%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT026-1 : 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 : n012.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 08:29:38 AM UTC 2026 % Result : Unsatisfiable 2.02s 2.28s % Output : Proof 2.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : LAT026-1 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 05:44:03 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.02/2.28 % SZS status Unsatisfiable % 2.02/2.28 % SZS output start Proof % 2.02/2.29 ( % 2.02/2.29 (declare-sort $$unsorted 0) % 2.02/2.29 (declare-const tptp.a $$unsorted) % 2.02/2.29 (declare-const tptp.b $$unsorted) % 2.02/2.29 (declare-const tptp.c $$unsorted) % 2.02/2.29 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (define @t1 () (@var "X" $$unsorted)) % 2.02/2.29 (define @t2 () (tptp.meet @t1 @t1)) % 2.02/2.29 (define @t3 () (@list @t1)) % 2.02/2.29 (define @t4 () (forall @t3 (= @t2 @t1))) % 2.02/2.29 (define @t5 () (tptp.join @t1 @t1)) % 2.02/2.29 (define @t6 () (forall @t3 (= @t5 @t1))) % 2.02/2.29 (define @t7 () (@var "Y" $$unsorted)) % 2.02/2.29 (define @t8 () (tptp.meet @t1 @t7)) % 2.02/2.29 (define @t9 () (@list @t1 @t7)) % 2.02/2.29 (define @t10 () (tptp.join @t1 @t7)) % 2.02/2.29 (define @t11 () (forall @t9 (= @t10 (tptp.join @t7 @t1)))) % 2.02/2.29 (define @t12 () (@var "Z" $$unsorted)) % 2.02/2.29 (define @t13 () (tptp.meet (tptp.meet @t10 (tptp.join @t12 @t7)) @t7)) % 2.02/2.29 (define @t14 () (@list @t1 @t7 @t12)) % 2.02/2.29 (define @t15 () (forall @t14 (= @t13 @t7))) % 2.02/2.29 (define @t16 () (tptp.join (tptp.join @t8 (tptp.meet @t12 @t7)) @t7)) % 2.02/2.29 (define @t17 () (forall @t14 (= @t16 @t7))) % 2.02/2.29 (define @t18 () (tptp.meet @t1 (tptp.join @t7 (tptp.join @t1 @t12)))) % 2.02/2.29 (define @t19 () (forall @t14 (= @t18 @t1))) % 2.02/2.29 (define @t20 () (tptp.meet tptp.b tptp.c)) % 2.02/2.29 (define @t21 () (tptp.meet tptp.a @t20)) % 2.02/2.29 (define @t22 () (tptp.meet tptp.a tptp.b)) % 2.02/2.29 (define @t23 () (tptp.meet @t22 tptp.c)) % 2.02/2.29 (define @t24 () (tptp.join @t21 @t21)) % 2.02/2.29 (define @t25 () (tptp.join @t20 @t20)) % 2.02/2.29 (define @t26 () (tptp.meet @t24 tptp.c)) % 2.02/2.29 (define @t27 () (tptp.join @t23 @t26)) % 2.02/2.29 (define @t28 () (tptp.meet tptp.c @t22)) % 2.02/2.29 (define @t29 () (tptp.join @t28 @t28)) % 2.02/2.29 (define @t30 () (tptp.meet @t20 tptp.a)) % 2.02/2.29 (define @t31 () (@list tptp.a tptp.b)) % 2.02/2.29 (define @t32 () (tptp.meet tptp.b tptp.a)) % 2.02/2.29 (define @t33 () (tptp.join @t30 @t32)) % 2.02/2.29 (define @t34 () (tptp.join @t32 @t24)) % 2.02/2.29 (define @t35 () (tptp.meet @t29 @t34)) % 2.02/2.29 (define @t36 () (tptp.meet @t21 @t34)) % 2.02/2.29 (define @t37 () (tptp.join @t36 @t35)) % 2.02/2.29 (define @t38 () (tptp.join @t36 (tptp.join @t23 @t23))) % 2.02/2.29 (define @t39 () (tptp.join