%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT012-1 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:29:36 AM UTC 2026 % Result : Unsatisfiable 1.12s 1.34s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : LAT012-1 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.36 % Computer : n025.cluster.edu % 0.18/0.36 % Model : x86_64 x86_64 % 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.36 % Memory : 8042.1875MB % 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.36 % CPULimit : 300 % 0.19/0.36 % WCLimit : 300 % 0.19/0.36 % DateTime : Tue Jun 2 05:43:46 EDT 2026 % 0.19/0.36 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.12/1.34 % SZS status Unsatisfiable % 1.12/1.34 % SZS output start Proof % 1.12/1.35 ( % 1.12/1.35 (declare-sort $$unsorted 0) % 1.12/1.35 (declare-const tptp.a $$unsorted) % 1.12/1.35 (declare-const tptp.b $$unsorted) % 1.12/1.35 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (define @t1 () (@var "X" $$unsorted)) % 1.12/1.35 (define @t2 () (@var "Z" $$unsorted)) % 1.12/1.35 (define @t3 () (@var "Y" $$unsorted)) % 1.12/1.35 (define @t4 () (tptp.join @t1 (tptp.meet @t3 (tptp.meet @t1 @t2)))) % 1.12/1.35 (define @t5 () (@list @t1 @t3 @t2)) % 1.12/1.35 (define @t6 () (forall @t5 (= @t4 @t1))) % 1.12/1.35 (define @t7 () (tptp.meet @t1 (tptp.join @t3 (tptp.join @t1 @t2)))) % 1.12/1.35 (define @t8 () (forall @t5 (= @t7 @t1))) % 1.12/1.35 (define @t9 () (tptp.join (tptp.join (tptp.meet @t1 @t3) (tptp.meet @t3 @t2)) @t3)) % 1.12/1.35 (define @t10 () (forall @t5 (= @t9 @t3))) % 1.12/1.35 (define @t11 () (tptp.meet (tptp.meet (tptp.join @t1 @t3) (tptp.join @t3 @t2)) @t3)) % 1.12/1.35 (define @t12 () (forall @t5 (= @t11 @t3))) % 1.12/1.35 (define @t13 () (tptp.meet tptp.a tptp.b)) % 1.12/1.35 (define @t14 () (tptp.meet tptp.b tptp.a)) % 1.12/1.35 (define @t15 () (tptp.join tptp.b tptp.b)) % 1.12/1.35 (define @t16 () (tptp.meet @t15 @t15)) % 1.12/1.35 (define @t17 () (tptp.meet @t16 tptp.b)) % 1.12/1.35 (define @t18 () (tptp.meet tptp.a @t17)) % 1.12/1.35 (define @t19 () (tptp.join @t18 tptp.a)) % 1.12/1.35 (define @t20 () (tptp.join @t16 @t18)) % 1.12/1.35 (define @t21 () (tptp.meet @t20 @t19)) % 1.12/1.35 (define @t22 () (tptp.meet @t21 @t18)) % 1.12/1.35 (define @t23 () (= @t18 @t22)) % 1.12/1.35 (define @t24 () (= @t22 @t18)) % 1.12/1.35 (define @t25 () (@list tptp.b tptp.b tptp.b)) % 1.12/1.35 (define @t26 () (tptp.join @t14 @t13)) % 1.12/1.35 (define @t27 () (tptp.join @t26 tptp.a)) % 1.12/1.35 (define @t28 () (tptp.join @t26 @t27)) % 1.12/1.35 (define @t29 () (tptp.join @t13 @t14)) % 1.12/1.35 (define @t30 () (tptp.meet @t29 @t26)) % 1.12/1.35 (define @t31 () (tptp.meet @t20 (tptp.join @t18 @t14))) % 1.12/1.35 (define @t32 () (tptp.meet @t31 @t13)) % 1.12/1.35 (define @t33 () (tptp.join tptp.a @t32)) % 1.12/1.35 (define @t34 () (tptp.meet @t27 @t33)) % 1.12/1.35 (define @t35 () (tptp.meet @t26 (tptp.meet @t34 tptp.a))) % 1.12/1.35 (define @t36 () (tptp.join @t30 @t26)) % 1.12/1.35 (define @t37 () (tptp.meet @t30 @t14)) % 1.12/1.35 (define @t38 () (tptp.join @t37 (tptp.meet @t14 @t36))) % 1.12/1.35 (define @t39 () (tptp.meet tptp.b tptp.b)) % 1.12/1.35 (define @t40 () (tptp.join @t39 (tptp.join @t38 @t14))) % 1.12/1.35 (define @t41 () (tptp.meet @t33 (tptp.join @t32 @t14))) % 1.12/1.35 (define @t42 () (tptp.join (tptp.meet @t41 @t32) (tptp.meet @t32 @t32))) % 1.12/1.35 (define @t43 () (tptp.join @t42 @t32)) % 1.12/1.35 (define @t44 () (tptp.join @t14 @t43)) % 1.12/1.35 (define @t45 () (tptp.join @t13 @t39)) % 1.12/1.35 (define @t46 () (tptp.meet tptp.b @t39)) % 1.12/1.35 (define @t47 () (tptp.join @t17 @t46)) % 1.12/1.35 (define @t48 () (tptp.join @t29 (tptp.join @t45 tptp.b))) % 1.12/1.35 (define @t49 () (tptp.join tptp.b @t15)) % 1.12/1.35 (define @t50 () (tptp.join @t39 @t46)) % 1.12/1.35 (define @t51 () (tptp.meet @t45 @t50)) % 1.12/1.35 (define @t52 () (tptp.join @t39 @t14)) % 1.12/1.35 (define @t53 () (tptp.meet @t40 @t18)) % 1.12/1.35 (define @t54 () (tptp.meet @t52 @t26)) % 1.12/1.35 (define @t55 () (tptp.join (tptp.meet @t38 @t40) @t53)) % 1.12/1.35 (define @t56 () (tptp.join @t26 @t33)) % 1.12/1.35 (define @t57 () (tptp.join @t42 @t43)) % 1.12/1.35 (define @t58 () (tptp.join @t32 @t39)) % 1.12/1.35 (define @t59 () (tptp.meet @t33 @t58)) % 1.12/1.35 (define @t60 () (tptp.meet @t59 @t32)) % 1.12/1.35 (define @t61 () (tptp.meet @t20 (tptp.join @t18 @t39))) % 1.12/1.35 (define @t62 () (tptp.meet tptp.a @t61)) % 1.12/1.35 (define @t63 () (tptp.join @t62 (tptp.meet @t61 @t18))) % 1.12/1.35 (define @t64 () (forall @t5 (= @t3 @t11))) % 1.12/1.35 (assume @p1 @t6) % 1.12/1.35 (assume @p2 @t8) % 1.12/1.35 (assume @p3 @t10) % 1.12/1.35 (assume @p4 @t12) % 1.12/1.35 (assume @p5 (not (= @t14 @t13))) % 1.12/1.35 (step @p6 :rule eq-symm :args (@t11 @t3)) % 1.12/1.35 (step @p7 :rule cong :premises (@p6) :args (@t12)) % 1.12/1.35 (step @p8 :rule eq_resolve :premises (@p4 @p7)) % 1.12/1.35 (step @p9 :rule bool-eq-false :args (@t23)) % 1.12/1.35 (step @p10 :rule symm :premises (@p9)) % 1.12/1.35 (step @p11 :rule eq-symm :args (@t22 @t18)) % 1.12/1.35 (step @p12 :rule cong :premises (@p11) :args ((not @t24))) % 1.12/1.35 (step @p13 :rule bool-eq-false :args (@t24)) % 1.12/1.35 (step @p14 :rule trans :premises (@p13 @p12)) % 1.12/1.35 (step @p15 :rule trans :premises (@p14 @p10)) % 1.12/1.35 (step @p16 :rule false_intro :premises (@p5)) % 1.12/1.35 (step @p17 :rule instantiate :premises (@p8) :args (@t25)) % 1.12/1.35 (step @p18 :rule symm :premises (@p17)) % 1.12/1.35 (step @p19 :rule refl :args (tptp.a)) % 1.12/1.35 (step @p20 :rule cong :premises (@p19 @p18) :args (@t18)) % 1.12/1.35 (step @p21 :rule eq-symm :args (@t7 @t1)) % 1.12/1.35 (step @p22 :rule cong :premises (@p21) :args (@t8)) % 1.12/1.35 (step @p23 :rule eq_resolve :premises (@p2 @p22)) % 