%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT163-1 : 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 : n017.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 08:29:51 AM UTC 2026 % Result : Unsatisfiable 57.34s 57.57s % Output : Proof 57.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT163-1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 05:53:31 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----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... % 0.34/15.61 --- Run --no-e-matching --full-saturate-quant at 6... % 21.43/21.63 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.45/27.65 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.55/33.72 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 57.34/57.57 % SZS status Unsatisfiable % 57.34/57.57 % SZS output start Proof % 57.34/57.58 ( % 57.34/57.58 (declare-sort $$unsorted 0) % 57.34/57.58 (declare-const tptp.c $$unsorted) % 57.34/57.58 (declare-const tptp.a $$unsorted) % 57.34/57.58 (declare-const tptp.b $$unsorted) % 57.34/57.58 (declare-const tptp.d $$unsorted) % 57.34/57.58 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 57.34/57.58 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 57.34/57.58 (define @t1 () (@var "X" $$unsorted)) % 57.34/57.58 (define @t2 () (@list @t1)) % 57.34/57.58 (define @t3 () (@var "Y" $$unsorted)) % 57.34/57.58 (define @t4 () (tptp.join @t1 @t3)) % 57.34/57.58 (define @t5 () (tptp.meet @t1 @t4)) % 57.34/57.58 (define @t6 () (@list @t1 @t3)) % 57.34/57.58 (define @t7 () (forall @t6 (= @t5 @t1))) % 57.34/57.58 (define @t8 () (tptp.meet @t1 @t3)) % 57.34/57.58 (define @t9 () (tptp.join @t1 @t8)) % 57.34/57.58 (define @t10 () (forall @t6 (= @t9 @t1))) % 57.34/57.58 (define @t11 () (@var "Z" $$unsorted)) % 57.34/57.58 (define @t12 () (@list @t1 @t3 @t11)) % 57.34/57.58 (define @t13 () (@var "U" $$unsorted)) % 57.34/57.58 (define @t14 () (forall (@list @t1 @t3 @t11 @t13) (= (tptp.meet @t1 (tptp.join @t3 (tptp.meet @t11 (tptp.join @t3 @t13)))) (tptp.meet @t1 (tptp.join @t3 (tptp.meet @t11 (tptp.join @t13 @t8))))))) % 57.34/57.58 (define @t15 () (tptp.meet tptp.b tptp.d)) % 57.34/57.58 (define @t16 () (tptp.meet tptp.a tptp.d)) % 57.34/57.58 (define @t17 () (tptp.join @t16 @t15)) % 57.34/57.58 (define @t18 () (tptp.meet tptp.c @t17)) % 57.34/57.58 (define @t19 () (tptp.join tptp.b @t18)) % 57.34/57.58 (define @t20 () (tptp.meet tptp.a @t19)) % 57.34/57.58 (define @t21 () (tptp.meet @t18 @t19)) % 57.34/57.58 (define @t22 () (tptp.meet @t21 (tptp.join tptp.a (tptp.meet tptp.a tptp.b)))) % 57.34/57.58 (define @t23 () (tptp.join tptp.b @t22)) % 57.34/57.58 (define @t24 () (tptp.meet tptp.a @t23)) % 57.34/57.58 (define @t25 () (tptp.join tptp.b tptp.a)) % 57.34/57.58 (define @t26 () (tptp.meet @t21 @t25)) % 57.34/57.58 (define @t27 () (tptp.join tptp.b @t26)) % 57.34/57.58 (define @t28 () (tptp.meet tptp.a @t27)) % 57.34/57.58 (define @t29 () (= @t28 @t24)) % 57.34/57.58 (define @t30 () (= @t24 @t28)) % 57.34/57.58 (define @t31 () (@list tptp.b @t18)) % 57.34/57.58 (define @t32 () (@list @t19 tptp.a)) % 57.34/57.58 (define @t33 () (tptp.join @t19 tptp.a)) % 57.34/57.58 (define @t34 () (tptp.meet @t19 @t33)) % 57.34/57.58 (define @t35 () (@list tptp.a tptp.d)) % 57.34/57.58 (define @t36 () (tptp.meet tptp.d (tptp.join tptp.a @t20))) % 57.34/57.58 (define @t37 () (@list tptp.b tptp.d)) % 57.34/57.58 (define @t38 () (tptp.join @t18 tptp.b)) % 57.34/57.58 (define @t39 () (@list @t16 @t15)) % 57.34/57.58 (define @t40 () (tptp.join @t19 @t17)) % 57.34/57.58 (define @t41 () (tptp.meet @t17 tptp.c)) % 57.34/57.58 (define @t42 () (@list @t17 tptp.c)) % 57.34/57.58 (define @t43 () (tptp.join @t17 tptp.b)) % 57.34/57.58 (define @t44 () (tptp.meet tptp.a (tptp.join @t17 (tptp.meet tptp.b @t19)))) % 57.34/57.58 (define @t45 () (tptp.join @t19 (tptp.meet @t17 (tptp.join @t17 tptp.c)))) % 57.34/57.58 (define @t46 () (tptp.meet tptp.a @t40)) % 57.34/57.58 (define @t47 () (tptp.join @t19 @t46)) % 57.34/57.58 (define @t48 () (tptp.meet tptp.b @t43)) % 57.34/57.58 (define @t49 () (tptp.join @t19 @t44)) % 57.34/57.58 (define @t50 () (tptp.join @t19 (tptp.meet @t43 tptp.a))) % 57.34/57.58 (define @t51 () (tptp.meet tptp.b @t50)) % 57.34/57.58 (define @t52 () (tptp.join @t16 @t51)) % 57.34/57.58 (define @t53 () (tptp.meet tptp.b (tptp.join tptp.a @t19))) % 57.34/57.58 (define @t54 () (tptp.meet tptp.d @t17)) % 57.34/57.58 (define @t55 () (tptp.join @t15 tptp.d)) % 57.34/57.58 (assume @p1 (forall @t2 (= (tptp.meet @t1 @t1) @t1))) % 57.34/57.58 (assume @p2 (forall @t2 (= (tptp.join @t1 @t1) @t1))) % 57.34/57.58 (assume @p3 @t7) % 57.34/57.58 (assume @p4 @t10) % 57.34/57.58 (assume @p5 (forall @t6 (= @t8 (tptp.meet @t3 @t1)))) % 57.34/57.58 (assume @p6 (forall @t6 (= @t4 (tptp.join @t3 @t1)))) % 57.34/57.58 (assume @p7 (forall @t12 (= (tptp.meet @t8 @t11) (tptp.meet @t1 (tptp.meet @t3 @t11))))) % 57.34/57.58 (assume @p8 (forall @t12 (= (tptp.join @t4 @t11) (tptp.join @t1 (tptp.join @t3 @t11))))) % 57.34/57.58 (assume @p9 @t14) % 57.34/57.58 (assume @p10 (not (= (tptp.meet tptp.a (tptp.join tptp.b (tptp.meet tptp.a (tptp.meet tptp.c tptp.d)))) @t20))) % 57.34/57.58 (step @p11 :rule bool-eq-false :args (@t29)) % 57.34/57.58 (step @p12 :rule symm :premises (@p11)) % 57.34/57.58 (step @p13 :rule eq-symm :args (@t24 @t28)) % 57.34/57.58 (step @p14 :rule cong :premises (@p13) :args ((not @t30))) % 57.34/57.58 (step @p15 :rule bool-eq-false :args (@t30)) % 57.34/57.58 (step @p16 :rule trans :premises (@p15 @p14)) % 57.34/57.58 (step @p17 :rule trans :premises (@p16 @p12)) % 57.34/57.58 (step @p18 :rule false_intro :premises (@p10)) % 57.34/57.58 (step @p19 :rule eq-symm :args (@t5 @t1)) % 57.34/57.58 (step @p20 :rule cong :premises (@p19) :args (@t7)) % 57.34/57.58 (step @p21 :rule eq_resolve :premises (@p3 @p20)) % 57.34/57.58 (step @p22 :rule instantiate :premises (@p21) :args ((@list @t18 tptp.b))) % 57.34/57.58 (step @p23 :rule symm :premises (@p22)) % 57.34/57.58 (step @p24 :rule instantiate :premises (@p6) :args (@t31)) % 57.34/57.58 (step @p25 :rule instantiate :premises (@p21) :args (@t32)) % 57.34/57.58 (step @p26 :rule symm :premises (@p25)) % 57.34/57.58 (step @p27 :rule trans :premises (@p26 @p24)) % 57.34/57.58 (step @p28 :rule refl :args (@t18)) % 57.34/57.58 (step @p29 :rule cong :premises (@p28 @p27) :args ((tptp.meet @t18 @t34))) % 57.34/57.58 (step @p30 :rule instantiate :premises (@p7) :args ((@list @t18 @t19 @t33))) % 57.34/57.58 (step @p31 :rule instantiate :premises (@p6) :args (@t32)) % 57.34/57.58 (step @p32 :rule symm :premises (@p31)) % 57.34/57.58 (step @p33 :rule refl :args (@t19)) % 57.34/57.58 (step @p34 :rule eq-symm :args (@t9 @t1)) % 57.34/57.58 (step @p35 :rule cong :premises (@p34) :args (@t10)) % 57.34/57.58 (step @p36 :rule eq_resolve :premises (@p4 @p35)) % 57.34/57.58 (step @p37 :rule instantiate :premises (@p36) :args (@t35)) % 57.34/57.58 (step @p38 :rule symm :premises (@p37)) % 57.34/57.58 (step @p39 :rule cong :premises (@p38 @p33) :args ((tptp.join (tptp.join tptp.a @t16) @t19))) % 57.34/57.58 (step @p40 :rule instantiate :premises (@p8) :args ((@list tptp.a @t16 @t19))) % 57.34/57.58 (step @p41 :rule symm :premises (@p40)) % 57.34/57.58 (step @p42 :rule instantiate :premises (@p5) :args (@t35)) % 57.34/57.58 (step @p43 :rule symm :premises (@p42)) % 57.34/57.58 (step @p44 :rule instantiate :premises (@p36) :args ((@list tptp.a @t19))) % 57.34/57.58 (step @p45 :rule symm :premises (@p44)) % 57.34/57.58 (step @p46 :rule refl :args (tptp.d)) % 57.34/57.58 (step @p47 :rule cong :premises (@p46 @p45) :args (@t36)) % 57.34/57.58 (step @p48 :rule trans :premises (@p47 @p43)) % 57.34/57.58 (step @p49 :rule cong :premises (@p48 @p33) :args ((tptp.join @t36 @t19))) % 57.34/57.58 (step @p50 :rule instantiate :premises (@p6) :args ((@list @t19 @t36))) % 57.34/57.58 (step @p51 :rule refl :args (@t36)) % 57.34/57.58 (step @p52 :rule symm :premises (@p24)) % 57.34/57.58 (step @p53 :rule instantiate :premises (@p36) :args (@t37)) % 57.34/57.58 (step @p54 :rule symm :premises (@p53)) % 57.34/57.58 (step @p55 :rule cong :premises (@p28 @p54) :args ((tptp.join @t18 (tptp.join tptp.b @t15)))) % 57.34/57.58 (step @p56 :rule instantiate :premises (@p8) :args ((@list @t18 tptp.b @t15))) % 57.34/57.58 (step @p57 :rule trans :premises (@p56 @p55 @p52)) % 57.34/57.58 (step @p58 :rule cong :premises (@p57 @p51) :args ((tptp.join (tptp.join @t38 @t15) @t36))) % 57.34/57.58 (step @p59 :rule instantiate :premises (@p8) :args ((@list @t38 @t15 @t36))) % 57.34/57.58 (step @p60 :rule symm :premises (@p59)) % 57.34/57.58 (step @p61 :rule symm :premises (@p48)) % 57.34/57.58 (step @p62 :rule refl :args (@t15)) % 57.34/57.58 (step @p63 :rule cong :premises (@p62 @p61) :args ((tptp.join @t15 @t16))) % 57.34/57.58 (step @p64 :rule instantiate :premises (@p6) :args (@t39)) % 57.34/57.58 (step @p65 :rule trans :premises (@p64 @p63)) % 57.34/57.58 (step @p66 :rule cong :premises (@p24 @p65) :args (@t40)) % 57.34/57.58 (step @p67 :rule instantiate :premises (@p8) :args ((@list tptp.b @t18 @t17))) % 57.34/57.58 (step @p68 :rule symm :premises (@p67)) % 57.34/57.58 (step @p69 :rule refl :args (@t17)) % 57.34/57.58 (step @p70 :rule instantiate :premises (@p5) :args ((@list tptp.c @t17))) % 57.34/57.58 (step @p71 :rule symm :premises (@p70)) % 57.34/57.58 (step @p72 :rule cong :premises (@p71 @p69) :args ((tptp.join @t41 @t17))) % 57.34/57.58 (step @p73 :rule instantiate :premises (@p6) :args ((@list @t17 @t41))) % 57.34/57.58 (step @p74 :rule instantiate :premises (@p36) :args (@t42)) % 57.34/57.58 (step @p75 :rule trans :premises (@p74 @p73 @p72)) % 57.34/57.58 (step @p76 :rule refl :args (tptp.b)) % 57.34/57.58 (step @p77 :rule cong :premises (@p76 @p75) :args ((tptp.join tptp.b @t17))) % 57.34/57.58 (step @p78 :rule instantiate :premises (@p6) :args ((@list @t17 tptp.b))) % 57.34/57.58 (step @p79 :rule trans :premises (@p78 @p77 @p68 @p66 @p60 @p58 @p50 @p49)) % 57.34/57.58 (step @p80 :rule refl :args (tptp.a)) % 57.34/57.58 (step @p81 :rule cong :premises (@p80 @p79) :args ((tptp.join tptp.a @t43))) % 57.34/57.58 (step @p82 :rule instantiate :premises (@p8) :args ((@list @t16 @t15 tptp.b))) % 57.34/57.58 (step @p83 :rule symm :premises (@p82)) % 57.34/57.58 (step @p84 :rule instantiate :premises (@p6) :args ((@list tptp.b @t15))) % 57.34/57.58 (step @p85 :rule instantiate :premises (@p21) :args ((@list tptp.b (tptp.join @t18 @t44)))) % 57.34/57.58 (step @p86 :rule symm :premises (@p85)) % 57.34/57.58 (step @p87 :rule instantiate :premises (@p8) :args ((@list tptp.b @t18 @t44))) % 57.34/57.58 (step @p88 :rule instantiate :premises (@p21) :args (@t31)) % 57.34/57.58 (step @p89 :rule cong :premises (@p69 @p88) :args (@t43)) % 57.34/57.58 (step @p90 :rule cong :premises (@p80 @p89) :args ((tptp.meet tptp.a @t43))) % 57.34/57.58 (step @p91 :rule symm :premises (@p78)) % 57.34/57.58 (step @p92 :rule symm :premises (@p77)) % 57.34/57.58 (step @p93 :rule instantiate :premises (@p21) :args (@t42)) % 57.34/57.58 (step @p94 :rule symm :premises (@p93)) % 57.34/57.58 (step @p95 :rule cong :premises (@p33 @p94) :args (@t45)) % 57.34/57.58 (step @p96 :rule trans :premises (@p95 @p67 @p92 @p91)) % 57.34/57.58 (step @p97 :rule cong :premises (@p80 @p96) :args ((tptp.meet tptp.a @t45))) % 57.34/57.58 (step @p98 :rule symm :premises (@p95)) % 57.34/57.58 (step @p99 :rule symm :premises (@p66)) % 57.34/57.58 (step @p100 :rule symm :premises (@p58)) % 57.34/57.58 (step @p101 :rule trans :premises (@p100 @p59 @p99 @p98)) % 57.34/57.58 (step @p102 :rule cong :premises (@p80 @p101) :args ((tptp.meet tptp.a (tptp.join @t19 @t36)))) % 57.34/57.58 (step @p103 :rule instantiate :premises (@p9) :args ((@list tptp.a @t19 tptp.d tptp.a))) % 57.34/57.58 (step @p104 :rule trans :premises (@p103 @p102 @p97 @p90)) % 57.34/57.58 (step @p105 :rule cong :premises (@p33 @p104) :args ((tptp.join @t19 (tptp.meet tptp.a (tptp.join @t19 (tptp.meet tptp.d @t33)))))) % 57.34/57.58 (step @p106 :rule symm :premises (@p103)) % 57.34/57.58 (step @p107 :rule trans :premises (@p66 @p60 @p58)) % 57.34/57.58 (step @p108 :rule cong :premises (@p80 @p107) :args (@t46)) % 57.34/57.58 (step @p109 :rule trans :premises (@p108 @p106)) % 57.34/57.58 (step @p110 :rule cong :premises (@p33 @p109) :args (@t47)) % 57.34/57.58 (step @p111 :rule trans :premises (@p110 @p105 @p87)) % 57.34/57.58 (step @p112 :rule instantiate :premises (@p21) :args ((@list tptp.b @t17))) % 57.34/57.58 (step @p113 :rule symm :premises (@p112)) % 57.34/57.58 (step @p114 :rule cong :premises (@p76 @p78) :args (@t48)) % 57.34/57.58 (step @p115 :rule trans :premises (@p114 @p113)) % 57.34/57.58 (step @p116 :rule cong :premises (@p115 @p111) :args ((tptp.meet @t48 @t47))) % 57.34/57.58 (step @p117 :rule refl :args (@t47)) % 57.34/57.58 (step @p118 :rule symm :premises (@p115)) % 57.34/57.58 (step @p119 :rule cong :premises (@p118 @p117) :args ((tptp.meet tptp.b @t47))) % 57.34/57.58 (step @p120 :rule instantiate :premises (@p9) :args ((@list tptp.b @t19 tptp.a @t17))) % 57.34/57.58 (step @p121 :rule symm :premises (@p120)) % 57.34/57.58 (step @p122 :rule refl :args (@t49)) % 57.34/57.58 (step @p123 :rule cong :premises (@p115 @p122) :args ((tptp.meet @t48 @t49))) % 57.34/57.58 (step @p124 :rule instantiate :premises (@p5) :args ((@list tptp.a @t43))) % 57.34/57.58 (step @p125 :rule symm :premises (@p124)) % 57.34/57.58 (step @p126 :rule trans :premises (@p125 @p90)) % 57.34/57.58 (step @p127 :rule cong :premises (@p33 @p126) :args (@t50)) % 57.34/57.58 (step @p128 :rule cong :premises (@p118 @p127) :args (@t51)) % 57.34/57.58 (step @p129 :rule trans :premises (@p128 @p123 @p121 @p119 @p116 @p86 @p53 @p84)) % 57.34/57.58 (step @p130 :rule refl :args (@t16)) % 57.34/57.58 (step @p131 :rule cong :premises (@p130 @p129) :args (@t52)) % 57.34/57.58 (step @p132 :rule trans :premises (@p131 @p83)) % 57.34/57.58 (step @p133 :rule cong :premises (@p80 @p132) :args ((tptp.join tptp.a @t52))) % 57.34/57.58 (step @p134 :rule instantiate :premises (@p8) :args ((@list tptp.a @t16 @t51))) % 57.34/57.58 (step @p135 :rule symm :premises (@p128)) % 57.34/57.58 (step @p136 :rule symm :premises (@p123)) % 57.34/57.58 (step @p137 :rule symm :premises (@p119)) % 57.34/57.58 (step @p138 :rule symm :premises (@p116)) % 57.34/57.58 (step @p139 :rule symm :premises (@p88)) % 57.34/57.58 (step @p140 :rule cong :premises (@p76 @p26) :args ((tptp.meet tptp.b @t34))) % 57.34/57.58 (step @p141 :rule instantiate :premises (@p7) :args ((@list tptp.b @t19 @t33))) % 57.34/57.58 (step @p142 :rule cong :premises (@p88 @p32) :args (@t53)) % 57.34/57.58 (step @p143 :rule trans :premises (@p142 @p141 @p140 @p139 @p85 @p138 @p137 @p120 @p136 @p135)) % 57.34/57.58 (step @p144 :rule cong :premises (@p37 @p143) :args ((tptp.join tptp.a @t53))) % 57.34/57.58 (step @p145 :rule symm :premises (@p143)) % 57.34/57.58 (step @p146 :rule cong :premises (@p80 @p145) :args ((tptp.join tptp.a @t51))) % 57.34/57.58 (step @p147 :rule instantiate :premises (@p6) :args ((@list tptp.a @t51))) % 57.34/57.58 (step @p148 :rule symm :premises (@p147)) % 57.34/57.58 (step @p149 :rule trans :premises (@p85 @p138 @p137 @p120 @p136 @p135)) % 57.34/57.58 (step @p150 :rule cong :premises (@p149 @p80) :args (@t25)) % 57.34/57.58 (step @p151 :rule trans :premises (@p150 @p148 @p146 @p144 @p134 @p133 @p81 @p41 @p39 @p32)) % 57.34/57.58 (step @p152 :rule refl :args (@t21)) % 57.34/57.58 (step @p153 :rule cong :premises (@p152 @p151) :args (@t26)) % 57.34/57.58 (step @p154 :rule trans :premises (@p153 @p30 @p29 @p23)) % 57.34/57.58 (step @p155 :rule cong :premises (@p76 @p154) :args (@t27)) % 57.34/57.58 (step @p156 :rule cong :premises (@p80 @p155) :args (@t28)) % 57.34/57.58 (step @p157 :rule instantiate :premises (@p5) :args ((@list tptp.c tptp.d))) % 57.34/57.58 (step @p158 :rule symm :premises (@p157)) % 57.34/57.58 (step @p159 :rule cong :premises (@p80 @p158) :args ((tptp.meet tptp.a (tptp.meet tptp.d tptp.c)))) % 57.34/57.58 (step @p160 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.d tptp.c))) % 57.34/57.58 (step @p161 :rule refl :args (tptp.c)) % 57.34/57.58 (step @p162 :rule instantiate :premises (@p21) :args (@t39)) % 57.34/57.58 (step @p163 :rule symm :premises (@p162)) % 57.34/57.58 (step @p164 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.d @t17))) % 57.34/57.58 (step @p165 :rule symm :premises (@p164)) % 57.34/57.58 (step @p166 :rule trans :premises (@p165 @p163)) % 57.34/57.58 (step @p167 :rule cong :premises (@p166 @p161) :args ((tptp.meet (tptp.meet tptp.a @t54) tptp.c))) % 57.34/57.58 (step @p168 :rule instantiate :premises (@p7) :args ((@list tptp.a @t54 tptp.c))) % 57.34/57.58 (step @p169 :rule symm :premises (@p168)) % 57.34/57.58 (step @p170 :rule instantiate :premises (@p5) :args ((@list tptp.d @t17))) % 57.34/57.58 (step @p171 :rule symm :premises (@p170)) % 57.34/57.58 (step @p172 :rule instantiate :premises (@p36) :args ((@list tptp.d tptp.a))) % 57.34/57.58 (step @p173 :rule symm :premises (@p172)) % 57.34/57.58 (step @p174 :rule cong :premises (@p46 @p42) :args ((tptp.join tptp.d @t16))) % 57.34/57.58 (step @p175 :rule instantiate :premises (@p6) :args ((@list tptp.d @t16))) % 57.34/57.58 (step @p176 :rule symm :premises (@p175)) % 57.34/57.58 (step @p177 :rule instantiate :premises (@p36) :args ((@list tptp.d tptp.b))) % 57.34/57.58 (step @p178 :rule symm :premises (@p177)) % 57.34/57.58 (step @p179 :rule instantiate :premises (@p6) :args ((@list tptp.d (tptp.meet tptp.d tptp.b)))) % 57.34/57.58 (step @p180 :rule symm :premises (@p179)) % 57.34/57.58 (step @p181 :rule instantiate :premises (@p5) :args (@t37)) % 57.34/57.58 (step @p182 :rule cong :premises (@p181 @p46) :args (@t55)) % 57.34/57.58 (step @p183 :rule trans :premises (@p182 @p180 @p178)) % 57.34/57.58 (step @p184 :rule cong :premises (@p130 @p183) :args ((tptp.join @t16 @t55))) % 57.34/57.58 (step @p185 :rule instantiate :premises (@p8) :args ((@list @t16 @t15 tptp.d))) % 57.34/57.58 (step @p186 :rule trans :premises (@p185 @p184 @p176 @p174 @p173)) % 57.34/57.58 (step @p187 :rule cong :premises (@p69 @p186) :args ((tptp.meet @t17 (tptp.join @t17 tptp.d)))) % 57.34/57.58 (step @p188 :rule instantiate :premises (@p21) :args ((@list @t17 tptp.d))) % 57.34/57.58 (step @p189 :rule trans :premises (@p188 @p187 @p171)) % 57.34/57.58 (step @p190 :rule cong :premises (@p189 @p161) :args (@t41)) % 57.34/57.58 (step @p191 :rule trans :premises (@p70 @p190)) % 57.34/57.58 (step @p192 :rule cong :premises (@p80 @p191) :args ((tptp.meet tptp.a @t18))) % 57.34/57.58 (step @p193 :rule instantiate :premises (@p5) :args ((@list tptp.a @t18))) % 57.34/57.58 (step @p194 :rule symm :premises (@p193)) % 57.34/57.58 (step @p195 :rule instantiate :premises (@p36) :args ((@list tptp.a tptp.b))) % 57.34/57.58 (step @p196 :rule symm :premises (@p195)) % 57.34/57.58 (step @p197 :rule cong :premises (@p28 @p24) :args (@t21)) % 57.34/57.58 (step @p198 :rule trans :premises (@p197 @p23)) % 57.34/57.58 (step @p199 :rule cong :premises (@p198 @p196) :args (@t22)) % 57.34/57.58 (step @p200 :rule trans :premises (@p199 @p194 @p192 @p169 @p167 @p160 @p159)) % 57.34/57.58 (step @p201 :rule cong :premises (@p76 @p200) :args (@t23)) % 57.34/57.58 (step @p202 :rule cong :premises (@p80 @p201) :args (@t24)) % 57.34/57.58 (step @p203 :rule cong :premises (@p202 @p156) :args (@t30)) % 57.34/57.58 (step @p204 :rule trans :premises (@p203 @p18)) % 57.34/57.58 (step @p205 :rule eq_resolve :premises (@p204 @p17)) % 57.34/57.58 (step @p206 :rule false_elim :premises (@p205)) % 57.34/57.58 (assume-push @p213 @t14) % 57.34/57.58 (step @p208 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.b @t21 tptp.a))) % 57.34/57.58 (step-pop @p214 :rule scope :premises (@p208)) % 57.34/57.58 (step @p209 :rule process_scope :premises (@p214) :args (@t29)) % 57.34/57.58 (step @p211 :rule implies_elim :premises (@p209)) % 57.34/57.58 (step @p212 false :rule chain_m_resolution :premises (@p211 @p206 @p9) :args (false (@list true false) (@list @t29 @t14))) % 57.34/57.58 ) % 57.34/57.58 % SZS output end Proof % 57.34/57.58 % cvc5 exiting %------------------------------------------------------------------------------