tptp.a tptp.b)) % 2.02/2.29 (define @t40 () (tptp.meet @t39 @t39)) % 2.02/2.29 (define @t41 () (tptp.meet tptp.b @t40)) % 2.02/2.29 (define @t42 () (tptp.join @t32 @t30)) % 2.02/2.29 (define @t43 () (tptp.join @t30 (tptp.join @t22 @t29))) % 2.02/2.29 (define @t44 () (@list tptp.a)) % 2.02/2.29 (define @t45 () (tptp.join tptp.a tptp.a)) % 2.02/2.29 (define @t46 () (tptp.join tptp.b @t45)) % 2.02/2.29 (define @t47 () (tptp.join tptp.b tptp.a)) % 2.02/2.29 (define @t48 () (tptp.meet @t33 @t40)) % 2.02/2.29 (define @t49 () (@list tptp.a tptp.b tptp.a)) % 2.02/2.29 (define @t50 () (tptp.meet tptp.c tptp.b)) % 2.02/2.29 (define @t51 () (tptp.join @t50 @t50)) % 2.02/2.29 (define @t52 () (tptp.meet @t24 tptp.b)) % 2.02/2.29 (define @t53 () (tptp.join @t22 @t52)) % 2.02/2.29 (define @t54 () (tptp.join @t32 @t32)) % 2.02/2.29 (define @t55 () (tptp.join @t29 @t22)) % 2.02/2.29 (define @t56 () (tptp.join tptp.a @t55)) % 2.02/2.29 (define @t57 () (tptp.meet @t29 @t56)) % 2.02/2.29 (define @t58 () (tptp.join @t22 @t22)) % 2.02/2.29 (define @t59 () (tptp.meet @t46 @t56)) % 2.02/2.29 (define @t60 () (tptp.join @t57 @t59)) % 2.02/2.29 (define @t61 () (tptp.join tptp.a (tptp.join @t60 @t56))) % 2.02/2.29 (define @t62 () (tptp.meet @t60 @t61)) % 2.02/2.29 (define @t63 () (tptp.meet @t29 tptp.a)) % 2.02/2.29 (define @t64 () (tptp.meet tptp.a tptp.a)) % 2.02/2.29 (define @t65 () (tptp.join @t64 @t23)) % 2.02/2.29 (define @t66 () (tptp.join @t23 @t20)) % 2.02/2.29 (define @t67 () (tptp.join @t20 @t23)) % 2.02/2.29 (define @t68 () (= @t66 @t67)) % 2.02/2.29 (define @t69 () (tptp.join tptp.b @t55)) % 2.02/2.29 (define @t70 () (tptp.join tptp.b @t67)) % 2.02/2.29 (define @t71 () (tptp.meet (tptp.join tptp.c @t67) @t70)) % 2.02/2.29 (define @t72 () (tptp.meet @t67 @t65)) % 2.02/2.29 (define @t73 () (tptp.meet @t72 @t23)) % 2.02/2.29 (define @t74 () (= @t23 @t73)) % 2.02/2.29 (define @t75 () (forall @t14 (= @t7 @t13))) % 2.02/2.29 (assume @p1 @t4) % 2.02/2.29 (assume @p2 @t6) % 2.02/2.29 (assume @p3 (forall @t9 (= @t8 (tptp.meet @t7 @t1)))) % 2.02/2.29 (assume @p4 @t11) % 2.02/2.29 (assume @p5 @t15) % 2.02/2.29 (assume @p6 @t17) % 2.02/2.29 (assume @p7 @t19) % 2.02/2.29 (assume @p8 (not (= @t23 @t21))) % 2.02/2.29 (step @p9 :rule eq-symm :args (@t13 @t7)) % 2.02/2.29 (step @p10 :rule cong :premises (@p9) :args (@t15)) % 2.02/2.29 (step @p11 :rule eq_resolve :premises (@p5 @p10)) % 2.02/2.29 (step @p12 :rule false_intro :premises (@p8)) % 2.02/2.29 (step @p13 :rule eq-symm :args (@t18 @t1)) % 2.02/2.29 (step @p14 :rule cong :premises (@p13) :args (@t19)) % 2.02/2.29 (step @p15 :rule eq_resolve :premises (@p7 @p14)) % 2.02/2.29 (step @p16 :rule instantiate :premises (@p15) :args ((@list @t21 @t23 @t21))) % 2.02/2.29 (step @p17 :rule symm :premises (@p16)) % 2.02/2.29 (step @p18 :rule instantiate :premises (@p15) :args ((@list @t24 tptp.c @t20))) % 2.02/2.29 (step @p19 :rule symm :premises (@p18)) % 2.02/2.29 (step @p20 :rule eq-symm :args (@t16 @t7)) % 2.02/2.29 (step @p21 :rule cong :premises (@p20) :args (@t17)) % 2.02/2.29 (step @p22 :rule eq_resolve :premises (@p6 @p21)) % 2.02/2.29 (step @p23 :rule instantiate :premises (@p22) :args ((@list tptp.a @t20 tptp.a))) % 2.02/2.29 (step @p24 :rule eq-symm :args (@t5 @t1)) % 2.02/2.29 (step @p25 :rule cong :premises (@p24) :args (@t6)) % 2.02/2.29 (step @p26 :rule eq_resolve :premises (@p2 @p25)) % 2.02/2.29 (step @p27 :rule instantiate :premises (@p26) :args ((@list @t20))) % 2.02/2.29 (step @p28 :rule symm :premises (@p27)) % 2.02/2.29 (step @p29 :rule trans :premises (@p28 @p23)) % 2.02/2.29 (step @p30 :rule refl :args (tptp.c)) % 2.02/2.29 (step @p31 :rule cong :premises (@p30 @p29) :args ((tptp.join tptp.c @t25))) % 2.02/2.29 (step @p32 :rule instantiate :premises (@p4) :args ((@list @t25 tptp.c))) % 2.02/2.29 (step @p33 :rule instantiate :premises (@p22) :args ((@list tptp.b tptp.c tptp.b))) % 2.02/2.29 (step @p34 :rule trans :premises (@p33 @p32 @p31)) % 2.02/2.29 (step @p35 :rule refl :args (@t24)) % 2.02/2.29 (step @p36 :rule cong :premises (@p35 @p34) :args (@t26)) % 2.02/2.29 (step @p37 :rule trans :premises (@p36 @p19)) % 2.02/2.29 (step @p38 :rule refl :args (@t23)) % 2.02/2.29 (step @p39 :rule cong :premises (@p38 @p37) :args (@t27)) % 2.02/2.29 (step @p40 :rule instantiate :premises (@p4) :args ((@list @t23 @t26))) % 2.02/2.29 (step @p41 :rule symm :premises (@p40)) % 2.02/2.29 (step @p42 :rule instantiate :premises (@p26) :args ((@list @t23))) % 2.02/2.29 (step @p43 :rule symm :premises (@p42)) % 2.02/2.29 (step @p44 :rule instantiate :premises (@p3) :args ((@list @t22 tptp.c))) % 2.02/2.29 (step @p45 :rule symm :premises (@p44)) % 2.02/2.29 (step @p46 :rule cong :premises (@p45 @p45) :args (@t29)) % 2.02/2.29 (step @p47 :rule instantiate :premises (@p15) :args ((@list @t29 @t30 @t22))) % 2.02/2.29 (step @p48 :rule symm :premises (@p47)) % 2.02/2.29 (step @p49 :rule instantiate :premises (@p22) :args ((@list tptp.c @t22 tptp.c))) % 2.02/2.29 (step @p50 :rule instantiate :premises (@p3) :args (@t31)) % 2.02/2.29 (step @p51 :rule symm :premises (@p50)) % 2.02/2.29 (step @p52 :rule trans :premises (@p51 @p49)) % 2.02/2.29 (step @p53 :rule refl :args (@t30)) % 2.02/2.29 (step @p54 :rule cong :premises (@p53 @p52) :args (@t33)) % 2.02/2.29 (step @p55 :rule instantiate :premises (@p4) :args ((@list @t32 @t30))) % 2.02/2.29 (step @p56 :rule instantiate :premises (@p3) :args ((@list tptp.a @t20))) % 2.02/2.29 (step @p57 :rule instantiate :premises (@p26) :args ((@list @t21))) % 2.02/2.29 (step @p58 :rule symm :premises (@p57)) % 2.02/2.29 (step @p59 :rule trans :premises (@p58 @p56)) % 2.02/2.29 (step @p60 :rule refl :args (@t32)) % 2.02/2.29 (step @p61 :rule cong :premises (@p60 @p59) :args (@t34)) % 2.02/2.29 (step @p62 :rule trans :premises (@p61 @p55 @p54)) % 2.02/2.29 (step @p63 :rule refl :args (@t29)) % 2.02/2.29 (step @p64 :rule cong :premises (@p63 @p62) :args (@t35)) % 2.02/2.29 (step @p65 :rule trans :premises (@p64 @p48 @p46 @p43)) % 2.02/2.29 (step @p66 :rule symm :premises (@p36)) % 2.02/2.29 (step @p67 :rule trans :premises (@p57 @p18 @p66)) % 2.02/2.29 (step @p68 :rule instantiate :premises (@p15) :args ((@list @t21 @t32 @t21))) % 2.02/2.29 (step @p69 :rule symm :premises (@p68)) % 2.02/2.29 (step @p70 :rule trans :premises (@p69 @p67)) % 2.02/2.29 (step @p71 :rule cong :premises (@p70 @p65) :args (@t37)) % 2.02/2.29 (step @p72 :rule instantiate :premises (@p11) :args ((@list @t34 @t37 tptp.c))) % 2.02/2.29 (step @p73 :rule symm :premises (@p72)) % 2.02/2.29 (step @p74 :rule symm :premises (@p64)) % 2.02/2.29 (step @p75 :rule symm :premises (@p46)) % 2.02/2.29 (step @p76 :rule trans :premises (@p75 @p47 @p74)) % 2.02/2.29 (step @p77 :rule refl :args (@t36)) % 2.02/2.29 (step @p78 :rule cong :premises (@p77 @p76) :args (@t38)) % 2.02/2.29 (step @p79 :rule symm :premises (@p71)) % 2.02/2.29 (step @p80 :rule trans :premises (@p40 @p79)) % 2.02/2.29 (step @p81 :rule cong :premises (@p30 @p80) :args ((tptp.join tptp.c @t27))) % 2.02/2.29 (step @p82 :rule instantiate :premises (@p4) :args ((@list @t27 tptp.c))) % 2.02/2.29 (step @p83 :rule instantiate :premises (@p22) :args ((@list @t22 tptp.c @t24))) % 2.02/2.29 (step @p84 :rule trans :premises (@p83 @p82 @p81)) % 2.02/2.29 (step @p85 :rule instantiate :premises (@p4) :args ((@list @t37 @t34))) % 2.02/2.29 (step @p86 :rule instantiate :premises (@p22) :args ((@list @t21 @t34 @t29))) % 2.02/2.29 (step @p87 :rule symm :premises (@p61)) % 2.02/2.29 (step @p88 :rule instantiate :premises (@p11) :args ((@list tptp.a @t42 @t41))) % 2.02/2.29 (step @p89 :rule symm :premises (@p88)) % 2.02/2.29 (step @p90 :rule symm :premises (@p55)) % 2.02/2.29 (step @p91 :rule symm :premises (@p49)) % 2.02/2.29 (step @p92 :rule instantiate :premises (@p4) :args ((@list @t29 @t22))) % 2.02/2.29 (step @p93 :rule symm :premises (@p92)) % 2.02/2.29 (step @p94 :rule trans :premises (@p93 @p91 @p50)) % 2.02/2.29 (step @p95 :rule cong :premises (@p53 @p94) :args (@t43)) % 2.02/2.29 (step @p96 :rule trans :premises (@p95 @p90)) % 2.02/2.29 (step @p97 :rule instantiate :premises (@p15) :args ((@list @t33 tptp.b tptp.a))) % 2.02/2.29 (step @p98 :rule symm :premises (@p97)) % 2.02/2.29 (step @p99 :rule instantiate :premises (@p22) :args ((@list @t20 tptp.a tptp.b))) % 2.02/2.29 (step @p100 :rule instantiate :premises (@p26) :args (@t44)) % 2.02/2.29 (step @p101 :rule symm :premises (@p100)) % 2.02/2.29 (step @p102 :rule trans :premises (@p101 @p99)) % 2.02/2.29 (step @p103 :rule refl :args (tptp.b)) % 2.02/2.29 (step @p104 :rule cong :premises (@p103 @p102) :args (@t46)) % 