%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT146-1 : 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 : n010.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 08:29:49 AM UTC 2026 % Result : Unsatisfiable 165.47s 165.76s % Output : Proof 165.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT146-1 : 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 % 0.18/0.34 % Computer : n010.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 05:53:25 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.41/15.63 --- Run --no-e-matching --full-saturate-quant at 6... % 21.41/21.65 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.42/27.67 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.52/33.72 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.59/63.82 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.59/78.89 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.66/112.02 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 126.77/127.10 --- Run --prenex-quant=none --full-saturate-quant at 30... % 156.89/157.16 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 165.47/165.76 % SZS status Unsatisfiable % 165.47/165.76 % SZS output start Proof % 165.47/165.77 ( % 165.47/165.77 (declare-sort $$unsorted 0) % 165.47/165.77 (declare-const tptp.c $$unsorted) % 165.47/165.77 (declare-const tptp.a $$unsorted) % 165.47/165.77 (declare-const tptp.b $$unsorted) % 165.47/165.77 (declare-const tptp.d $$unsorted) % 165.47/165.77 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 165.47/165.77 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 165.47/165.77 (define @t1 () (@var "X" $$unsorted)) % 165.47/165.77 (define @t2 () (tptp.meet @t1 @t1)) % 165.47/165.77 (define @t3 () (@list @t1)) % 165.47/165.77 (define @t4 () (forall @t3 (= @t2 @t1))) % 165.47/165.77 (define @t5 () (tptp.join @t1 @t1)) % 165.47/165.77 (define @t6 () (forall @t3 (= @t5 @t1))) % 165.47/165.77 (define @t7 () (@var "Y" $$unsorted)) % 165.47/165.77 (define @t8 () (tptp.join @t1 @t7)) % 165.47/165.77 (define @t9 () (tptp.meet @t1 @t8)) % 165.47/165.77 (define @t10 () (@list @t1 @t7)) % 165.47/165.77 (define @t11 () (forall @t10 (= @t9 @t1))) % 165.47/165.77 (define @t12 () (tptp.meet @t1 @t7)) % 165.47/165.77 (define @t13 () (tptp.join @t1 @t12)) % 165.47/165.77 (define @t14 () (forall @t10 (= @t13 @t1))) % 165.47/165.77 (define @t15 () (@var "Z" $$unsorted)) % 165.47/165.77 (define @t16 () (@list @t1 @t7 @t15)) % 165.47/165.77 (define @t17 () (forall @t16 (= (tptp.meet @t12 @t15) (tptp.meet @t1 (tptp.meet @t7 @t15))))) % 165.47/165.77 (define @t18 () (tptp.join @t7 @t15)) % 165.47/165.77 (define @t19 () (@var "U" $$unsorted)) % 165.47/165.77 (define @t20 () (forall (@list @t1 @t7 @t15 @t19) (= (tptp.meet @t1 (tptp.join @t7 (tptp.meet @t15 @t19))) (tptp.meet @t1 (tptp.join @t7 (tptp.meet @t15 (tptp.join @t7 (tptp.meet @t19 @t18)))))))) % 165.47/165.77 (define @t21 () (tptp.meet tptp.b tptp.d)) % 165.47/165.77 (define @t22 () (tptp.join tptp.a @t21)) % 165.47/165.77 (define @t23 () (tptp.meet tptp.c (tptp.meet tptp.d @t22))) % 165.47/165.77 (define @t24 () (tptp.join tptp.b @t23)) % 165.47/165.77 (define @t25 () (tptp.meet tptp.a @t24)) % 165.47/165.77 (define @t26 () (tptp.meet tptp.c tptp.d)) % 165.47/165.77 (define @t27 () (tptp.meet tptp.a @t26)) % 165.47/165.77 (define @t28 () (tptp.join tptp.b @t27)) % 165.47/165.77 (define @t29 () (tptp.meet tptp.a @t28)) % 165.47/165.77 (define @t30 () (tptp.join @t25 @t29)) % 165.47/165.77 (define @t31 () (tptp.meet @t26 @t22)) % 165.47/165.77 (define @t32 () (tptp.meet @t26 tptp.a)) % 165.47/165.77 (define @t33 () (tptp.join tptp.b @t32)) % 165.47/165.77 (define @t34 () (@list tptp.a @t21)) % 165.47/165.77 (define @t35 () (tptp.meet @t22 tptp.a)) % 165.47/165.77 (define @t36 () (= @t31 @t23)) % 165.47/165.77 (define @t37 () (@list tptp.c tptp.d @t22)) % 165.47/165.77 (define @t38 () (@list false)) % 165.47/165.77 (define @t39 () (@list @t17)) % 165.47/165.77 (define @t40 () (tptp.meet @t24 @t28)) % 165.47/165.77 (define @t41 () (tptp.meet (tptp.meet @t40 @t24) tptp.a)) % 165.47/165.77 (define @t42 () (tptp.meet @t24 tptp.a)) % 165.47/165.77 (define @t43 () (tptp.meet @t40 @t42)) % 165.47/165.77 (define @t44 () (= @t41 @t43)) % 165.47/165.77 (define @t45 () (@list @t40 @t24 tptp.a)) % 165.47/165.77 (define @t46 () (tptp.join @t25 @t42)) % 165.47/165.77 (define @t47 () (tptp.meet @t40 @t46)) % 165.47/165.77 (define @t48 () (tptp.join @t25 @t47)) % 165.47/165.77 (define @t49 () (tptp.meet @t42 @t48)) % 165.47/165.77 (define @t50 () (tptp.join @t25 @t49)) % 165.47/165.77 (define @t51 () (tptp.meet @t28 tptp.a)) % 165.47/165.77 (define @t52 () (tptp.join @t29 @t29)) % 165.47/165.77 (define @t53 () (@list @t30 tptp.b)) % 165.47/165.77 (define @t54 () (tptp.join @t30 tptp.b)) % 165.47/165.77 (define @t55 () (tptp.meet @t24 @t54)) % 165.47/165.77 (define @t56 () (tptp.meet tptp.b tptp.c)) % 165.47/165.77 (define @t57 () (tptp.join tptp.a @t56)) % 165.47/165.77 (define @t58 () (tptp.join tptp.a tptp.b)) % 165.47/165.77 (define @t59 () (tptp.join tptp.a (tptp.meet tptp.c tptp.b))) % 165.47/165.77 (define @t60 () (tptp.join tptp.a (tptp.meet tptp.c (tptp.join tptp.a (tptp.meet tptp.b (tptp.join tptp.a tptp.c)))))) % 165.47/165.77 (define @t61 () (tptp.join @t42 tptp.b)) % 165.47/165.77 (define @t62 () (tptp.join @t61 @t23)) % 165.47/165.77 (define @t63 () (tptp.join @t21 tptp.a)) % 165.47/165.77 (define @t64 () (tptp.join tptp.b tptp.a)) % 165.47/165.77 (define @t65 () (tptp.meet @t22 @t58)) % 165.47/165.77 (define @t66 () (tptp.meet @t31 @t64)) % 165.47/165.77 (define @t67 () (tptp.join tptp.b @t66)) % 165.47/165.77 (define @t68 () (tptp.meet tptp.a @t67)) % 165.47/165.77 (define @t69 () (tptp.join tptp.b @t68)) % 165.47/165.77 (define @t70 () (tptp.meet tptp.a @t69)) % 165.47/165.77 (define @t71 () (tptp.join tptp.b (tptp.meet tptp.a @t31))) % 165.47/165.77 (define @t72 () (tptp.meet tptp.a @t71)) % 165.47/165.77 (define @t73 () (= @t72 @t70)) % 165.47/165.77 (assume @p1 @t4) % 165.47/165.77 (assume @p2 @t6) % 165.47/165.77 (assume @p3 @t11) % 165.47/165.77 (assume @p4 @t14) % 165.47/165.77 (assume @p5 (forall @t10 (= @t12 (tptp.meet @t7 @t1)))) % 165.47/165.77 (assume @p6 (forall @t10 (= @t8 (tptp.join @t7 @t1)))) % 165.47/165.77 (assume @p7 @t17) % 165.47/165.77 (assume @p8 (forall @t16 (= (tptp.join @t8 @t15) (tptp.join @t1 @t18)))) % 165.47/165.77 (assume @p9 @t20) % 165.47/165.77 (assume @p10 (not (= @t29 @t25))) % 165.47/165.77 (step @p11 :rule false_intro :premises (@p10)) % 165.47/165.77 (step @p12 :rule eq-symm :args (@t9 @t1)) % 165.47/165.77 (step @p13 :rule cong :premises (@p12) :args (@t11)) % 165.47/165.77 (step @p14 :rule eq_resolve :premises (@p3 @p13)) % 165.47/165.77 (step @p15 :rule instantiate :premises (@p14) :args ((@list @t25 @t29))) % 165.47/165.77 (step @p16 :rule symm :premises (@p15)) % 165.47/165.77 (step @p17 :rule instantiate :premises (@p5) :args ((@list @t25 @t30))) % 165.47/165.77 (step @p18 :rule symm :premises (@p17)) % 165.47/165.77 (step @p19 :rule eq-symm :args (@t5 @t1)) % 165.47/165.77 (step @p20 :rule cong :premises (@p19) :args (@t6)) % 165.47/165.77 (step @p21 :rule eq_resolve :premises (@p2 @p20)) % 165.47/165.77 (step @p22 :rule instantiate :premises (@p21) :args ((@list @t25))) % 165.47/165.77 (step @p23 :rule symm :premises (@p22)) % 165.47/165.77 (step @p24 :rule instantiate :premises (@p14) :args ((@list @t28 @t31))) % 165.47/165.77 (step @p25 :rule symm :premises (@p24)) % 165.47/165.77 (step @p26 :rule refl :args (@t31)) % 165.47/165.77 (step @p27 :rule instantiate :premises (@p5) :args ((@list tptp.a @t26))) % 165.47/165.77 (step @p28 :rule symm :premises (@p27)) % 165.47/165.77 (step @p29 :rule refl :args (tptp.b)) % 165.47/165.77 (step @p30 :rule cong :premises (@p29 @p28) :args (@t33)) % 165.47/165.77 (step @p31 :rule cong :premises (@p30 @p26) :args ((tptp.join @t33 @t31))) % 165.47/165.77 (step @p32 :rule instantiate :premises (@p8) :args ((@list tptp.b @t32 @t31))) % 165.47/165.77 (step @p33 :rule symm :premises (@p32)) % 165.47/165.77 (step @p34 :rule instantiate :premises (@p6) :args ((@list @t31 @t32))) % 165.47/165.77 (step @p35 :rule instantiate :premises (@p14) :args (@t34)) % 165.47/165.77 (step @p36 :rule symm :premises (@p35)) % 165.47/165.77 (step @p37 :rule instantiate :premises (@p5) :args ((@list tptp.a @t22))) % 165.47/165.77 (step @p38 :rule symm :premises (@p37)) % 165.47/165.77 (step @p39 :rule trans :premises (@p38 @p36)) % 165.47/165.77 (step @p40 :rule refl :args (@t26)) % 165.47/165.77 (step @p41 :rule cong :premises (@p40 @p39) :args ((tptp.meet @t26 @t35))) % 165.47/165.77 (step @p42 :rule instantiate :premises (@p7) :args ((@list @t26 @t22 tptp.a))) % 165.47/165.77 (step @p43 :rule trans :premises (@p42 @p41)) % 165.47/165.77 (step @p44 :rule cong :premises (@p26 @p43) :args ((tptp.join @t31 (tptp.meet @t31 tptp.a)))) % 165.47/165.77 (step @p45 :rule eq-symm :args (@t13 @t1)) % 165.47/165.77 (step @p46 :rule cong :premises (@p45) :args (@t14)) % 165.47/165.77 (step @p47 :rule eq_resolve :premises (@p4 @p46)) % 165.47/165.77 (step @p48 :rule instantiate :premises (@p47) :args ((@list @t31 tptp.a))) % 165.47/165.77 (step @p49 :rule eq-symm :args (@t31 @t23)) % 165.47/165.77 (step @p50 :rule refl :args (@t17)) % 165.47/165.77 (step @p51 :rule cong :premises (@p50 @p49) :args ((=> @t17 @t36))) % 165.47/165.77 (assume-push @p215 @t17) % 165.47/165.77 (step @p53 :rule instantiate :premises (@p7) :args (@t37)) % 165.47/165.77 (step-pop @p216 :rule scope :premises (@p53)) % 165.47/165.77 (step @p54 :rule process_scope :premises (@p216) :args (@t36)) % 165.47/165.77 (step @p56 :rule eq_resolve :premises (@p54 @p51)) % 165.47/165.77 (step @p57 :rule implies_elim :premises (@p56)) % 165.47/165.77 (step @p58 :rule chain_m_resolution :premises (@p57 @p7) :args ((= @t23 @t31) @t38 @t39)) % 165.47/165.77 (step @p59 :rule trans :premises (@p58 @p48 @p44 @p34)) % 165.47/165.77 (step @p60 :rule cong :premises (@p29 @p59) :args (@t24)) % 165.47/165.77 (step @p61 :rule trans :premises (@p60 @p33 @p31)) % 165.47/165.77 (step @p62 :rule refl :args (@t28)) % 165.47/165.77 (step @p63 :rule cong :premises (@p62 @p61) :args ((tptp.meet @t28 @t24))) % 165.47/165.77 (step @p64 :rule instantiate :premises (@p5) :args ((@list @t24 @t28))) % 165.47/165.77 (step @p65 :rule trans :premises (@p64 @p63 @p25)) % 165.47/165.77 (step @p66 :rule refl :args (tptp.a)) % 165.47/165.77 (step @p67 :rule cong :premises (@p66 @p65) :args ((tptp.meet tptp.a @t40))) % 165.47/165.77 (step @p68 :rule instantiate :premises (@p5) :args ((@list @t40 tptp.a))) % 165.47/165.77 (step @p69 :rule eq-symm :args (@t2 @t1)) % 165.47/165.77 (step @p70 :rule cong :premises (@p69) :args (@t4)) % 165.47/165.77 (step @p71 :rule eq_resolve :premises (@p1 @p70)) % 165.47/165.77 (step @p72 :rule instantiate :premises (@p71) :args ((@list @t24))) % 165.47/165.77 (step @p73 :rule symm :premises (@p72)) % 165.47/165.77 (step @p74 :rule cong :premises (@p73 @p62) :args ((tptp.meet (tptp.meet @t24 @t24) @t28))) % 165.47/165.77 (step @p75 :rule instantiate :premises (@p7) :args ((@list @t24 @t24 @t28))) % 165.47/165.77 (step @p76 :rule symm :premises (@p75)) % 165.47/165.77 (step @p77 :rule instantiate :premises (@p5) :args ((@list @t40 @t24))) % 165.47/165.77 (step @p78 :rule trans :premises (@p77 @p76 @p74)) % 165.47/165.77 (step @p79 :rule cong :premises (@p78 @p66) :args (@t41)) % 165.47/165.77 (step @p80 :rule eq-symm :args (@t41 @t43)) % 165.47/165.77 (step @p81 :rule cong :premises (@p50 @p80) :args ((=> @t17 @t44))) % 165.47/165.77 (assume-push @p217 @t17) % 165.47/165.77 (step @p83 :rule instantiate :premises (@p7) :args (@t45)) % 165.47/165.77 (step-pop @p218 :rule scope :premises (@p83)) % 165.47/165.77 (step @p84 :rule process_scope :premises (@p218) :args (@t44)) % 165.47/165.77 (step @p86 :rule eq_resolve :premises (@p84 @p81)) % 165.47/165.77 (step @p87 :rule implies_elim :premises (@p86)) % 165.47/165.77 (step @p88 :rule chain_m_resolution :premises (@p87 @p7) :args ((= @t43 @t41) @t38 @t39)) % 165.47/165.77 (step @p89 :rule instantiate :premises (@p5) :args ((@list tptp.a @t24))) % 165.47/165.77 (step @p90 :rule symm :premises (@p89)) % 165.47/165.77 (step @p91 :rule refl :args (@t25)) % 165.47/165.77 (step @p92 :rule cong :premises (@p91 @p90) :args (@t46)) % 165.47/165.77 (step @p93 :rule trans :premises (@p92 @p23 @p89)) % 165.47/165.77 (step @p94 :rule refl :args (@t40)) % 165.47/165.77 (step @p95 :rule cong :premises (@p94 @p93) :args (@t47)) % 165.47/165.77 (step @p96 :rule trans :premises (@p95 @p88 @p79 @p68 @p67)) % 165.47/165.77 (step @p97 :rule cong :premises (@p91 @p96) :args (@t48)) % 165.47/165.77 (step @p98 :rule cong :premises (@p90 @p97) :args (@t49)) % 165.47/165.77 (step @p99 :rule trans :premises (@p98 @p16)) % 165.47/165.77 (step @p100 :rule cong :premises (@p91 @p99) :args (@t50)) % 165.47/165.77 (step @p101 :rule trans :premises (@p100 @p23)) % 165.47/165.77 (step @p102 :rule refl :args (@t30)) % 165.47/165.77 (step @p103 :rule cong :premises (@p102 @p101) :args ((tptp.meet @t30 @t50))) % 165.47/165.77 (step @p104 :rule instantiate :premises (@p9) :args ((@list @t30 @t25 @t42 @t40))) % 165.47/165.77 (step @p105 :rule instantiate :premises (@p5) :args ((@list @t40 @t42))) % 165.47/165.77 (step @p83 :rule instantiate :premises (@p7) :args (@t45)) % 165.47/165.77 (step @p106 :rule symm :premises (@p79)) % 165.47/165.77 (step @p107 :rule symm :premises (@p68)) % 165.47/165.77 (step @p108 :rule symm :premises (@p67)) % 165.47/165.77 (step @p109 :rule trans :premises (@p108 @p107 @p106 @p83 @p105)) % 165.47/165.77 (step @p110 :rule cong :premises (@p91 @p109) :args (@t30)) % 165.47/165.77 (step @p111 :rule instantiate :premises (@p5) :args ((@list tptp.a @t28))) % 165.47/165.77 (step @p112 :rule symm :premises (@p111)) % 165.47/165.77 (step @p113 :rule instantiate :premises (@p47) :args ((@list @t51 tptp.a))) % 165.47/165.77 (step @p114 :rule symm :premises (@p113)) % 165.47/165.77 (step @p115 :rule instantiate :premises (@p7) :args ((@list @t28 tptp.a tptp.a))) % 165.47/165.77 (step @p116 :rule symm :premises (@p115)) % 165.47/165.77 (step @p117 :rule instantiate :premises (@p71) :args ((@list tptp.a))) % 165.47/165.77 (step @p118 :rule cong :premises (@p62 @p117) :args (@t51)) % 165.47/165.77 (step @p119 :rule trans :premises (@p111 @p118 @p116)) % 165.47/165.77 (step @p120 :rule cong :premises (@p111 @p119) :args (@t52)) % 165.47/165.77 (step @p121 :rule trans :premises (@p120 @p114 @p112)) % 165.47/165.77 (step @p122 :rule cong :premises (@p91 @p121) :args ((tptp.join @t25 @t52))) % 165.47/165.77 (step @p123 :rule instantiate :premises (@p8) :args ((@list @t25 @t29 @t29))) % 165.47/165.77 (step @p124 :rule trans :premises (@p123 @p122 @p110)) % 165.47/165.77 (step @p125 :rule cong :premises (@p102 @p124) :args ((tptp.meet @t30 (tptp.join @t30 @t29)))) % 165.47/165.77 (step @p126 :rule instantiate :premises (@p14) :args ((@list @t30 @t29))) % 165.47/165.77 (step @p127 :rule instantiate :premises (@p14) :args (@t53)) % 165.47/165.77 (step @p128 :rule symm :premises (@p127)) % 165.47/165.77 (step @p129 :rule refl :args (@t54)) % 165.47/165.77 (step @p130 :rule symm :premises (@p126)) % 165.47/165.77 (step @p131 :rule symm :premises (@p125)) % 165.47/165.77 (step @p132 :rule symm :premises (@p104)) % 165.47/165.77 (step @p133 :rule symm :premises (@p103)) % 165.47/165.77 (step @p134 :rule trans :premises (@p90 @p15 @p17 @p133 @p132 @p131 @p130)) % 165.47/165.77 (step @p135 :rule trans :premises (@p89 @p134)) % 165.47/165.77 (step @p136 :rule cong :premises (@p135 @p129) :args ((tptp.meet @t25 @t54))) % 165.47/165.77 (step @p137 :rule instantiate :premises (@p7) :args ((@list tptp.a @t24 @t54))) % 165.47/165.77 (step @p138 :rule symm :premises (@p137)) % 165.47/165.77 (step @p139 :rule refl :args (@t55)) % 165.47/165.77 (step @p140 :rule instantiate :premises (@p14) :args ((@list tptp.a @t56))) % 165.47/165.77 (step @p141 :rule symm :premises (@p140)) % 165.47/165.77 (step @p142 :rule refl :args (@t57)) % 165.47/165.77 (step @p143 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.a tptp.b tptp.c))) % 165.47/165.77 (step @p144 :rule symm :premises (@p143)) % 165.47/165.77 (step @p145 :rule trans :premises (@p144 @p141)) % 165.47/165.77 (step @p146 :rule cong :premises (@p145 @p142) :args ((tptp.meet (tptp.meet tptp.a (tptp.join tptp.a (tptp.meet tptp.b (tptp.join tptp.a (tptp.meet tptp.c @t58))))) @t57))) % 165.47/165.77 (step @p147 :rule instantiate :premises (@p5) :args ((@list tptp.b tptp.c))) % 165.47/165.77 (step @p148 :rule symm :premises (@p147)) % 165.47/165.77 (step @p149 :rule cong :premises (@p66 @p148) :args (@t59)) % 165.47/165.77 (step @p150 :rule symm :premises (@p145)) % 165.47/165.77 (step @p151 :rule cong :premises (@p150 @p149) :args ((tptp.meet tptp.a @t59))) % 165.47/165.77 (step @p152 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.a tptp.c tptp.b))) % 165.47/165.77 (step @p153 :rule symm :premises (@p152)) % 165.47/165.77 (step @p154 :rule instantiate :premises (@p5) :args ((@list tptp.a @t60))) % 165.47/165.77 (step @p155 :rule symm :premises (@p154)) % 165.47/165.77 (step @p156 :rule trans :premises (@p155 @p153 @p151 @p146 @p141)) % 165.47/165.77 (step @p157 :rule cong :premises (@p156 @p139) :args ((tptp.meet (tptp.meet @t60 tptp.a) @t55))) % 165.47/165.77 (step @p158 :rule cong :premises (@p134 @p29) :args (@t61)) % 165.47/165.77 (step @p159 :rule instantiate :premises (@p47) :args ((@list @t24 tptp.a))) % 165.47/165.77 (step @p160 :rule symm :premises (@p159)) % 165.47/165.77 (step @p161 :rule instantiate :premises (@p6) :args ((@list @t24 @t42))) % 165.47/165.77 (step @p162 :rule symm :premises (@p161)) % 165.47/165.77 (step @p163 :rule instantiate :premises (@p8) :args ((@list @t42 tptp.b @t23))) % 165.47/165.77 (step @p164 :rule trans :premises (@p163 @p162 @p160)) % 165.47/165.77 (step @p165 :rule cong :premises (@p164 @p158) :args ((tptp.meet @t62 @t61))) % 165.47/165.77 (step @p166 :rule instantiate :premises (@p5) :args ((@list @t61 @t62))) % 165.47/165.77 (step @p167 :rule instantiate :premises (@p14) :args ((@list @t61 @t23))) % 165.47/165.77 (step @p168 :rule symm :premises (@p158)) % 165.47/165.77 (step @p169 :rule instantiate :premises (@p6) :args (@t53)) % 165.47/165.77 (step @p170 :rule symm :premises (@p169)) % 165.47/165.77 (step @p53 :rule instantiate :premises (@p7) :args (@t37)) % 165.47/165.77 (step @p171 :rule instantiate :premises (@p6) :args (@t34)) % 165.47/165.77 (step @p172 :rule symm :premises (@p171)) % 165.47/165.77 (step @p173 :rule instantiate :premises (@p14) :args ((@list @t63 tptp.b))) % 165.47/165.77 (step @p174 :rule symm :premises (@p173)) % 165.47/165.77 (step @p175 :rule instantiate :premises (@p6) :args ((@list tptp.b @t63))) % 165.47/165.77 (step @p176 :rule instantiate :premises (@p8) :args ((@list tptp.b @t21 tptp.a))) % 165.47/165.77 (step @p177 :rule instantiate :premises (@p47) :args ((@list tptp.b tptp.d))) % 165.47/165.77 (step @p178 :rule cong :premises (@p177 @p66) :args (@t64)) % 165.47/165.77 (step @p179 :rule instantiate :premises (@p6) :args ((@list tptp.a tptp.b))) % 165.47/165.77 (step @p180 :rule trans :premises (@p179 @p178 @p176 @p175)) % 165.47/165.77 (step @p181 :rule cong :premises (@p171 @p180) :args (@t65)) % 165.47/165.77 (step @p182 :rule trans :premises (@p181 @p174 @p172)) % 165.47/165.77 (step @p183 :rule cong :premises (@p40 @p182) :args ((tptp.meet @t26 @t65))) % 165.47/165.77 (step @p184 :rule instantiate :premises (@p7) :args ((@list @t26 @t22 @t58))) % 165.47/165.77 (step @p185 :rule symm :premises (@p179)) % 165.47/165.77 (step @p186 :rule cong :premises (@p26 @p185) :args (@t66)) % 165.47/165.77 (step @p187 :rule trans :premises (@p186 @p184 @p183 @p53)) % 165.47/165.77 (step @p188 :rule cong :premises (@p29 @p187) :args (@t67)) % 165.47/165.77 (step @p189 :rule cong :premises (@p66 @p188) :args (@t68)) % 165.47/165.77 (step @p190 :rule trans :premises (@p189 @p15 @p17 @p133 @p132 @p131 @p130)) % 165.47/165.77 (step @p191 :rule cong :premises (@p29 @p190) :args (@t69)) % 165.47/165.77 (step @p192 :rule trans :premises (@p191 @p170 @p168 @p167 @p166 @p165)) % 165.47/165.77 (step @p193 :rule symm :premises (@p156)) % 165.47/165.77 (step @p194 :rule cong :premises (@p193 @p192) :args (@t70)) % 165.47/165.77 (step @p195 :rule trans :premises (@p194 @p157 @p138 @p136 @p128 @p126 @p125 @p104 @p103 @p18 @p16)) % 165.47/165.77 (step @p196 :rule cong :premises (@p39 @p40) :args ((tptp.meet @t35 @t26))) % 165.47/165.77 (step @p197 :rule instantiate :premises (@p7) :args ((@list @t22 tptp.a @t26))) % 165.47/165.77 (step @p198 :rule symm :premises (@p197)) % 165.47/165.77 (step @p199 :rule instantiate :premises (@p5) :args ((@list @t22 @t27))) % 165.47/165.77 (step @p200 :rule symm :premises (@p199)) % 165.47/165.77 (step @p201 :rule instantiate :premises (@p7) :args ((@list tptp.a @t26 @t22))) % 165.47/165.77 (step @p202 :rule symm :premises (@p201)) % 165.47/165.77 (step @p203 :rule trans :premises (@p202 @p200 @p198 @p196)) % 165.47/165.77 (step @p204 :rule cong :premises (@p29 @p203) :args (@t71)) % 165.47/165.77 (step @p205 :rule cong :premises (@p66 @p204) :args (@t72)) % 165.47/165.77 (step @p206 :rule cong :premises (@p205 @p195) :args (@t73)) % 165.47/165.77 (step @p207 :rule trans :premises (@p206 @p11)) % 165.47/165.77 (step @p208 :rule false_elim :premises (@p207)) % 165.47/165.77 (assume-push @p219 @t20) % 165.47/165.77 (step @p210 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.b tptp.a @t31))) % 165.47/165.77 (step-pop @p220 :rule scope :premises (@p210)) % 165.47/165.77 (step @p211 :rule process_scope :premises (@p220) :args (@t73)) % 165.47/165.77 (step @p213 :rule implies_elim :premises (@p211)) % 165.47/165.77 (step @p214 false :rule chain_m_resolution :premises (@p213 @p208 @p9) :args (false (@list true false) (@list @t73 @t20))) % 165.47/165.77 ) % 165.47/165.77 % SZS output end Proof % 165.47/165.78 % cvc5 exiting %------------------------------------------------------------------------------