%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT236-1 : 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 : n024.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 08:29:57 AM UTC 2026 % Result : Unsatisfiable 30.81s 31.05s % Output : Proof 30.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : LAT236-1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n024.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 01:05:30 EDT 2026 % 0.06/0.25 % CPUTime : % 0.06/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.20/15.48 --- Run --no-e-matching --full-saturate-quant at 6... % 21.31/21.50 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.30/27.52 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 30.81/31.05 % SZS status Unsatisfiable % 30.81/31.05 % SZS output start Proof % 30.81/31.06 ( % 30.81/31.06 (declare-sort $$unsorted 0) % 30.81/31.06 (declare-const tptp.b $$unsorted) % 30.81/31.06 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 30.81/31.06 (declare-const tptp.one $$unsorted) % 30.81/31.06 (declare-const tptp.zero $$unsorted) % 30.81/31.06 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 30.81/31.06 (declare-const tptp.a $$unsorted) % 30.81/31.06 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 30.81/31.06 (define @t1 () (@var "X" $$unsorted)) % 30.81/31.06 (define @t2 () (tptp.meet @t1 @t1)) % 30.81/31.06 (define @t3 () (@list @t1)) % 30.81/31.06 (define @t4 () (forall @t3 (= @t2 @t1))) % 30.81/31.06 (define @t5 () (tptp.join @t1 @t1)) % 30.81/31.06 (define @t6 () (forall @t3 (= @t5 @t1))) % 30.81/31.06 (define @t7 () (@var "Y" $$unsorted)) % 30.81/31.06 (define @t8 () (tptp.join @t1 @t7)) % 30.81/31.06 (define @t9 () (tptp.meet @t1 @t8)) % 30.81/31.06 (define @t10 () (@list @t1 @t7)) % 30.81/31.06 (define @t11 () (forall @t10 (= @t9 @t1))) % 30.81/31.06 (define @t12 () (tptp.meet @t1 @t7)) % 30.81/31.06 (define @t13 () (tptp.join @t1 @t12)) % 30.81/31.06 (define @t14 () (forall @t10 (= @t13 @t1))) % 30.81/31.06 (define @t15 () (forall @t10 (= @t8 (tptp.join @t7 @t1)))) % 30.81/31.06 (define @t16 () (@var "Z" $$unsorted)) % 30.81/31.06 (define @t17 () (@list @t1 @t7 @t16)) % 30.81/31.06 (define @t18 () (tptp.complement @t1)) % 30.81/31.06 (define @t19 () (tptp.join @t1 @t18)) % 30.81/31.06 (define @t20 () (forall @t3 (= @t19 tptp.one))) % 30.81/31.06 (define @t21 () (tptp.meet @t1 @t18)) % 30.81/31.06 (define @t22 () (forall @t3 (= @t21 tptp.zero))) % 30.81/31.06 (define @t23 () (not (= @t8 tptp.one))) % 30.81/31.06 (define @t24 () (not (= @t12 tptp.zero))) % 30.81/31.06 (define @t25 () (or @t24 @t23 (= @t18 @t7))) % 30.81/31.06 (define @t26 () (forall @t10 @t25)) % 30.81/31.06 (define @t27 () (@var "U" $$unsorted)) % 30.81/31.06 (define @t28 () (tptp.complement tptp.a)) % 30.81/31.06 (define @t29 () (tptp.complement tptp.b)) % 30.81/31.06 (define @t30 () (tptp.join @t29 @t28)) % 30.81/31.06 (define @t31 () (tptp.meet tptp.b @t28)) % 30.81/31.06 (define @t32 () (tptp.meet tptp.a @t28)) % 30.81/31.06 (define @t33 () (@list tptp.a)) % 30.81/31.06 (define @t34 () (@list @t29)) % 30.81/31.06 (define @t35 () (tptp.join tptp.zero @t28)) % 30.81/31.06 (define @t36 () (tptp.join @t29 @t35)) % 30.81/31.06 (define @t37 () (tptp.join @t28 tptp.zero)) % 30.81/31.06 (define @t38 () (= @t35 @t37)) % 30.81/31.06 (define @t39 () (@list false)) % 30.81/31.06 (define @t40 () (@list tptp.a @t28)) % 30.81/31.06 (define @t41 () (tptp.meet @t28 tptp.a)) % 30.81/31.06 (define @t42 () (tptp.join (tptp.join @t29 @t29) @t28)) % 30.81/31.06 (define @t43 () (@list @t29 @t28)) % 30.81/31.06 (define @t44 () (tptp.complement @t29)) % 30.81/31.06 (define @t45 () (tptp.meet @t29 (tptp.join tptp.a @t28))) % 30.81/31.06 (define @t46 () (tptp.join @t28 @t45)) % 30.81/31.06 (define @t47 () (tptp.meet @t29 @t28)) % 30.81/31.06 (define @t48 () (tptp.meet tptp.a (tptp.join @t29 @t47))) % 30.81/31.06 (define @t49 () (tptp.join @t28 @t48)) % 30.81/31.06 (define @t50 () (tptp.join tptp.zero @t35)) % 30.81/31.06 (define @t51 () (@list tptp.b)) % 30.81/31.06 (define @t52 () (@list tptp.b @t29)) % 30.81/31.06 (define @t53 () (tptp.meet @t29 tptp.b)) % 30.81/31.06 (define @t54 () (tptp.join tptp.a (tptp.meet @t31 @t29))) % 30.81/31.06 (define @t55 () (@list tptp.b tptp.b @t29)) % 30.81/31.06 (define @t56 () (tptp.meet tptp.b tptp.zero)) % 30.81/31.06 (define @t57 () (tptp.join tptp.a @t56)) % 30.81/31.06 (define @t58 () (tptp.meet tptp.b @t57)) % 30.81/31.06 (define @t59 () (tptp.meet tptp.a tptp.b)) % 30.81/31.06 (define @t60 () (tptp.join @t42 (tptp.meet @t31 tptp.a))) % 30.81/31.06 (define @t61 () (tptp.join tptp.a @t60)) % 30.81/31.06 (define @t62 () (not (= @t61 tptp.one))) % 30.81/31.06 (define @t63 () (tptp.meet tptp.a @t60)) % 30.81/31.06 (define @t64 () (not (= @t63 tptp.zero))) % 30.81/31.06 (define @t65 () (or @t64 @t62 (= @t60 @t28))) % 30.81/31.06 (define @t66 () (forall @t10 (or @t24 @t23 (= @t7 @t18)))) % 30.81/31.06 (define @t67 () (= @t28 @t60)) % 30.81/31.06 (define @t68 () (= tptp.one @t61)) % 30.81/31.06 (define @t69 () (not @t68)) % 30.81/31.06 (define @t70 () (= tptp.zero @t63)) % 30.81/31.06 (define @t71 () (not @t70)) % 30.81/31.06 (define @t72 () (or @t71 @t69 @t67)) % 30.81/31.06 (define @t73 () (@list @t66)) % 30.81/31.06 (define @t74 () (@list tptp.one)) % 30.81/31.06 (define @t75 () (= tptp.b @t44)) % 30.81/31.06 (define @t76 () (tptp.join @t29 tptp.b)) % 30.81/31.06 (define @t77 () (not (= @t76 tptp.one))) % 30.81/31.06 (define @t78 () (not (= @t53 tptp.zero))) % 30.81/31.06 (define @t79 () (or @t78 @t77 @t75)) % 30.81/31.06 (define @t80 () (= tptp.one @t76)) % 30.81/31.06 (define @t81 () (not @t80)) % 30.81/31.06 (define @t82 () (= tptp.zero @t53)) % 30.81/31.06 (define @t83 () (not @t82)) % 30.81/31.06 (define @t84 () (or @t83 @t81 @t75)) % 30.81/31.06 (define @t85 () (tptp.meet tptp.one tptp.one)) % 30.81/31.06 (define @t86 () (tptp.join @t44 @t85)) % 30.81/31.06 (assume @p1 @t4) % 30.81/31.06 (assume @p2 @t6) % 30.81/31.06 (assume @p3 @t11) % 30.81/31.06 (assume @p4 @t14) % 30.81/31.06 (assume @p5 (forall @t10 (= @t12 (tptp.meet @t7 @t1)))) % 30.81/31.06 (assume @p6 @t15) % 30.81/31.06 (assume @p7 (forall @t17 (= (tptp.meet @t12 @t16) (tptp.meet @t1 (tptp.meet @t7 @t16))))) % 30.81/31.06 (assume @p8 (forall @t17 (= (tptp.join @t8 @t16) (tptp.join @t1 (tptp.join @t7 @t16))))) % 30.81/31.06 (assume @p9 @t20) % 30.81/31.06 (assume @p10 @t22) % 30.81/31.06 (assume @p11 @t26) % 30.81/31.06 (assume @p12 (forall (@list @t1 @t7 @t16 @t27) (= (tptp.meet @t1 (tptp.join @t7 (tptp.meet @t16 (tptp.join @t1 @t27)))) (tptp.meet @t1 (tptp.join @t7 (tptp.meet @t16 (tptp.join @t27 (tptp.meet @t1 @t16)))))))) % 30.81/31.06 (assume @p13 (= (tptp.meet tptp.b tptp.a) tptp.a)) % 30.81/31.06 (assume @p14 (not (= @t30 @t28))) % 30.81/31.06 (step @p15 :rule instantiate :premises (@p5) :args ((@list tptp.a @t31))) % 30.81/31.06 (step @p16 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b @t28))) % 30.81/31.06 (step @p17 :rule refl :args (@t28)) % 30.81/31.06 (step @p18 :rule instantiate :premises (@p5) :args ((@list tptp.b tptp.a))) % 30.81/31.06 (step @p19 :rule symm :premises (@p13)) % 30.81/31.06 (step @p20 :rule trans :premises (@p19 @p18)) % 30.81/31.06 (step @p21 :rule cong :premises (@p20 @p17) :args (@t32)) % 30.81/31.06 (step @p22 :rule eq-symm :args (@t21 tptp.zero)) % 30.81/31.06 (step @p23 :rule cong :premises (@p22) :args (@t22)) % 30.81/31.06 (step @p24 :rule eq_resolve :premises (@p10 @p23)) % 30.81/31.06 (step @p25 :rule instantiate :premises (@p24) :args (@t33)) % 30.81/31.06 (step @p26 :rule trans :premises (@p25 @p21 @p16 @p15)) % 30.81/31.06 (step @p27 :rule eq-symm :args (@t5 @t1)) % 30.81/31.06 (step @p28 :rule cong :premises (@p27) :args (@t6)) % 30.81/31.06 (step @p29 :rule eq_resolve :premises (@p2 @p28)) % 30.81/31.06 (step @p30 :rule instantiate :premises (@p29) :args (@t34)) % 30.81/31.06 (step @p31 :rule cong :premises (@p30 @p17) :args (@t30)) % 30.81/31.06 (step @p32 :rule cong :premises (@p31 @p26) :args ((tptp.join @t30 tptp.zero))) % 30.81/31.06 (step @p33 :rule instantiate :premises (@p8) :args ((@list @t29 @t28 tptp.zero))) % 30.81/31.06 (step @p34 :rule symm :premises (@p33)) % 30.81/31.06 (step @p35 :rule instantiate :premises (@p6) :args ((@list tptp.zero @t28))) % 30.81/31.06 (step @p36 :rule refl :args (@t29)) % 30.81/31.06 (step @p37 :rule cong :premises (@p36 @p35) :args (@t36)) % 30.81/31.06 (step @p38 :rule eq-symm :args (@t35 @t37)) % 30.81/31.06 (step @p39 :rule refl :args (@t15)) % 30.81/31.06 (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t15 @t38))) % 30.81/31.06 (assume-push @p240 @t15) % 30.81/31.06 (step-pop @p241 :rule scope :premises (@p35)) % 30.81/31.06 (step @p42 :rule process_scope :premises (@p241) :args (@t38)) % 30.81/31.06 (step @p44 :rule eq_resolve :premises (@p42 @p40)) % 30.81/31.06 (step @p45 :rule implies_elim :premises (@p44)) % 30.81/31.06 (step @p46 :rule chain_m_resolution :premises (@p45 @p6) :args ((= @t37 @t35) @t39 (@list @t15))) % 30.81/31.06 (step @p47 :rule symm :premises (@p25)) % 30.81/31.06 (step @p48 :rule instantiate :premises (@p5) :args (@t40)) % 30.81/31.06 (step @p49 :rule symm :premises (@p48)) % 30.81/31.06 (step @p50 :rule trans :premises (@p49 @p47)) % 30.81/31.06 (step @p51 :rule cong :premises (@p17 @p50) :args ((tptp.join @t28 @t41))) % 30.81/31.06 (step @p52 :rule eq-symm :args (@t13 @t1)) % 30.81/31.06 (step @p53 :rule cong :premises (@p52) :args (@t14)) % 30.81/31.06 (step @p54 :rule eq_resolve :premises (@p4 @p53)) % 30.81/31.06 (step @p55 :rule instantiate :premises (@p54) :args ((@list @t28 tptp.a))) % 30.81/31.06 (step @p56 :rule trans :premises (@p55 @p51 @p46)) % 30.81/31.06 (step @p57 :rule symm :premises (@p30)) % 30.81/31.06 (step @p58 :rule cong :premises (@p57 @p56) :args (@t42)) % 30.81/31.06 (step @p59 :rule instantiate :premises (@p6) :args (@t43)) % 30.81/31.06 (step @p60 :rule symm :premises (@p59)) % 30.81/31.06 (step @p61 :rule eq-symm :args (@t9 @t1)) % 30.81/31.06 (step @p62 :rule cong :premises (@p61) :args (@t11)) % 30.81/31.06 (step @p63 :rule eq_resolve :premises (@p3 @p62)) % 30.81/31.06 (step @p64 :rule instantiate :premises (@p63) :args ((@list @t29 @t44))) % 30.81/31.06 (step @p65 :rule symm :premises (@p64)) % 30.81/31.06 (step @p66 :rule eq-symm :args (@t19 tptp.one)) % 30.81/31.06 (step @p67 :rule cong :premises (@p66) :args (@t20)) % 30.81/31.06 (step @p68 :rule eq_resolve :premises (@p9 @p67)) % 30.81/31.06 (step @p69 :rule instantiate :premises (@p68) :args (@t34)) % 30.81/31.06 (step @p70 :rule cong :premises (@p36 @p69) :args ((tptp.meet @t29 tptp.one))) % 30.81/31.06 (step @p71 :rule instantiate :premises (@p68) :args (@t33)) % 30.81/31.06 (step @p72 :rule symm :premises (@p71)) % 30.81/31.06 (step @p73 :rule cong :premises (@p36 @p72) :args (@t45)) % 30.81/31.06 (step @p74 :rule trans :premises (@p73 @p70 @p65)) % 30.81/31.06 (step @p75 :rule cong :premises (@p17 @p74) :args (@t46)) % 30.81/31.06 (step @p76 :rule trans :premises (@p75 @p60 @p31 @p58 @p37 @p34 @p32)) % 30.81/31.06 (step @p77 :rule refl :args (tptp.a)) % 30.81/31.06 (step @p78 :rule cong :premises (@p77 @p76) :args ((tptp.meet tptp.a @t46))) % 30.81/31.06 (step @p79 :rule instantiate :premises (@p12) :args ((@list tptp.a @t28 @t29 @t28))) % 30.81/31.06 (step @p80 :rule symm :premises (@p79)) % 30.81/31.06 (step @p81 :rule instantiate :premises (@p54) :args (@t43)) % 30.81/31.06 (step @p82 :rule symm :premises (@p81)) % 30.81/31.06 (step @p83 :rule cong :premises (@p77 @p82) :args (@t48)) % 30.81/31.06 (step @p84 :rule cong :premises (@p17 @p83) :args (@t49)) % 