2.02/2.29 (step @p105 :rule cong :premises (@p103 @p100) :args (@t47)) % 2.02/2.29 (step @p106 :rule instantiate :premises (@p4) :args (@t31)) % 2.02/2.29 (step @p107 :rule eq-symm :args (@t2 @t1)) % 2.02/2.29 (step @p108 :rule cong :premises (@p107) :args (@t4)) % 2.02/2.29 (step @p109 :rule eq_resolve :premises (@p1 @p108)) % 2.02/2.29 (step @p110 :rule instantiate :premises (@p109) :args ((@list @t39))) % 2.02/2.29 (step @p111 :rule symm :premises (@p110)) % 2.02/2.29 (step @p112 :rule trans :premises (@p111 @p106 @p105 @p104)) % 2.02/2.29 (step @p113 :rule refl :args (@t33)) % 2.02/2.29 (step @p114 :rule cong :premises (@p113 @p112) :args (@t48)) % 2.02/2.29 (step @p115 :rule trans :premises (@p114 @p98 @p90)) % 2.02/2.29 (step @p116 :rule refl :args (@t41)) % 2.02/2.29 (step @p117 :rule cong :premises (@p116 @p115) :args ((tptp.join @t41 @t48))) % 2.02/2.29 (step @p118 :rule instantiate :premises (@p4) :args ((@list @t41 @t48))) % 2.02/2.29 (step @p119 :rule symm :premises (@p118)) % 2.02/2.29 (step @p120 :rule instantiate :premises (@p3) :args ((@list @t40 tptp.b))) % 2.02/2.29 (step @p121 :rule instantiate :premises (@p11) :args (@t49)) % 2.02/2.29 (step @p122 :rule trans :premises (@p121 @p120)) % 2.02/2.29 (step @p123 :rule symm :premises (@p114)) % 2.02/2.29 (step @p124 :rule trans :premises (@p97 @p123)) % 2.02/2.29 (step @p125 :rule instantiate :premises (@p15) :args ((@list @t24 tptp.b @t20))) % 2.02/2.29 (step @p126 :rule symm :premises (@p125)) % 2.02/2.29 (step @p127 :rule instantiate :premises (@p3) :args ((@list tptp.b tptp.c))) % 2.02/2.29 (step @p128 :rule symm :premises (@p127)) % 2.02/2.29 (step @p129 :rule cong :premises (@p128 @p128) :args (@t51)) % 2.02/2.29 (step @p130 :rule trans :premises (@p129 @p28 @p23)) % 2.02/2.29 (step @p131 :rule cong :premises (@p103 @p130) :args ((tptp.join tptp.b @t51))) % 2.02/2.29 (step @p132 :rule instantiate :premises (@p4) :args ((@list @t51 tptp.b))) % 2.02/2.29 (step @p133 :rule instantiate :premises (@p22) :args ((@list tptp.c tptp.b tptp.c))) % 2.02/2.29 (step @p134 :rule trans :premises (@p133 @p132 @p131)) % 2.02/2.29 (step @p135 :rule cong :premises (@p35 @p134) :args (@t52)) % 2.02/2.29 (step @p136 :rule trans :premises (@p135 @p126 @p58 @p56)) % 2.02/2.29 (step @p137 :rule cong :premises (@p50 @p136) :args (@t53)) % 2.02/2.29 (step @p138 :rule trans :premises (@p137 @p55)) % 2.02/2.29 (step @p139 :rule trans :premises (@p138 @p124)) % 2.02/2.29 (step @p140 :rule cong :premises (@p139 @p122) :args ((tptp.join @t53 tptp.b))) % 2.02/2.29 (step @p141 :rule instantiate :premises (@p22) :args ((@list tptp.a tptp.b @t24))) % 2.02/2.29 (step @p142 :rule trans :premises (@p141 @p140 @p119 @p117)) % 2.02/2.29 (step @p143 :rule instantiate :premises (@p4) :args ((@list @t42 tptp.a))) % 2.02/2.29 (step @p144 :rule instantiate :premises (@p22) :args ((@list