97 (step @p123 :rule trans :premises (@p122 @p121 @p92 @p26 @p47 @p46 @p90)) % 28.05/28.97 (step @p124 :rule cong :premises (@p123 @p89) :args ((tptp.join (tptp.meet tptp.one @t28) (tptp.meet tptp.one @t29)))) % 28.05/28.97 (step @p125 :rule instantiate :premises (@p12) :args ((@list tptp.one @t28 @t29))) % 28.05/28.97 (step @p126 :rule trans :premises (@p119 @p118 @p116 @p114)) % 28.05/28.97 (step @p127 :rule cong :premises (@p15 @p126) :args (@t48)) % 28.05/28.97 (step @p128 :rule symm :premises (@p86)) % 28.05/28.97 (step @p129 :rule trans :premises (@p83 @p128 @p127)) % 28.05/28.97 (step @p130 :rule cong :premises (@p94 @p15) :args ((tptp.join @t52 @t29))) % 28.05/28.97 (step @p131 :rule instantiate :premises (@p8) :args ((@list tptp.a @t28 @t29))) % 28.05/28.97 (step @p132 :rule symm :premises (@p131)) % 28.05/28.97 (step @p133 :rule cong :premises (@p101 @p59) :args (@t53)) % 28.05/28.97 (step @p134 :rule instantiate :premises (@p6) :args (@t42)) % 28.05/28.97 (step @p135 :rule cong :premises (@p78 @p101) :args ((tptp.join @t54 tptp.a))) % 28.05/28.97 (step @p136 :rule instantiate :premises (@p8) :args ((@list @t28 @t29 tptp.a))) % 28.05/28.97 (step @p137 :rule symm :premises (@p136)) % 28.05/28.97 (step @p138 :rule trans :premises (@p137 @p135 @p134 @p133 @p132 @p130)) % 28.05/28.97 (step @p139 :rule cong :premises (@p16 @p138) :args ((tptp.meet @t28 (tptp.join @t28 @t55)))) % 28.05/28.97 (step @p140 :rule instantiate :premises (@p62) :args ((@list @t28 @t55))) % 28.05/28.97 (step @p141 :rule trans :premises (@p80 @p35 @p34 @p27 @p140 @p139)) % 28.05/28.97 (step @p142 :rule cong :premises (@p141 @p129) :args (@t47)) % 28.05/28.97 (step @p143 :rule symm :premises (@p82)) % 28.05/28.97 (step @p144 :rule instantiate :premises (@p8) :args ((@list @t29 @t29 @t28))) % 28.05/28.97 (step @p145 :rule symm :premises (@p144)) % 28.05/28.97 (step @p146 :rule trans :premises (@p145 @p22 @p59 @p143 @p142)) % 28.05/28.97 (step @p147 :rule cong :premises (@p117 @p146) :args (@t56)) % 28.05/28.97 (step @p148 :rule trans :premises (@p147 @p125 @p124 @p82 @p78)) % 28.05/28.97 (step @p149 :rule trans :premises (@p148 @p21)) % 28.05/28.97 (step @p150 :rule cong :premises (@p149 @p77) :args (@t57)) % 28.05/28.97 (step @p151 :rule refl :args (@t43)) % 28.05/28.97 (step @p152 :rule cong :premises (@p148 @p151) :args (@t58)) % 28.05/28.97 (step @p153 :rule refl :args (@t56)) % 28.05/28.97 (step @p154 :rule cong :premises (@p153 @p152) :args ((tptp.join @t56 @t58))) % 28.05/28.97 (step @p155 :rule instantiate :premises (@p25) :args ((@list @t56 @t43))) % 28.05/28.97 (step @p156 :rule symm :premises (@p147)) % 28.05/28.97 (step @p157 :rule symm :premises (@p125)) % 28.05/28.97 (step @p158 :rule symm :premises (@p124)) % 28.05/28.97 (step @p159 :rule trans :premises (@p22 @p59 @p143 @p158 @p157 @p156 @p155 @p154 @p150 @p58 @p56)) % 28.05/28.97 (step @p160 :rule cong :premises (@p101 @p159) :args ((tptp.meet tptp.a @t40))) % 