%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT253-1 : 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 08:29:59 AM UTC 2026 % Result : Unsatisfiable 27.84s 28.03s % Output : Proof 27.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : LAT253-1 : 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 01:06:30 EDT 2026 % 0.06/0.25 % CPUTime : % 0.06/0.33 %----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... % 15.11/15.38 --- Run --no-e-matching --full-saturate-quant at 6... % 21.23/21.40 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.22/27.42 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.84/28.03 % SZS status Unsatisfiable % 27.84/28.03 % SZS output start Proof % 27.84/28.03 ( % 27.84/28.03 (declare-sort $$unsorted 0) % 27.84/28.03 (declare-const tptp.b $$unsorted) % 27.84/28.03 (declare-const tptp.a $$unsorted) % 27.84/28.03 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 27.84/28.03 (declare-const tptp.one $$unsorted) % 27.84/28.03 (declare-const tptp.zero $$unsorted) % 27.84/28.03 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 27.84/28.03 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 27.84/28.03 (define @t1 () (@var "X" $$unsorted)) % 27.84/28.03 (define @t2 () (@list @t1)) % 27.84/28.03 (define @t3 () (tptp.join @t1 @t1)) % 27.84/28.03 (define @t4 () (forall @t2 (= @t3 @t1))) % 27.84/28.03 (define @t5 () (@var "Y" $$unsorted)) % 27.84/28.03 (define @t6 () (tptp.join @t1 @t5)) % 27.84/28.03 (define @t7 () (tptp.meet @t1 @t6)) % 27.84/28.03 (define @t8 () (@list @t1 @t5)) % 27.84/28.03 (define @t9 () (forall @t8 (= @t7 @t1))) % 27.84/28.03 (define @t10 () (tptp.meet @t1 @t5)) % 27.84/28.03 (define @t11 () (tptp.join @t1 @t10)) % 27.84/28.03 (define @t12 () (forall @t8 (= @t11 @t1))) % 27.84/28.03 (define @t13 () (@var "Z" $$unsorted)) % 27.84/28.03 (define @t14 () (@list @t1 @t5 @t13)) % 27.84/28.03 (define @t15 () (tptp.complement @t1)) % 27.84/28.03 (define @t16 () (tptp.join @t1 @t15)) % 27.84/28.03 (define @t17 () (forall @t2 (= @t16 tptp.one))) % 27.84/28.03 (define @t18 () (tptp.meet @t1 @t15)) % 27.84/28.03 (define @t19 () (forall @t2 (= @t18 tptp.zero))) % 27.84/28.03 (define @t20 () (not (= @t6 tptp.one))) % 27.84/28.03 (define @t21 () (not (= @t10 tptp.zero))) % 27.84/28.03 (define @t22 () (or @t21 @t20 (= @t15 @t5))) % 27.84/28.03 (define @t23 () (forall @t8 @t22)) % 27.84/28.03 (define @t24 () (@var "U" $$unsorted)) % 27.84/28.03 (define @t25 () (tptp.meet tptp.b tptp.a)) % 27.84/28.03 (define @t26 () (tptp.complement tptp.a)) % 27.84/28.03 (define @t27 () (tptp.complement tptp.b)) % 27.84/28.03 (define @t28 () (tptp.join @t27 @t26)) % 27.84/28.03 (define @t29 () (= @t28 @t26)) % 27.84/28.03 (define @t30 () (tptp.join tptp.a @t28)) % 27.84/28.03 (define @t31 () (not (= @t30 tptp.one))) % 27.84/28.03 (define @t32 () (tptp.meet tptp.a @t28)) % 27.84/28.03 (define @t33 () (not (= @t32 tptp.zero))) % 27.84/28.03 (define @t34 () (or @t33 @t31 @t29)) % 27.84/28.03 (define @t35 () (forall @t8 (or @t21 @t20 (= @t5 @t15)))) % 27.84/28.03 (define @t36 () (= @t26 @t28)) % 27.84/28.03 (define @t37 () (= tptp.one @t30)) % 27.84/28.03 (define @t38 () (not @t37)) % 27.84/28.03 (define @t39 () (= tptp.zero @t32)) % 27.84/28.03 (define @t40 () (not @t39)) % 27.84/28.03 (define @t41 () (or @t40 @t38 @t36)) % 27.84/28.03 (define @t42 () (@list tptp.a)) % 27.84/28.03 (define @t43 () (tptp.join tptp.a @t26)) % 27.84/28.03 (define @t44 () (tptp.meet @t43 @t27)) % 27.84/28.03 (define @t45 () (@list tptp.a @t26)) % 27.84/28.03 (define @t46 () (tptp.join @t26 tptp.zero)) % 27.84/28.03 (define @t47 () (tptp.meet tptp.a @t26)) % 27.84/28.03 (define @t48 () (tptp.join @t47 @t26)) % 27.84/28.03 (define @t49 () (@list tptp.b)) % 27.84/28.03 (define @t50 () (@list tptp.b tptp.one)) % 27.84/28.03 (define @t51 () (@list tptp.b @t27)) % 27.84/28.03 (define @t52 () (tptp.meet tptp.one tptp.b)) % 27.84/28.03 (define @t53 () (tptp.join tptp.a tptp.b)) % 27.84/28.03 (define @t54 () (tptp.join @t25 tptp.b)) % 27.84/28.03 (define @t55 () (@list tptp.b tptp.a)) % 27.84/28.03 (define @t56 () (tptp.meet tptp.b @t26)) % 27.84/28.03 (define @t57 () (tptp.meet tptp.b (tptp.join tptp.b @t56))) % 27.84/28.03 (define @t58 () (tptp.join @t26 @t57)) % 27.84/28.03 (define @t59 () (tptp.meet @t27 @t58)) % 27.84/28.03 (define @t60 () (tptp.join @t26 @t59)) % 27.84/28.03 (assume @p1 (forall @t2 (= (tptp.meet @t1 @t1) @t1))) % 27.84/28.03 (assume @p2 @t4) % 27.84/28.03 (assume @p3 @t9) % 27.84/28.03 (assume @p4 @t12) % 27.84/28.03 (assume @p5 (forall @t8 (= @t10 (tptp.meet @t5 @t1)))) % 27.84/28.03 (assume @p6 (forall @t8 (= @t6 (tptp.join @t5 @t1)))) % 27.84/28.03 (assume @p7 (forall @t14 (= (tptp.meet @t10 @t13) (tptp.meet @t1 (tptp.meet @t5 @t13))))) % 27.84/28.03 (assume @p8 (forall @t14 (= (tptp.join @t6 @t13) (tptp.join @t1 (tptp.join @t5 @t13))))) % 27.84/28.03 (assume @p9 @t17) % 27.84/28.03 (assume @p10 @t19) % 27.84/28.03 (assume @p11 @t23) % 27.84/28.03 (assume @p12 (forall (@list @t1 @t5 @t13 @t24) (= (tptp.meet @t1 (tptp.join @t5 (tptp.meet @t13 (tptp.join @t5 @t24)))) (tptp.meet @t1 (tptp.join @t5 (tptp.meet @t13 (tptp.join @t24 @t10))))))) % 27.84/28.03 (assume @p13 (= @t25 tptp.a)) % 27.84/28.03 (assume @p14 (not @t29)) % 27.84/28.03 (step @p15 :rule symm :premises (@p14)) % 27.84/28.03 (step @p16 :rule eq-symm :args (@t15 @t5)) % 27.84/28.03 (step @p17 :rule refl :args (@t20)) % 27.84/28.03 (step @p18 :rule refl :args (@t21)) % 27.84/28.03 (step @p19 :rule nary_cong :premises (@p18 @p17 @p16) :args (@t22)) % 27.84/28.03 (step @p20 :rule cong :premises (@p19) :args (@t23)) % 27.84/28.03 (step @p21 :rule eq_resolve :premises (@p11 @p20)) % 27.84/28.03 (step @p22 :rule eq-symm :args (@t28 @t26)) % 27.84/28.03 (step @p23 :rule eq-symm :args (@t30 tptp.one)) % 27.84/28.03 (step @p24 :rule cong :premises (@p23) :args (@t31)) % 27.84/28.03 (step @p25 :rule eq-symm :args (@t32 tptp.zero)) % 27.84/28.03 (step @p26 :rule cong :premises (@p25) :args (@t33)) % 27.84/28.03 (step @p27 :rule nary_cong :premises (@p26 @p24 @p22) :args (@t34)) % 27.84/28.03 (step @p28 :rule refl :args (@t35)) % 27.84/28.03 (step @p29 :rule cong :premises (@p28 @p27) :args ((=> @t35 @t34))) % 27.84/28.03 (assume-push @p164 @t35) % 27.84/28.03 (step @p31 :rule instantiate :premises (@p21) :args ((@list tptp.a @t28))) % 27.84/28.03 (step-pop @p165 :rule scope :premises (@p31)) % 27.84/28.03 (step @p32 :rule process_scope :premises (@p165) :args (@t34)) % 27.84/28.03 (step @p34 :rule eq_resolve :premises (@p32 @p29)) % 27.84/28.03 (step @p35 :rule implies_elim :premises (@p34)) % 27.84/28.03 (step @p36 :rule chain_m_resolution :premises (@p35 @p21) :args (@t41 (@list false) (@list @t35))) % 27.84/28.03 (step @p37 :rule instantiate :premises (@p6) :args ((@list @t27 @t26))) % 27.84/28.03 (step @p38 :rule symm :premises (@p37)) % 27.84/28.03 (step @p39 :rule refl :args (tptp.a)) % 27.84/28.03 (step @p40 :rule cong :premises (@p39 @p38) :args ((tptp.join tptp.a (tptp.join @t26 @t27)))) % 27.84/28.03 (step @p41 :rule instantiate :premises (@p8) :args ((@list tptp.a @t26 @t27))) % 27.84/28.03 (step @p42 :rule eq-symm :args (@t7 @t1)) % 27.84/28.03 (step @p43 :rule cong :premises (@p42) :args (@t9)) % 