tptp.b tptp.a @t20))) % 2.02/2.29 (step @p145 :rule trans :premises (@p144 @p143)) % 2.02/2.29 (step @p146 :rule cong :premises (@p145 @p142) :args (@t22)) % 2.02/2.29 (step @p147 :rule cong :premises (@p146 @p96) :args ((tptp.meet @t22 @t43))) % 2.02/2.29 (step @p148 :rule instantiate :premises (@p15) :args ((@list @t22 @t30 @t29))) % 2.02/2.29 (step @p149 :rule trans :premises (@p148 @p147 @p89 @p87 @p86 @p85)) % 2.02/2.29 (step @p150 :rule cong :premises (@p149 @p84) :args (@t23)) % 2.02/2.29 (step @p151 :rule cong :premises (@p150 @p78) :args ((tptp.meet @t23 @t38))) % 2.02/2.29 (step @p152 :rule instantiate :premises (@p15) :args ((@list @t23 @t36 @t23))) % 2.02/2.29 (step @p153 :rule trans :premises (@p152 @p151 @p73 @p71 @p41 @p39)) % 2.02/2.29 (step @p154 :rule symm :premises (@p56)) % 2.02/2.29 (step @p155 :rule instantiate :premises (@p11) :args ((@list @t57 tptp.a @t54))) % 2.02/2.29 (step @p156 :rule symm :premises (@p155)) % 2.02/2.29 (step @p157 :rule instantiate :premises (@p22) :args ((@list tptp.b tptp.a tptp.b))) % 2.02/2.29 (step @p158 :rule symm :premises (@p157)) % 2.02/2.29 (step @p159 :rule instantiate :premises (@p4) :args ((@list @t54 tptp.a))) % 2.02/2.29 (step @p160 :rule symm :premises (@p159)) % 2.02/2.29 (step @p161 :rule cong :premises (@p50 @p50) :args (@t58)) % 2.02/2.29 (step @p162 :rule instantiate :premises (@p26) :args ((@list @t22))) % 2.02/2.29 (step @p163 :rule trans :premises (@p91 @p162 @p161)) % 2.02/2.29 (step @p164 :rule refl :args (tptp.a)) % 2.02/2.29 (step @p165 :rule cong :premises (@p164 @p163) :args (@t56)) % 2.02/2.29 (step @p166 :rule instantiate :premises (@p22) :args ((@list @t29 @t56 @t46))) % 2.02/2.29 (step @p167 :rule symm :premises (@p166)) % 2.02/2.29 (step @p168 :rule trans :premises (@p167 @p165 @p160 @p158)) % 2.02/2.29 (step @p169 :rule cong :premises (@p164 @p168) :args (@t61)) % 2.02/2.29 (step @p170 :rule trans :premises (@p169 @p101)) % 2.02/2.29 (step @p171 :rule trans :premises (@p169 @p101 @p157)) % 2.02/2.29 (step @p172 :rule instantiate :premises (@p15) :args (@t49)) % 2.02/2.29 (step @p173 :rule symm :premises (@p172)) % 2.02/2.29 (step @p174 :rule instantiate :premises (@p3) :args ((@list tptp.a @t46))) % 2.02/2.29 (step @p175 :rule symm :premises (@p174)) % 2.02/2.29 (step @p176 :rule cong :premises (@p105 @p101) :args ((tptp.meet @t47 @t45))) % 2.02/2.29 (step @p177 :rule trans :premises (@p165 @p160 @p158 @p100)) % 2.02/2.29 (step @p178 :rule symm :premises (@p105)) % 2.02/2.29 (step @p179 :rule cong :premises (@p178 @p177) :args (@t59)) % 2.02/2.29 (step @p180 :rule trans :premises (@p179 @p176 @p175 @p173)) % 2.02/2.29 (step @p181 :rule refl :args (@t57)) % 2.02/2.29 (step @p182 :rule cong :premises (@p181 @p180) :args (@t60)) % 2.02/2.29 (step @p183 :rule cong :premises (@p182 @p171) :args (@t62)) % 2.02/2.29 (step @p184 :rule