28.05/28.97 (step @p161 :rule symm :premises (@p159)) % 28.05/28.97 (step @p162 :rule instantiate :premises (@p5) :args (@t59)) % 28.05/28.97 (step @p163 :rule symm :premises (@p162)) % 28.05/28.97 (step @p164 :rule trans :premises (@p163 @p13)) % 28.05/28.97 (step @p165 :rule cong :premises (@p164 @p161) :args ((tptp.meet (tptp.meet tptp.a tptp.b) @t60))) % 28.05/28.97 (step @p166 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b @t60))) % 28.05/28.97 (step @p167 :rule symm :premises (@p166)) % 28.05/28.97 (step @p168 :rule symm :premises (@p119)) % 28.05/28.97 (step @p169 :rule symm :premises (@p118)) % 28.05/28.97 (step @p170 :rule symm :premises (@p114)) % 28.05/28.97 (step @p171 :rule instantiate :premises (@p70) :args (@t61)) % 28.05/28.97 (step @p172 :rule symm :premises (@p171)) % 28.05/28.97 (step @p173 :rule cong :premises (@p172 @p16) :args ((tptp.join @t62 @t28))) % 28.05/28.97 (step @p174 :rule instantiate :premises (@p8) :args (@t63)) % 28.05/28.97 (step @p175 :rule symm :premises (@p174)) % 28.05/28.97 (step @p176 :rule refl :args (tptp.b)) % 28.05/28.97 (step @p177 :rule cong :premises (@p176 @p22) :args (@t64)) % 28.05/28.97 (step @p178 :rule trans :premises (@p177 @p175 @p173 @p170 @p115 @p169 @p168)) % 28.05/28.97 (step @p179 :rule cong :premises (@p15 @p178) :args (@t65)) % 28.05/28.97 (step @p180 :rule trans :premises (@p179 @p86 @p84)) % 28.05/28.97 (step @p181 :rule symm :premises (@p73)) % 28.05/28.97 (step @p182 :rule symm :premises (@p134)) % 28.05/28.97 (step @p183 :rule symm :premises (@p133)) % 28.05/28.97 (step @p184 :rule cong :premises (@p94 @p15) :args (@t66)) % 28.05/28.97 (step @p185 :rule trans :premises (@p184 @p88 @p86 @p84)) % 28.05/28.97 (step @p186 :rule refl :args (@t52)) % 28.05/28.97 (step @p187 :rule cong :premises (@p186 @p185) :args ((tptp.join @t52 @t66))) % 28.05/28.97 (step @p188 :rule instantiate :premises (@p25) :args ((@list @t52 @t29))) % 28.05/28.97 (step @p189 :rule trans :premises (@p172 @p71 @p188 @p187 @p131 @p183 @p182 @p65 @p181)) % 28.05/28.97 (step @p190 :rule cong :premises (@p22 @p189) :args (@t67)) % 28.05/28.97 (step @p191 :rule trans :premises (@p190 @p76 @p64)) % 28.05/28.97 (step @p192 :rule trans :premises (@p191 @p21)) % 28.05/28.97 (step @p193 :rule cong :premises (@p192 @p180) :args (@t68)) % 28.05/28.97 (step @p194 :rule cong :premises (@p176 @p193) :args ((tptp.meet tptp.b @t68))) % 28.05/28.97 (step @p195 :rule symm :premises (@p193)) % 28.05/28.97 (step @p196 :rule trans :premises (@p59 @p143 @p158 @p157 @p156 @p155 @p154 @p150 @p58 @p56 @p195)) % 28.05/28.97 (step @p197 :rule cong :premises (@p176 @p196) :args ((tptp.meet tptp.b @t30))) % 28.05/28.97 (step @p198 :rule cong :premises (@p16 @p172) :args (@t69)) % 28.05/28.97 (step @p199 :rule trans :premises (@p198 @p121 @p92 @p26 @p47 @p46)) % 28.05/28.97 (step @p200 :rule cong :premises (@p15 @p172) :args ((tptp.meet @t29 @t62))) % 28.05/28.97 (step @p201 :rule trans :premises (@p200 @p86 @p84)) % 28.05/28.97 (step @p202 :rule symm :premises (@p200)) % 28.05/28.97 (step @p203 :rule instantiate :premises (@p19) :args (@t61)) % 28.05/28.97 (step @p204 :rule symm :premises (@p203)) % 28.05/28.97 (step @p205 :rule cong :premises (@p204 @p15) :args ((tptp.join (tptp.join tptp.b tptp.b) @t29))) % 28.05/28.97 (step @p206 :rule instantiate :premises (@p8) :args ((@list tptp.b tptp.b @t29))) % 28.05/28.97 (step @p207 :rule symm :premises (@p206)) % 28.05/28.97 (step @p208 :rule cong :premises (@p176 @p171) :args ((tptp.join tptp.b tptp.one))) % 28.05/28.97 (step @p209 :rule instantiate :premises (@p6) :args (@t70)) % 28.05/28.97 (step @p210 :rule symm :premises (@p209)) % 28.05/28.97 (step @p211 :rule instantiate :premises (@p62) :args ((@list tptp.b @t29))) % 28.05/28.97 (step @p212 :rule symm :premises (@p211)) % 28.05/28.97 (step @p213 :rule cong :premises (@p176 @p171) :args ((tptp.meet tptp.b tptp.one))) % 28.05/28.97 (step @p214 :rule instantiate :premises (@p5) :args (@t70)) % 28.05/28.97 (step @p215 :rule symm :premises (@p214)) % 28.05/28.97 (step @p216 :rule trans :premises (@p215 @p213 @p212)) % 28.05/28.97 (step @p217 :rule symm :premises (@p72)) % 28.05/28.97 (step @p218 :rule cong :premises (@p217 @p216) :args ((tptp.join @t72 @t71))) % 28.05/28.97 (step @p219 :rule instantiate :premises (@p8) :args ((@list @t28 tptp.a @t71))) % 28.05/28.97 (step @p220 :rule symm :premises (@p219)) % 28.05/28.97 (step @p221 :rule symm :premises (@p216)) % 28.05/28.97 (step @p222 :rule cong :premises (@p101 @p221) :args ((tptp.join tptp.a tptp.b))) % 28.05/28.97 (step @p223 :rule cong :premises (@p13 @p176) :args ((tptp.join @t27 tptp.b))) % 28.05/28.97 (step @p224 :rule instantiate :premises (@p6) :args ((@list tptp.b @t27))) % 28.05/28.97 (step @p225 :rule instantiate :premises (@p25) :args (@t59)) % 28.05/28.97 (step @p226 :rule trans :premises (@p225 @p224 @p223 @p222)) % 28.05/28.97 (step @p227 :rule cong :premises (@p16 @p226) :args ((tptp.join @t28 tptp.b))) % 28.05/28.97 (step @p228 :rule instantiate :premises (@p6) :args (@t73)) % 28.05/28.97 (step @p229 :rule trans :premises (@p228 @p227 @p220 @p218 @p210 @p208 @p207 @p205 @p172)) % 28.05/28.97 (step @p230 :rule cong :premises (@p15 @p229) :args (@t74)) % 28.05/28.97 (step @p231 :rule trans :premises (@p230 @p202)) % 28.05/28.97 (step @p232 :rule trans :premises (@p231 @p201)) % 28.05/28.97 (step @p233 :rule cong :premises (@p232 @p199) :args (@t75)) % 28.05/28.97 (step @p234 :rule trans :premises (@p233 @p37 @p22)) % 28.05/28.97 (step @p235 :rule cong :premises (@p176 @p234) :args ((tptp.meet tptp.b @t75))) % 28.05/28.97 (step @p236 :rule instantiate :premises (@p12) :args (@t63)) % 28.05/28.97 (step @p237 :rule symm :premises (@p236)) % 28.05/28.97 (step @p238 :rule instantiate :premises (@p5) :args (@t73)) % 28.05/28.97 (step @p239 :rule symm :premises (@p238)) % 28.05/28.97 (step @p240 :rule instantiate :premises (@p31) :args (@t61)) % 28.05/28.97 (step @p241 :rule cong :premises (@p240 @p239) :args (@t77)) % 28.05/28.97 (step @p242 :rule refl :args (@t76)) % 28.05/28.97 (step @p243 :rule instantiate :premises (@p62) :args ((@list tptp.zero @t36))) % 28.05/28.97 (step @p244 :rule symm :premises (@p243)) % 28.05/28.97 (step @p245 :rule symm :premises (@p36)) % 28.05/28.97 (step @p246 :rule refl :args (tptp.zero)) % 28.05/28.97 (step @p247 :rule cong :premises (@p246 @p245) :args (@t36)) % 28.05/28.97 (step @p248 :rule trans :premises (@p26 @p47 @p46 @p247)) % 28.05/28.97 (step @p249 :rule cong :premises (@p246 @p248) :args ((tptp.meet tptp.zero @t28))) % 28.05/28.97 (step @p250 :rule instantiate :premises (@p5) :args (@t35)) % 28.05/28.97 (step @p251 :rule symm :premises (@p250)) % 28.05/28.97 (step @p252 :rule trans :premises (@p251 @p249 @p244 @p32)) % 28.05/28.97 (step @p253 :rule trans :premises (@p252 @p79)) % 28.05/28.97 (step @p254 :rule cong :premises (@p253 @p242) :args ((tptp.join (tptp.meet @t28 tptp.zero) @t76))) % 28.05/28.97 (step @p255 :rule instantiate :premises (@p12) :args ((@list @t28 tptp.zero tptp.b))) % 28.05/28.97 (step @p256 :rule trans :premises (@p26 @p47)) % 28.05/28.97 (step @p257 :rule cong :premises (@p176 @p256) :args (@t78)) % 28.05/28.97 (step @p258 :rule trans :premises (@p239 @p257)) % 28.05/28.97 (step @p259 :rule symm :premises (@p227)) % 28.05/28.97 (step @p260 :rule symm :premises (@p218)) % 28.05/28.97 (step @p261 :rule symm :premises (@p208)) % 28.05/28.97 (step @p262 :rule symm :premises (@p205)) % 28.05/28.97 (step @p263 :rule instantiate :premises (@p25) :args (@t32)) % 28.05/28.97 (step @p264 :rule symm :premises (@p263)) % 28.05/28.97 (step @p265 :rule cong :premises (@p101 @p32) :args ((tptp.join tptp.a tptp.zero))) % 28.05/28.97 (step @p266 :rule instantiate :premises (@p6) :args ((@list tptp.a tptp.zero))) % 28.05/28.97 (step @p267 :rule symm :premises (@p266)) % 28.05/28.97 (step @p268 :rule trans :premises (@p267 @p265 @p264)) % 28.05/28.97 (step @p269 :rule cong :premises (@p268 @p117) :args ((tptp.join (tptp.join tptp.zero tptp.a) tptp.one))) % 28.05/28.97 (step @p270 :rule instantiate :premises (@p8) :args ((@list tptp.zero tptp.a tptp.one))) % 28.05/28.97 (step @p271 :rule symm :premises (@p270)) % 28.05/28.97 (step @p272 :rule symm :premises (@p111)) % 28.05/28.97 (step @p273 :rule symm :premises (@p106)) % 28.05/28.97 (step @p274 :rule symm :premises (@p67)) % 28.05/28.97 (step @p275 :rule trans :premises (@p274 @p273 @p107 @p272)) % 28.05/28.97 (step @p276 :rule cong :premises (@p246 @p275) :args (@t79)) % 28.05/28.97 (step @p277 :rule trans :premises (@p276 @p271 @p269 @p111 @p108 @p106 @p94 @p171 @p262 @p206 @p261 @p209 @p260 @p219 @p259)) % 28.05/28.97 (step @p278 :rule cong :premises (@p246 @p277) :args ((tptp.meet tptp.zero @t79))) % 28.05/28.97 (step @p279 :rule instantiate :premises (@p62) :args ((@list tptp.zero @t72))) % 28.05/28.97 (step @p280 :rule