30.81/31.06 (step @p85 :rule cong :premises (@p36 @p84) :args ((tptp.meet @t29 @t49))) % 30.81/31.06 (step @p86 :rule symm :premises (@p83)) % 30.81/31.06 (step @p87 :rule instantiate :premises (@p54) :args (@t40)) % 30.81/31.06 (step @p88 :rule symm :premises (@p87)) % 30.81/31.06 (step @p89 :rule instantiate :premises (@p63) :args ((@list tptp.zero @t35))) % 30.81/31.06 (step @p90 :rule symm :premises (@p89)) % 30.81/31.06 (step @p91 :rule refl :args (@t50)) % 30.81/31.06 (step @p92 :rule instantiate :premises (@p24) :args (@t51)) % 30.81/31.06 (step @p93 :rule symm :premises (@p92)) % 30.81/31.06 (step @p94 :rule instantiate :premises (@p5) :args (@t52)) % 30.81/31.06 (step @p95 :rule symm :premises (@p94)) % 30.81/31.06 (step @p96 :rule trans :premises (@p95 @p93)) % 30.81/31.06 (step @p97 :rule cong :premises (@p96 @p91) :args ((tptp.meet @t53 @t50))) % 30.81/31.06 (step @p98 :rule instantiate :premises (@p7) :args ((@list @t29 tptp.b @t50))) % 30.81/31.06 (step @p99 :rule symm :premises (@p98)) % 30.81/31.06 (step @p100 :rule refl :args (tptp.zero)) % 30.81/31.06 (step @p101 :rule cong :premises (@p100 @p56) :args (@t35)) % 30.81/31.06 (step @p102 :rule trans :premises (@p55 @p51 @p46 @p101)) % 30.81/31.06 (step @p103 :rule refl :args (tptp.b)) % 30.81/31.06 (step @p104 :rule cong :premises (@p103 @p102) :args (@t31)) % 30.81/31.06 (step @p105 :rule cong :premises (@p36 @p104) :args ((tptp.meet @t29 @t31))) % 30.81/31.06 (step @p106 :rule instantiate :premises (@p5) :args ((@list @t29 @t31))) % 30.81/31.06 (step @p107 :rule symm :premises (@p106)) % 30.81/31.06 (step @p108 :rule trans :premises (@p107 @p105 @p99 @p97 @p90 @p25)) % 30.81/31.06 (step @p109 :rule cong :premises (@p77 @p108) :args (@t54)) % 30.81/31.06 (step @p110 :rule trans :premises (@p109 @p88)) % 30.81/31.06 (step @p111 :rule cong :premises (@p110 @p36) :args ((tptp.meet @t54 @t29))) % 30.81/31.06 (step @p112 :rule instantiate :premises (@p5) :args ((@list @t29 @t54))) % 30.81/31.06 (step @p113 :rule symm :premises (@p110)) % 30.81/31.06 (step @p114 :rule cong :premises (@p36 @p113) :args ((tptp.meet @t29 tptp.a))) % 30.81/31.06 (step @p115 :rule eq-symm :args (@t2 @t1)) % 30.81/31.06 (step @p116 :rule cong :premises (@p115) :args (@t4)) % 30.81/31.06 (step @p117 :rule eq_resolve :premises (@p1 @p116)) % 30.81/31.06 (step @p118 :rule instantiate :premises (@p117) :args (@t51)) % 30.81/31.06 (step @p119 :rule symm :premises (@p118)) % 30.81/31.06 (step @p120 :rule cong :premises (@p119 @p36) :args ((tptp.meet (tptp.meet tptp.b tptp.b) @t29))) % 30.81/31.06 (step @p121 :rule instantiate :premises (@p7) :args (@t55)) % 30.81/31.06 (step @p122 :rule symm :premises (@p121)) % 30.81/31.06 (step @p123 :rule cong :premises (@p103 @p92) :args (@t56)) % 30.81/31.06 (step @p124 :rule trans :premises (@p123 @p122 @p120 @p93 @p25)) % 30.81/31.06 (step @p125 :rule cong :premises (@p77 @p124) :args (@t57)) % 30.81/31.06 (step @p126 :rule trans :premises (@p125 @p88)) % 30.81/31.06 (step @p127 :rule cong :premises (@p103 @p126) :args (@t58)) % 30.81/31.06 (step @p128 :rule trans :premises (@p127 @p13)) % 30.81/31.06 (step @p129 :rule cong :premises (@p36 @p128) :args ((tptp.meet @t29 @t58))) % 30.81/31.06 (step @p130 :rule instantiate :premises (@p7) :args ((@list @t29 tptp.b @t57))) % 30.81/31.06 (step @p131 :rule symm :premises (@p126)) % 30.81/31.06 (step @p132 :rule symm :premises (@p96)) % 30.81/31.06 (step @p133 :rule cong :premises (@p132 @p131) :args ((tptp.meet tptp.zero tptp.a))) % 30.81/31.06 (step @p134 :rule cong :premises (@p50 @p77) :args ((tptp.meet @t41 tptp.a))) % 30.81/31.06 (step @p135 :rule instantiate :premises (@p7) :args ((@list @t28 tptp.a tptp.a))) % 30.81/31.06 (step @p136 :rule symm :premises (@p135)) % 30.81/31.06 (step @p137 :rule instantiate :premises (@p117) :args (@t33)) % 30.81/31.06 (step @p138 :rule symm :premises (@p18)) % 30.81/31.06 (step @p139 :rule trans :premises (@p138 @p13 @p137)) % 30.81/31.06 (step @p140 :rule cong :premises (@p17 @p139) :args ((tptp.meet @t28 @t59))) % 30.81/31.06 (step @p141 :rule cong :premises (@p17 @p20) :args (@t41)) % 30.81/31.06 (step @p142 :rule trans :premises (@p25 @p48 @p141 @p140 @p136 @p134 @p133 @p130 @p129 @p114 @p112 @p111 @p86)) % 30.81/31.06 (step @p143 :rule cong :premises (@p17 @p142) :args (@t37)) % 30.81/31.06 (step @p144 :rule trans :premises (@p55 @p51 @p143)) % 30.81/31.06 (step @p145 :rule cong :premises (@p36 @p144) :args (@t47)) % 30.81/31.06 (step @p146 :rule instantiate :premises (@p5) :args (@t43)) % 30.81/31.06 (step @p147 :rule symm :premises (@p146)) % 30.81/31.06 (step @p148 :rule trans :premises (@p147 @p145 @p85)) % 30.81/31.06 (step @p149 :rule cong :premises (@p17 @p148) :args ((tptp.join @t28 (tptp.meet @t28 @t29)))) % 30.81/31.06 (step @p150 :rule instantiate :premises (@p54) :args ((@list @t28 @t29))) % 30.81/31.06 (step @p151 :rule trans :premises (@p150 @p149)) % 30.81/31.06 (step @p152 :rule cong :premises (@p77 @p151) :args (@t32)) % 30.81/31.06 (step @p153 :rule trans :premises (@p25 @p152 @p80 @p78)) % 30.81/31.06 (step @p154 :rule eq-symm :args (@t18 @t7)) % 30.81/31.06 (step @p155 :rule refl :args (@t23)) % 30.81/31.06 (step @p156 :rule refl :args (@t24)) % 30.81/31.06 (step @p157 :rule nary_cong :premises (@p156 @p155 @p154) :args (@t25)) % 30.81/31.06 (step @p158 :rule cong :premises (@p157) :args (@t26)) % 30.81/31.06 (step @p159 :rule eq_resolve :premises (@p11 @p158)) % 30.81/31.06 (step @p160 :rule eq-symm :args (@t60 @t28)) % 30.81/31.06 (step @p161 :rule eq-symm :args (@t61 tptp.one)) % 30.81/31.06 (step @p162 :rule cong :premises (@p161) :args (@t62)) % 30.81/31.06 (step @p163 :rule eq-symm :args (@t63 tptp.zero)) % 30.81/31.06 (step @p164 :rule cong :premises (@p163) :args (@t64)) % 30.81/31.06 (step @p165 :rule