instantiate :premises (@p15) :args ((@list @t60 tptp.a @t56))) % 2.02/2.29 (step @p185 :rule symm :premises (@p182)) % 2.02/2.29 (step @p186 :rule trans :premises (@p185 @p184 @p183)) % 2.02/2.29 (step @p187 :rule trans :premises (@p182 @p186)) % 2.02/2.29 (step @p188 :rule cong :premises (@p187 @p170) :args (@t62)) % 2.02/2.29 (step @p189 :rule symm :premises (@p179)) % 2.02/2.29 (step @p190 :rule symm :premises (@p176)) % 2.02/2.29 (step @p191 :rule instantiate :premises (@p109) :args (@t44)) % 2.02/2.29 (step @p192 :rule symm :premises (@p191)) % 2.02/2.29 (step @p193 :rule trans :premises (@p192 @p172 @p174 @p190 @p189)) % 2.02/2.29 (step @p194 :rule symm :premises (@p165)) % 2.02/2.29 (step @p195 :rule trans :premises (@p157 @p159 @p194)) % 2.02/2.29 (step @p196 :rule cong :premises (@p63 @p195) :args (@t63)) % 2.02/2.29 (step @p197 :rule cong :premises (@p196 @p193) :args ((tptp.join @t63 @t64))) % 2.02/2.29 (step @p198 :rule instantiate :premises (@p4) :args ((@list @t64 @t63))) % 2.02/2.29 (step @p199 :rule instantiate :premises (@p15) :args ((@list @t29 tptp.a @t22))) % 2.02/2.29 (step @p200 :rule symm :premises (@p199)) % 2.02/2.29 (step @p201 :rule trans :premises (@p196 @p200 @p46 @p43)) % 2.02/2.29 (step @p202 :rule symm :premises (@p201)) % 2.02/2.29 (step @p203 :rule refl :args (@t64)) % 2.02/2.29 (step @p204 :rule cong :premises (@p203 @p202) :args (@t65)) % 2.02/2.29 (step @p205 :rule trans :premises (@p204 @p198 @p197 @p184 @p188 @p156)) % 2.02/2.29 (step @p206 :rule instantiate :premises (@p15) :args ((@list @t20 @t23 @t24))) % 2.02/2.29 (step @p207 :rule symm :premises (@p206)) % 2.02/2.29 (step @p208 :rule instantiate :premises (@p4) :args ((@list @t24 @t20))) % 2.02/2.29 (step @p209 :rule trans :premises (@p23 @p208)) % 2.02/2.29 (step @p210 :rule cong :premises (@p38 @p209) :args (@t66)) % 2.02/2.29 (step @p211 :rule eq-symm :args (@t66 @t67)) % 2.02/2.29 (step @p212 :rule refl :args (@t11)) % 2.02/2.29 (step @p213 :rule cong :premises (@p212 @p211) :args ((=> @t11 @t68))) % 2.02/2.29 (assume-push @p263 @t11) % 2.02/2.29 (step @p215 :rule instantiate :premises (@p4) :args ((@list @t23 @t20))) % 2.02/2.29 (step-pop @p264 :rule scope :premises (@p215)) % 2.02/2.29 (step @p216 :rule process_scope :premises (@p264) :args (@t68)) % 2.02/2.29 (step @p218 :rule eq_resolve :premises (@p216 @p213)) % 2.02/2.29 (step @p219 :rule implies_elim :premises (@p218)) % 2.02/2.29 (step @p220 :rule chain_m_resolution :premises (@p219 @p4) :args ((= @t67 @t66) (@list false) (@list @t11))) % 2.02/2.29 (step @p221 :rule trans :premises (@p220 @p210)) % 2.02/2.29 (step @p222 :rule instantiate :premises (@p22) :args ((@list tptp.c tptp.b @t29))) % 2.02/2.29 (step @p223 :rule symm :premises (@p222)) % 2.02/2.29 (step @p224 :rule instantiate :premises (@p4) :args ((@list (tptp.join @t50 (tptp.meet @t29 tptp.b)) tptp.b))) % 