1.12/1.35 (step @p24 :rule instantiate :premises (@p23) :args ((@list @t14 (tptp.join @t30 (tptp.meet @t26 @t28)) @t13))) % 1.12/1.35 (step @p25 :rule symm :premises (@p24)) % 1.12/1.35 (step @p26 :rule eq-symm :args (@t9 @t3)) % 1.12/1.35 (step @p27 :rule cong :premises (@p26) :args (@t10)) % 1.12/1.35 (step @p28 :rule eq_resolve :premises (@p3 @p27)) % 1.12/1.35 (step @p29 :rule instantiate :premises (@p28) :args ((@list @t29 @t26 @t28))) % 1.12/1.35 (step @p30 :rule instantiate :premises (@p23) :args ((@list @t26 @t26 tptp.a))) % 1.12/1.35 (step @p31 :rule symm :premises (@p30)) % 1.12/1.35 (step @p32 :rule instantiate :premises (@p28) :args ((@list tptp.b tptp.a tptp.b))) % 1.12/1.35 (step @p33 :rule refl :args (@t26)) % 1.12/1.35 (step @p34 :rule cong :premises (@p33 @p32) :args (@t27)) % 1.12/1.35 (step @p35 :rule trans :premises (@p32 @p34)) % 1.12/1.35 (step @p36 :rule cong :premises (@p33 @p35) :args ((tptp.meet @t26 tptp.a))) % 1.12/1.35 (step @p37 :rule instantiate :premises (@p8) :args ((@list @t26 tptp.a @t32))) % 1.12/1.35 (step @p38 :rule symm :premises (@p37)) % 1.12/1.35 (step @p39 :rule cong :premises (@p33 @p38) :args (@t35)) % 1.12/1.35 (step @p40 :rule instantiate :premises (@p8) :args ((@list @t34 @t35 @t40))) % 1.12/1.35 (step @p41 :rule symm :premises (@p40)) % 1.12/1.35 (step @p42 :rule symm :premises (@p39)) % 1.12/1.35 (step @p43 :rule symm :premises (@p36)) % 1.12/1.35 (step @p44 :rule instantiate :premises (@p8) :args ((@list @t16 @t18 @t14))) % 1.12/1.35 (step @p45 :rule symm :premises (@p44)) % 1.12/1.35 (step @p46 :rule symm :premises (@p20)) % 1.12/1.35 (step @p47 :rule refl :args (@t31)) % 1.12/1.35 (step @p48 :rule cong :premises (@p47 @p46) :args (@t32)) % 1.12/1.35 (step @p49 :rule instantiate :premises (@p28) :args ((@list @t41 @t32 @t32))) % 1.12/1.35 (step @p50 :rule symm :premises (@p49)) % 1.12/1.35 (step @p51 :rule trans :premises (@p50 @p48 @p45 @p20)) % 1.12/1.35 (step @p52 :rule refl :args (@t14)) % 1.12/1.35 (step @p53 :rule cong :premises (@p52 @p51) :args (@t44)) % 1.12/1.35 (step @p54 :rule trans :premises (@p53 @p30 @p43 @p42)) % 1.12/1.35 (step @p55 :rule refl :args (@t40)) % 1.12/1.35 (step @p56 :rule trans :premises (@p30 @p43 @p42)) % 1.12/1.35 (step @p57 :rule instantiate :premises (@p8) :args ((@list @t16 @t18 @t39))) % 1.12/1.35 (step @p58 :rule symm :premises (@p57)) % 1.12/1.35 (step @p59 :rule refl :args (@t18)) % 1.12/1.35 (step @p60 :rule refl :args (@t39)) % 1.12/1.35 (step @p61 :rule cong :premises (@p46 @p60) :args (@t45)) % 1.12/1.35 (step @p62 :rule instantiate :premises (@p23) :args ((@list @t45 tptp.b tptp.b))) % 1.12/1.35 (step @p63 :rule symm :premises (@p62)) % 1.12/1.35 (step @p64 :rule instantiate :premises (@p28) :args ((@list tptp.a tptp.b tptp.b))) % 1.12/1.35 (step @p65 :rule refl :args (tptp.b)) % 1.12/1.35 (step @p66 :rule cong :premises (@p65 @p64) :args (@t15)) % 1.12/1.35 (step @p67 :rule eq-symm :args (@t4 @t1)) % 1.12/1.35 (step @p68 :rule cong :premises (@p67) :args (@t6)) % 1.12/1.35 (step @p69 :rule eq_resolve :premises (@p1 @p68)) % 1.12/1.35 (step @p70 :rule instantiate :premises (@p69) :args (@t25)) % 1.12/1.35 (step @p71 :rule symm :premises (@p70)) % 1.12/1.35 (step @p72 :rule refl :args (@t46)) % 1.12/1.35 (step @p73 :rule cong :premises (@p18 @p72) :args (@t47)) % 1.12/1.35 (step @p74 :rule trans :premises (@p73 @p71)) % 1.12/1.35 (step @p75 :rule cong :premises (@p74 @p65) :args ((tptp.join @t47 tptp.b))) % 1.12/1.35 (step @p76 :rule instantiate :premises (@p28) :args ((@list @t16 tptp.b @t39))) % 1.12/1.35 (step @p77 :rule instantiate :premises (@p28) :args ((@list tptp.a tptp.b tptp.a))) % 1.12/1.35 (step @p78 :rule symm :premises (@p77)) % 1.12/1.35 (step @p79 :rule refl :args (@t29)) % 1.12/1.35 (step @p80 :rule cong :premises (@p79 @p78) :args ((tptp.join @t29 (tptp.join @t29 tptp.b)))) % 1.12/1.35 (step @p81 :rule symm :premises (@p64)) % 1.12/1.35 (step @p82 :rule trans :premises (@p81 @p77)) % 1.12/1.35 (step @p83 :rule cong :premises (@p79 @p82) :args (@t48)) % 1.12/1.35 (step @p84 :rule trans :premises (@p83 @p80 @p78 @p76 @p75 @p66)) % 1.12/1.35 (step @p85 :rule refl :args (@t45)) % 1.12/1.35 (step @p86 :rule cong :premises (@p85 @p84) :args ((tptp.meet @t45 @t48))) % 1.12/1.35 (step @p87 :rule symm :premises (@p83)) % 1.12/1.35 (step @p88 :rule symm :premises (@p80)) % 1.12/1.35 (step @p89 :rule instantiate :premises (@p23) :args (@t25)) % 1.12/1.35 (step @p90 :rule symm :premises (@p89)) % 1.12/1.35 (step @p91 :rule refl :args (@t49)) % 1.12/1.35 (step @p92 :rule instantiate :premises (@p28) :args (@t25)) % 1.12/1.35 (step @p93 :rule symm :premises (@p92)) % 1.12/1.35 (step @p94 :rule cong :premises (@p93 @p91) :args ((tptp.meet (tptp.join (tptp.join @t39 @t39) tptp.b) @t49))) % 1.12/1.35 (step @p95 :rule trans :premises (@p76 @p75)) % 1.12/1.35 (step @p96 :rule cong :premises (@p65 @p95) :args (@t15)) % 1.12/1.35 (step @p97 :rule trans :premises (@p76 @p75 @p96)) % 1.12/1.35 (step @p98 :rule cong :premises (@p92 @p97) :args (@t39)) % 1.12/1.35 (step @p99 :rule trans :premises (@p98 @p94 @p90 @p77 @p88 @p87)) % 1.12/1.35 (step @p100 :rule symm :premises (@p76)) % 1.12/1.35 (step @p101 :rule symm :premises (@p75)) % 1.12/1.35 (step @p102 :rule trans :premises (@p98 @p94 @p90)) % 1.12/1.35 (step @p103 :rule cong :premises (@p65 @p102) :args (@t46)) % 1.12/1.35 (step @p104 :rule trans :premises (@p103 @p98 @p94 @p90)) % 1.12/1.35 (step @p105 :rule cong :premises (@p102 @p104) :args (@t50)) % 1.12/1.35 (step @p106 :rule trans :premises (@p105 @p101 @p100 @p77 @p88 @p87)) % 1.12/1.35 (step @p107 :rule cong :premises (@p85 @p106) :args (@t51)) % 1.12/1.35 (step @p108 :rule trans :premises (@p107 @p86 @p63)) % 1.12/1.35 (step @p109 :rule cong :premises (@p108 @p99) :args ((tptp.meet @t51 @t39))) % 