nary_cong :premises (@p164 @p162 @p160) :args (@t65)) % 30.81/31.06 (step @p166 :rule refl :args (@t66)) % 30.81/31.06 (step @p167 :rule cong :premises (@p166 @p165) :args ((=> @t66 @t65))) % 30.81/31.06 (assume-push @p242 @t66) % 30.81/31.06 (step @p169 :rule instantiate :premises (@p159) :args ((@list tptp.a @t60))) % 30.81/31.06 (step-pop @p243 :rule scope :premises (@p169)) % 30.81/31.06 (step @p170 :rule process_scope :premises (@p243) :args (@t65)) % 30.81/31.06 (step @p172 :rule eq_resolve :premises (@p170 @p167)) % 30.81/31.06 (step @p173 :rule implies_elim :premises (@p172)) % 30.81/31.06 (step @p174 :rule chain_m_resolution :premises (@p173 @p159) :args (@t72 @t39 @t73)) % 30.81/31.06 (step @p175 :rule symm :premises (@p14)) % 30.81/31.06 (step @p176 :rule false_intro :premises (@p175)) % 30.81/31.06 (step @p177 :rule cong :premises (@p57 @p17) :args (@t42)) % 30.81/31.06 (step @p178 :rule symm :premises (@p55)) % 30.81/31.06 (step @p179 :rule trans :premises (@p25 @p48)) % 30.81/31.06 (step @p180 :rule cong :premises (@p17 @p179) :args (@t37)) % 30.81/31.06 (step @p181 :rule trans :premises (@p35 @p180 @p178)) % 30.81/31.06 (step @p182 :rule cong :premises (@p30 @p181) :args (@t36)) % 30.81/31.06 (step @p183 :rule cong :premises (@p36 @p46) :args ((tptp.join @t29 @t37))) % 30.81/31.06 (step @p184 :rule trans :premises (@p138 @p13)) % 30.81/31.06 (step @p185 :rule cong :premises (@p184 @p17) :args ((tptp.meet @t59 @t28))) % 30.81/31.06 (step @p186 :rule symm :premises (@p16)) % 30.81/31.06 (step @p187 :rule symm :premises (@p15)) % 30.81/31.06 (step @p188 :rule trans :premises (@p187 @p186 @p185 @p47)) % 30.81/31.06 (step @p189 :rule cong :premises (@p177 @p188) :args (@t60)) % 30.81/31.06 (step @p190 :rule trans :premises (@p189 @p33 @p183 @p182 @p177)) % 30.81/31.06 (step @p191 :rule cong :premises (@p17 @p190) :args (@t67)) % 30.81/31.06 (step @p192 :rule trans :premises (@p191 @p176)) % 30.81/31.06 (step @p193 :rule false_elim :premises (@p192)) % 30.81/31.06 (step @p194 :rule trans :premises (@p31 @p58 @p37 @p34 @p32)) % 30.81/31.06 (step @p195 :rule cong :premises (@p77 @p194) :args ((tptp.join tptp.a @t30))) % 30.81/31.06 (step @p196 :rule instantiate :premises (@p6) :args ((@list @t30 tptp.a))) % 30.81/31.06 (step @p197 :rule instantiate :premises (@p8) :args ((@list @t29 @t28 tptp.a))) % 30.81/31.06 (step @p198 :rule symm :premises (@p197)) % 30.81/31.06 (step @p199 :rule instantiate :premises (@p6) :args (@t40)) % 30.81/31.06 (step @p200 :rule instantiate :premises (@p68) :args (@t51)) % 30.81/31.06 (step @p201 :rule symm :premises (@p200)) % 30.81/31.06 (step @p202 :rule instantiate :premises (@p29) :args (@t51)) % 30.81/31.06 (step @p203 :rule symm :premises (@p202)) % 30.81/31.06 (step @p204 :rule cong :premises (@p203 @p36) :args ((tptp.join (tptp.join tptp.b tptp.b) @t29))) % 30.81/31.06 (step @p205 :rule instantiate :premises (@p8) :args (@t55)) % 30.81/31.06 (step @p206 :rule symm :premises (@p205)) % 30.81/31.06 (step @p207 :rule cong :premises (@p103 @p200) :args ((tptp.join tptp.b tptp.one))) % 30.81/31.06 (step @p208 :rule instantiate :premises (@p117) :args (@t74)) % 30.81/31.06 (step @p209 :rule symm :premises (@p208)) % 30.81/31.06 (step @p210 :rule refl :args (@t75)) % 30.81/31.06 (step @p211 :rule eq-symm :args (@t76 tptp.one)) % 30.81/31.06 (step @p212 :rule cong :premises (@p211) :args (@t77)) % 30.81/31.06 (step @p213 :rule eq-symm :args (@t53 tptp.zero)) % 30.81/31.06 (step @p214 :rule cong :premises (@p213) :args (@t78)) % 30.81/31.06 (step @p215 :rule nary_cong :premises (@p214 @p212 @p210) :args (@t79)) % 30.81/31.06 (step @p216 :rule cong :premises (@p166 @p215) :args ((=> @t66 @t79))) % 30.81/31.06 (assume-push @p244 @t66) % 30.81/31.06 (step @p218 :rule instantiate :premises (@p159) :args ((@list @t29 tptp.b))) % 30.81/31.06 (step-pop @p245 :rule scope :premises (@p218)) % 30.81/31.06 (step @p219 :rule process_scope :premises (@p245) :args (@t79)) % 30.81/31.06 (step @p221 :rule eq_resolve :premises (@p219 @p216)) % 30.81/31.06 (step @p222 :rule implies_elim :premises (@p221)) % 30.81/31.06 (step @p223 :rule chain_m_resolution :premises (@p222 @p159) :args (@t84 @t39 @t73)) % 30.81/31.06 (step @p224 :rule instantiate :premises (@p6) :args (@t52)) % 30.81/31.06 (step @p225 :rule trans :premises (@p200 @p224)) % 30.81/31.06 (step @p226 :rule cnf_or_pos :args (@t84)) % 30.81/31.06 (step @p227 :rule reordering :premises (@p226) :args ((or @t75 @t83 @t81 (not @t84)))) % 30.81/31.06 (step @p228 :rule chain_m_resolution :premises (@p227 @p132 @p225 @p223) :args (@t75 (@list false false false) (@list @t82 @t80 @t84))) % 30.81/31.06 (step @p229 :rule symm :premises (@p228)) % 30.81/31.06 (step @p230 :rule cong :premises (@p229 @p209) :args (@t86)) % 30.81/31.06 (step @p231 :rule trans :premises (@p230 @p207 @p206 @p204 @p201 @p71 @p199)) % 30.81/31.06 (step @p232 :rule cong :premises (@p36 @p231) :args ((tptp.join @t29 @t86))) % 30.81/31.06 (step @p233 :rule instantiate :premises (@p8) :args ((@list @t29 @t44 @t85))) % 30.81/31.06 (step @p234 :rule cong :premises (@p69 @p208) :args ((tptp.join tptp.one tptp.one))) % 30.81/31.06 (step @p235 :rule instantiate :premises (@p29) :args (@t74)) % 30.81/31.06 (step @p236 :rule trans :premises (@p235 @p234 @p233 @p232 @p198 @p196 @p195)) % 30.81/31.06 (step @p237 :rule cnf_or_pos :args (@t72)) % 30.81/31.06 (step @p238 :rule reordering :premises (@p237) :args ((or @t71 @t69 @t67 (not @t72)))) % 30.81/31.06 (step @p239 false :rule chain_m_resolution :premises (@p238 @p236 @p193 @p174 @p153) :args (false (@list false true false false) (@list @t68 @t67 @t72 @t70))) % 30.81/31.06 ) % 30.81/31.06 % SZS output end Proof % 30.81/31.06 % cvc5 exiting %------------------------------------------------------------------------------