2.02/2.29 (step @p225 :rule symm :premises (@p224)) % 2.02/2.29 (step @p226 :rule instantiate :premises (@p22) :args (@t49)) % 2.02/2.29 (step @p227 :rule symm :premises (@p226)) % 2.02/2.29 (step @p228 :rule instantiate :premises (@p4) :args ((@list @t58 tptp.b))) % 2.02/2.29 (step @p229 :rule symm :premises (@p228)) % 2.02/2.29 (step @p230 :rule trans :premises (@p91 @p162)) % 2.02/2.29 (step @p231 :rule cong :premises (@p103 @p230) :args (@t69)) % 2.02/2.29 (step @p232 :rule trans :premises (@p231 @p229 @p227)) % 2.02/2.29 (step @p233 :rule cong :premises (@p63 @p232) :args ((tptp.meet @t29 @t69))) % 2.02/2.29 (step @p234 :rule instantiate :premises (@p15) :args ((@list @t29 tptp.b @t22))) % 2.02/2.29 (step @p235 :rule trans :premises (@p42 @p75 @p234 @p233)) % 2.02/2.29 (step @p236 :rule cong :premises (@p127 @p235) :args (@t67)) % 2.02/2.29 (step @p237 :rule cong :premises (@p103 @p236) :args (@t70)) % 2.02/2.29 (step @p238 :rule trans :premises (@p237 @p225 @p223)) % 2.02/2.29 (step @p239 :rule instantiate :premises (@p22) :args ((@list tptp.b tptp.c @t22))) % 2.02/2.29 (step @p240 :rule symm :premises (@p239)) % 2.02/2.29 (step @p241 :rule instantiate :premises (@p4) :args ((@list @t67 tptp.c))) % 2.02/2.29 (step @p242 :rule symm :premises (@p241)) % 2.02/2.29 (step @p243 :rule trans :premises (@p242 @p240)) % 2.02/2.29 (step @p244 :rule cong :premises (@p243 @p238) :args (@t71)) % 2.02/2.29 (step @p245 :rule trans :premises (@p244 @p128)) % 2.02/2.29 (step @p246 :rule cong :premises (@p245 @p221) :args ((tptp.meet @t71 @t67))) % 2.02/2.29 (step @p247 :rule instantiate :premises (@p11) :args ((@list tptp.c @t67 tptp.b))) % 2.02/2.29 (step @p248 :rule trans :premises (@p247 @p246 @p207)) % 2.02/2.29 (step @p249 :rule cong :premises (@p248 @p205) :args (@t72)) % 2.02/2.29 (step @p250 :rule trans :premises (@p249 @p154 @p57)) % 2.02/2.29 (step @p251 :rule trans :premises (@p250 @p58)) % 2.02/2.29 (step @p252 :rule cong :premises (@p251 @p153) :args (@t73)) % 2.02/2.29 (step @p253 :rule trans :premises (@p252 @p17)) % 2.02/2.29 (step @p254 :rule cong :premises (@p38 @p253) :args (@t74)) % 2.02/2.29 (step @p255 :rule trans :premises (@p254 @p12)) % 2.02/2.29 (step @p256 :rule false_elim :premises (@p255)) % 2.02/2.29 (assume-push @p265 @t75) % 2.02/2.29 (step @p258 :rule instantiate :premises (@p11) :args ((@list @t20 @t23 @t64))) % 2.02/2.29 (step-pop @p266 :rule scope :premises (@p258)) % 2.02/2.29 (step @p259 :rule process_scope :premises (@p266) :args (@t74)) % 2.02/2.29 (step @p261 :rule implies_elim :premises (@p259)) % 2.02/2.29 (step @p262 false :rule chain_m_resolution :premises (@p261 @p256 @p11) :args (false (@list true false) (@list @t74 @t75))) % 2.02/2.29 ) % 2.02/2.29 % SZS output end Proof % 2.02/2.29 % cvc5 exiting %------------------------------------------------------------------------------