1.12/1.35 (step @p110 :rule instantiate :premises (@p8) :args ((@list @t13 @t39 @t46))) % 1.12/1.35 (step @p111 :rule symm :premises (@p98)) % 1.12/1.35 (step @p112 :rule symm :premises (@p94)) % 1.12/1.35 (step @p113 :rule trans :premises (@p89 @p112 @p111 @p110 @p109 @p86 @p63 @p61)) % 1.12/1.35 (step @p114 :rule instantiate :premises (@p69) :args ((@list @t16 tptp.a tptp.b))) % 1.12/1.35 (step @p115 :rule cong :premises (@p95 @p95) :args (@t39)) % 1.12/1.35 (step @p116 :rule trans :premises (@p89 @p112 @p111 @p115 @p114)) % 1.12/1.35 (step @p117 :rule cong :premises (@p116 @p113) :args (@t39)) % 1.12/1.35 (step @p118 :rule trans :premises (@p89 @p112 @p111 @p117)) % 1.12/1.35 (step @p119 :rule instantiate :premises (@p69) :args ((@list tptp.b @t30 tptp.a))) % 1.12/1.35 (step @p120 :rule symm :premises (@p119)) % 1.12/1.35 (step @p121 :rule instantiate :premises (@p8) :args ((@list @t13 @t14 @t13))) % 1.12/1.35 (step @p122 :rule cong :premises (@p102 @p121) :args (@t52)) % 1.12/1.35 (step @p123 :rule instantiate :premises (@p28) :args ((@list @t30 @t14 @t36))) % 1.12/1.35 (step @p124 :rule symm :premises (@p123)) % 1.12/1.35 (step @p125 :rule cong :premises (@p60 @p124) :args (@t40)) % 1.12/1.35 (step @p126 :rule trans :premises (@p125 @p122 @p120)) % 1.12/1.35 (step @p127 :rule trans :premises (@p126 @p118)) % 1.12/1.35 (step @p128 :rule cong :premises (@p127 @p59) :args (@t53)) % 1.12/1.35 (step @p129 :rule trans :premises (@p128 @p58 @p20)) % 1.12/1.35 (step @p130 :rule instantiate :premises (@p69) :args ((@list @t14 @t30 (tptp.join @t54 @t26)))) % 1.12/1.35 (step @p131 :rule symm :premises (@p130)) % 1.12/1.35 (step @p132 :rule instantiate :premises (@p23) :args ((@list @t14 @t54 @t13))) % 1.12/1.35 (step @p133 :rule instantiate :premises (@p8) :args ((@list @t39 @t14 @t13))) % 1.12/1.35 (step @p134 :rule symm :premises (@p133)) % 1.12/1.35 (step @p135 :rule trans :premises (@p134 @p132)) % 1.12/1.35 (step @p136 :rule refl :args (@t30)) % 1.12/1.35 (step @p137 :rule cong :premises (@p136 @p135) :args ((tptp.meet @t30 (tptp.meet @t54 @t14)))) % 1.12/1.35 (step @p138 :rule cong :premises (@p136 @p133) :args (@t37)) % 1.12/1.35 (step @p139 :rule instantiate :premises (@p23) :args ((@list @t14 @t30 @t13))) % 1.12/1.35 (step @p140 :rule symm :premises (@p139)) % 1.12/1.35 (step @p141 :rule trans :premises (@p140 @p121 @p138 @p137)) % 1.12/1.35 (step @p142 :rule symm :premises (@p121)) % 1.12/1.35 (step @p143 :rule cong :premises (@p142 @p141) :args (@t38)) % 1.12/1.35 (step @p144 :rule instantiate :premises (@p23) :args ((@list @t38 @t39 @t14))) % 1.12/1.35 (step @p145 :rule symm :premises (@p144)) % 1.12/1.35 (step @p146 :rule trans :premises (@p145 @p143 @p131)) % 1.12/1.35 (step @p147 :rule cong :premises (@p146 @p129) :args (@t55)) % 1.12/1.35 (step @p148 :rule trans :premises (@p147 @p56)) % 1.12/1.35 (step @p149 :rule cong :premises (@p148 @p55) :args ((tptp.join @t55 @t40))) % 1.12/1.35 (step @p150 :rule instantiate :premises (@p28) :args ((@list @t38 @t40 @t18))) % 1.12/1.35 (step @p151 :rule symm :premises (@p125)) % 1.12/1.35 (step @p152 :rule symm :premises (@p122)) % 1.12/1.35 (step @p153 :rule trans :premises (@p18 @p119 @p152 @p151 @p150 @p149)) % 1.12/1.35 (step @p154 :rule instantiate :premises (@p69) :args ((@list @t34 @t26 tptp.a))) % 1.12/1.35 (step @p155 :rule instantiate :premises (@p69) :args ((@list tptp.a @t31 tptp.b))) % 1.12/1.35 (step @p156 :rule symm :premises (@p32)) % 1.12/1.35 (step @p157 :rule symm :premises (@p34)) % 1.12/1.35 (step @p158 :rule symm :premises (@p155)) % 1.12/1.35 (step @p159 :rule trans :premises (@p158 @p32)) % 1.12/1.35 (step @p160 :rule cong :premises (@p33 @p159) :args (@t56)) % 1.12/1.35 (step @p161 :rule trans :premises (@p160 @p157 @p156 @p155)) % 1.12/1.35 (step @p162 :rule cong :premises (@p32 @p161) :args ((tptp.meet tptp.a @t56))) % 1.12/1.35 (step @p163 :rule instantiate :premises (@p23) :args ((@list tptp.a @t26 @t32))) % 1.12/1.35 (step @p164 :rule trans :premises (@p163 @p162 @p154)) % 1.12/1.35 (step @p165 :rule cong :premises (@p164 @p153) :args (@t18)) % 1.12/1.35 (step @p166 :rule trans :premises (@p46 @p165)) % 1.12/1.35 (step @p167 :rule refl :args (@t42)) % 1.12/1.35 (step @p168 :rule cong :premises (@p167 @p50) :args (@t57)) % 1.12/1.35 (step @p169 :rule instantiate :premises (@p28) :args ((@list @t42 @t57 @t32))) % 1.12/1.35 (step @p170 :rule symm :premises (@p169)) % 1.12/1.35 (step @p171 :rule symm :premises (@p168)) % 1.12/1.35 (step @p172 :rule symm :premises (@p48)) % 1.12/1.35 (step @p173 :rule trans :premises (@p58 @p44 @p172 @p49 @p171)) % 1.12/1.35 (step @p174 :rule refl :args (@t32)) % 1.12/1.35 (step @p175 :rule trans :premises (@p46 @p44 @p172 @p49 @p171)) % 1.12/1.35 (step @p176 :rule symm :premises (@p110)) % 1.12/1.35 (step @p177 :rule symm :premises (@p109)) % 1.12/1.35 (step @p178 :rule symm :premises (@p86)) % 1.12/1.35 (step @p179 :rule trans :premises (@p46 @p44 @p172)) % 1.12/1.35 (step @p180 :rule symm :premises (@p179)) % 1.12/1.35 (step @p181 :rule cong :premises (@p180 @p60) :args (@t58)) % 1.12/1.35 (step @p182 :rule trans :premises (@p181 @p62 @p178 @p177 @p176 @p98 @p94 @p90 @p17)) % 1.12/1.35 (step @p183 :rule cong :premises (@p158 @p182) :args (@t59)) % 1.12/1.35 (step @p184 :rule trans :premises (@p183 @p20)) % 1.12/1.35 (step @p185 :rule trans :premises (@p184 @p175)) % 1.12/1.35 (step @p186 :rule cong :premises (@p185 @p174) :args (@t60)) % 1.12/1.35 (step @p187 :rule instantiate :premises (@p8) :args ((@list tptp.a @t32 @t39))) % 1.12/1.35 (step @p188 :rule trans :premises (@p187 @p186)) % 1.12/1.35 (step @p189 :rule instantiate :premises (@p23) :args ((@list @t42 @t42 @t32))) % 1.12/1.35 (step @p190 :rule cong :premises (@p189 @p188) :args (@t43)) % 1.12/1.35 (step @p191 :rule trans :premises (@p46 @p44 @p172 @p49 @p190)) % 1.12/1.35 (step @p192 :rule symm :premises (@p117)) % 1.12/1.35 (step @p193 :rule trans :premises (@p192 @p98 @p94 @p90 @p17)) % 1.12/1.35 (step @p194 :rule cong :premises (@p19 @p193) :args (@t62)) % 1.12/1.35 (step @p195 :rule trans :premises (@p194 @p20)) % 1.12/1.35 (step @p196 :rule trans :premises (@p195 @p191)) % 1.12/1.35 (step @p197 :rule cong :premises (@p196 @p173) :args (@t63)) % 1.12/1.35 (step @p198 :rule trans :premises (@p184 @p179)) % 1.12/1.35 (step @p199 :rule cong :premises (@p198 @p174) :args (@t60)) % 1.12/1.35 (step @p200 :rule trans :premises (@p58 @p44 @p172 @p187 @p199)) % 1.12/1.35 (step @p201 :rule instantiate :premises (@p8) :args ((@list tptp.a @t32 @t14))) % 1.12/1.35 (step @p202 :rule trans :premises (@p46 @p44 @p172 @p201)) % 1.12/1.35 (step @p203 :rule trans :premises (@p195 @p202)) % 1.12/1.35 (step @p204 :rule cong :premises (@p203 @p200) :args (@t63)) % 1.12/1.35 (step @p205 :rule symm :premises (@p204)) % 1.12/1.35 (step @p206 :rule trans :premises (@p205 @p197 @p170 @p168 @p50 @p48 @p45 @p20)) % 1.12/1.35 (step @p207 :rule trans :premises (@p206 @p166)) % 1.12/1.35 (step @p208 :rule cong :premises (@p207 @p54) :args ((tptp.meet @t42 @t44))) % 1.12/1.35 (step @p209 :rule instantiate :premises (@p23) :args ((@list @t42 @t14 @t32))) % 1.12/1.35 (step @p210 :rule symm :premises (@p197)) % 1.12/1.35 (step @p211 :rule trans :premises (@p44 @p172 @p49 @p171 @p169 @p210 @p204 @p209 @p208 @p41 @p39 @p36 @p31 @p29)) % 1.12/1.35 (step @p212 :rule trans :premises (@p44 @p172 @p49 @p171 @p169 @p210 @p204 @p209 @p208 @p41 @p39 @p36 @p31)) % 1.12/1.35 (step @p213 :rule cong :premises (@p212 @p32) :args (@t19)) % 1.12/1.35 (step @p214 :rule trans :premises (@p213 @p157 @p156)) % 1.12/1.35 (step @p215 :rule symm :premises (@p116)) % 1.12/1.35 (step @p216 :rule cong :premises (@p215 @p214) :args (@t21)) % 1.12/1.35 (step @p217 :rule cong :premises (@p216 @p211) :args (@t22)) % 1.12/1.35 (step @p218 :rule trans :premises (@p217 @p25)) % 1.12/1.35 (step @p219 :rule cong :premises (@p218 @p20) :args (@t24)) % 1.12/1.35 (step @p220 :rule trans :premises (@p219 @p16)) % 1.12/1.35 (step @p221 :rule eq_resolve :premises (@p220 @p15)) % 1.12/1.35 (step @p222 :rule false_elim :premises (@p221)) % 1.12/1.35 (assume-push @p229 @t64) % 1.12/1.35 (step @p224 :rule instantiate :premises (@p8) :args ((@list @t16 @t18 tptp.a))) % 1.12/1.35 (step-pop @p230 :rule scope :premises (@p224)) % 1.12/1.35 (step @p225 :rule process_scope :premises (@p230) :args (@t23)) % 1.12/1.35 (step @p227 :rule implies_elim :premises (@p225)) % 1.12/1.35 (step @p228 false :rule chain_m_resolution :premises (@p227 @p222 @p8) :args (false (@list true false) (@list @t23 @t64))) % 1.12/1.35 ) % 1.12/1.35 % SZS output end Proof % 1.12/1.35 % cvc5 exiting %------------------------------------------------------------------------------