trans :premises (@p79 @p279 @p278)) % 28.05/28.97 (step @p281 :rule trans :premises (@p32 @p280)) % 28.05/28.97 (step @p282 :rule cong :premises (@p281 @p258) :args (@t77)) % 28.05/28.97 (step @p283 :rule symm :premises (@p241)) % 28.05/28.97 (step @p284 :rule symm :premises (@p235)) % 28.05/28.97 (step @p285 :rule cong :premises (@p176 @p22) :args (@t80)) % 28.05/28.97 (step @p286 :rule trans :premises (@p285 @p284 @p236 @p283 @p282)) % 28.05/28.97 (step @p287 :rule cong :premises (@p16 @p286) :args ((tptp.meet @t28 @t80))) % 28.05/28.97 (step @p288 :rule instantiate :premises (@p7) :args ((@list @t28 tptp.b @t40))) % 28.05/28.97 (step @p289 :rule refl :args (@t40)) % 28.05/28.97 (step @p290 :rule cong :premises (@p238 @p289) :args ((tptp.meet @t78 @t40))) % 28.05/28.97 (step @p291 :rule instantiate :premises (@p7) :args ((@list tptp.b @t28 @t40))) % 28.05/28.97 (step @p292 :rule symm :premises (@p291)) % 28.05/28.97 (step @p293 :rule trans :premises (@p78 @p21)) % 28.05/28.97 (step @p294 :rule cong :premises (@p16 @p293) :args ((tptp.meet @t28 @t54))) % 28.05/28.97 (step @p295 :rule instantiate :premises (@p62) :args ((@list @t28 @t29))) % 28.05/28.97 (step @p296 :rule trans :premises (@p295 @p294)) % 28.05/28.97 (step @p297 :rule cong :premises (@p176 @p296) :args (@t78)) % 28.05/28.97 (step @p298 :rule trans :premises (@p297 @p292 @p290 @p288 @p287 @p255 @p254 @p241 @p237 @p235 @p197 @p194)) % 28.05/28.97 (step @p299 :rule cong :premises (@p103 @p298) :args ((tptp.meet @t50 @t78))) % 28.05/28.97 (step @p300 :rule refl :args (@t78)) % 28.05/28.97 (step @p301 :rule cong :premises (@p100 @p300) :args ((tptp.meet tptp.a @t78))) % 28.05/28.97 (step @p302 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b @t28))) % 28.05/28.97 (step @p303 :rule symm :premises (@p164)) % 28.05/28.97 (step @p304 :rule cong :premises (@p303 @p16) :args (@t45)) % 28.05/28.97 (step @p305 :rule trans :premises (@p32 @p304 @p302 @p301 @p299 @p167 @p165 @p160)) % 28.05/28.97 (step @p306 :rule eq-symm :args (@t18 @t7)) % 28.05/28.97 (step @p307 :rule refl :args (@t23)) % 28.05/28.97 (step @p308 :rule refl :args (@t24)) % 28.05/28.97 (step @p309 :rule nary_cong :premises (@p308 @p307 @p306) :args (@t25)) % 28.05/28.97 (step @p310 :rule cong :premises (@p309) :args (@t26)) % 28.05/28.97 (step @p311 :rule eq_resolve :premises (@p11 @p310)) % 28.05/28.97 (step @p312 :rule eq-symm :args (@t60 @t28)) % 28.05/28.97 (step @p313 :rule eq-symm :args (@t81 tptp.one)) % 28.05/28.97 (step @p314 :rule cong :premises (@p313) :args (@t82)) % 28.05/28.97 (step @p315 :rule eq-symm :args (@t83 tptp.zero)) % 28.05/28.97 (step @p316 :rule cong :premises (@p315) :args (@t84)) % 28.05/28.97 (step @p317 :rule nary_cong :premises (@p316 @p314 @p312) :args (@t85)) % 28.05/28.97 (step @p318 :rule refl :args (@t86)) % 28.05/28.97 (step @p319 :rule cong :premises (@p318 @p317) :args ((=> @t86 @t85))) % 28.05/28.97 (assume-push @p359 @t86) % 28.05/28.97 (step @p321 :rule instantiate :premises (@p311) :args ((@list tptp.a @t60))) % 28.05/28.97 (step-pop @p360 :rule scope :premises (@p321)) % 28.05/28.97 (step @p322 :rule process_scope :premises (@p360) :args (@t85)) % 28.05/28.97 (step @p324 :rule eq_resolve :premises (@p322 @p319)) % 28.05/28.97 (step @p325 :rule implies_elim :premises (@p324)) % 28.05/28.97 (step @p326 :rule chain_m_resolution :premises (@p325 @p311) :args (@t92 @t39 (@list @t86))) % 28.05/28.97 (step @p327 :rule symm :premises (@p14)) % 28.05/28.97 (step @p328 :rule false_intro :premises (@p327)) % 28.05/28.97 (step @p329 :rule symm :premises (@p155)) % 28.05/28.97 (step @p330 :rule trans :premises (@p59 @p143 @p158 @p157 @p156)) % 28.05/28.97 (step @p331 :rule cong :premises (@p330 @p151) :args (@t44)) % 28.05/28.97 (step @p332 :rule cong :premises (@p153 @p331) :args (@t57)) % 28.05/28.97 (step @p333 :rule trans :premises (@p65 @p181)) % 28.05/28.97 (step @p334 :rule cong :premises (@p75 @p333) :args ((tptp.meet @t30 (tptp.join @t30 tptp.a)))) % 28.05/28.97 (step @p335 :rule trans :premises (@p78 @p63 @p334)) % 28.05/28.97 (step @p336 :rule trans :premises (@p22 @p330)) % 28.05/28.97 (step @p337 :rule cong :premises (@p336 @p335) :args ((tptp.join @t40 @t54))) % 28.05/28.97 (step @p338 :rule cong :premises (@p21 @p16) :args ((tptp.join @t30 @t28))) % 28.05/28.97 (step @p339 :rule symm :premises (@p52)) % 28.05/28.97 (step @p340 :rule trans :premises (@p35 @p34 @p27 @p48)) % 28.05/28.97 (step @p341 :rule cong :premises (@p15 @p340) :args (@t37)) % 28.05/28.97 (step @p342 :rule symm :premises (@p20)) % 28.05/28.97 (step @p343 :rule cong :premises (@p342 @p245) :args (@t40)) % 28.05/28.97 (step @p344 :rule trans :premises (@p21 @p343 @p341 @p339 @p338)) % 28.05/28.97 (step @p345 :rule trans :premises (@p22 @p344)) % 28.05/28.97 (step @p346 :rule cong :premises (@p345 @p15) :args (@t60)) % 28.05/28.97 (step @p347 :rule trans :premises (@p346 @p57 @p337 @p332 @p329 @p147 @p125 @p124 @p82 @p78)) % 28.05/28.97 (step @p348 :rule cong :premises (@p16 @p347) :args (@t87)) % 28.05/28.97 (step @p349 :rule trans :premises (@p348 @p328)) % 28.05/28.97 (step @p350 :rule false_elim :premises (@p349)) % 28.05/28.97 (step @p351 :rule trans :premises (@p59 @p143 @p158 @p157 @p156 @p155 @p154 @p150 @p58 @p56)) % 28.05/28.97 (step @p352 :rule cong :premises (@p101 @p351) :args (@t53)) % 28.05/28.97 (step @p353 :rule trans :premises (@p71 @p188 @p187 @p131 @p183 @p352)) % 28.05/28.97 (step @p354 :rule cnf_or_pos :args (@t92)) % 28.05/28.97 (step @p355 :rule reordering :premises (@p354) :args ((or @t91 @t89 @t87 (not @t92)))) % 28.05/28.97 (step @p356 false :rule chain_m_resolution :premises (@p355 @p353 @p350 @p326 @p305) :args (false (@list false true false false) (@list @t88 @t87 @t92 @t90))) % 28.05/28.97 ) % 28.05/28.97 % SZS output end Proof % 28.05/28.97 % cvc5 exiting %------------------------------------------------------------------------------