27.84/28.03 (step @p44 :rule eq_resolve :premises (@p3 @p43)) % 27.84/28.03 (step @p45 :rule instantiate :premises (@p44) :args ((@list @t27 (tptp.complement @t27)))) % 27.84/28.03 (step @p46 :rule symm :premises (@p45)) % 27.84/28.03 (step @p47 :rule eq-symm :args (@t16 tptp.one)) % 27.84/28.03 (step @p48 :rule cong :premises (@p47) :args (@t17)) % 27.84/28.03 (step @p49 :rule eq_resolve :premises (@p9 @p48)) % 27.84/28.03 (step @p50 :rule instantiate :premises (@p49) :args ((@list @t27))) % 27.84/28.03 (step @p51 :rule refl :args (@t27)) % 27.84/28.03 (step @p52 :rule cong :premises (@p51 @p50) :args ((tptp.meet @t27 tptp.one))) % 27.84/28.03 (step @p53 :rule instantiate :premises (@p5) :args ((@list @t27 tptp.one))) % 27.84/28.03 (step @p54 :rule symm :premises (@p53)) % 27.84/28.03 (step @p55 :rule instantiate :premises (@p49) :args (@t42)) % 27.84/28.03 (step @p56 :rule symm :premises (@p55)) % 27.84/28.03 (step @p57 :rule cong :premises (@p56 @p51) :args (@t44)) % 27.84/28.03 (step @p58 :rule trans :premises (@p57 @p54 @p52 @p46)) % 27.84/28.03 (step @p59 :rule refl :args (@t43)) % 27.84/28.03 (step @p60 :rule cong :premises (@p59 @p58) :args ((tptp.join @t43 @t44))) % 27.84/28.03 (step @p61 :rule eq-symm :args (@t11 @t1)) % 27.84/28.03 (step @p62 :rule cong :premises (@p61) :args (@t12)) % 27.84/28.03 (step @p63 :rule eq_resolve :premises (@p4 @p62)) % 27.84/28.03 (step @p64 :rule instantiate :premises (@p63) :args ((@list @t43 @t27))) % 27.84/28.03 (step @p65 :rule trans :premises (@p55 @p64 @p60 @p41 @p40)) % 27.84/28.03 (step @p66 :rule instantiate :premises (@p63) :args ((@list @t26 tptp.a))) % 27.84/28.03 (step @p67 :rule symm :premises (@p66)) % 27.84/28.03 (step @p68 :rule instantiate :premises (@p5) :args (@t45)) % 27.84/28.03 (step @p69 :rule eq-symm :args (@t18 tptp.zero)) % 27.84/28.03 (step @p70 :rule cong :premises (@p69) :args (@t19)) % 27.84/28.03 (step @p71 :rule eq_resolve :premises (@p10 @p70)) % 27.84/28.03 (step @p72 :rule instantiate :premises (@p71) :args (@t42)) % 27.84/28.03 (step @p73 :rule trans :premises (@p72 @p68)) % 27.84/28.03 (step @p74 :rule refl :args (@t26)) % 27.84/28.03 (step @p75 :rule cong :premises (@p74 @p73) :args (@t46)) % 27.84/28.03 (step @p76 :rule instantiate :premises (@p6) :args ((@list tptp.zero @t26))) % 27.84/28.03 (step @p77 :rule symm :premises (@p72)) % 27.84/28.03 (step @p78 :rule cong :premises (@p77 @p74) :args (@t48)) % 27.84/28.03 (step @p79 :rule trans :premises (@p78 @p76 @p75 @p67)) % 27.84/28.03 (step @p80 :rule cong :premises (@p79 @p51) :args ((tptp.join @t48 @t27))) % 27.84/28.03 (step @p81 :rule instantiate :premises (@p49) :args (@t49)) % 27.84/28.03 (step @p82 :rule symm :premises (@p81)) % 27.84/28.03 (step @p83 :rule eq-symm :args (@t3 @t1)) % 27.84/28.03 (step @p84 :rule cong :premises (@p83) :args (@t4)) % 27.84/28.03 (step @p85 :rule eq_resolve :premises (@p2 @p84)) % 27.84/28.03 (step @p86 :rule instantiate :premises (@p85) :args (@t49)) % 27.84/28.03 (step @p87 :rule symm :premises (@p86)) % 27.84/28.03 (step @p88 :rule cong :premises (@p87 @p51) :args ((tptp.join (tptp.join tptp.b tptp.b) @t27))) % 27.84/28.03 (step @p89 :rule instantiate :premises (@p8) :args ((@list tptp.b tptp.b @t27))) % 27.84/28.03 (step @p90 :rule symm :premises (@p89)) % 27.84/28.03 (step @p91 :rule refl :args (tptp.b)) % 27.84/28.03 (step @p92 :rule cong :premises (@p91 @p81) :args ((tptp.join tptp.b tptp.one))) % 27.84/28.03 (step @p93 :rule instantiate :premises (@p6) :args (@t50)) % 27.84/28.03 (step @p94 :rule symm :premises (@p93)) % 27.84/28.03 (step @p95 :rule instantiate :premises (@p44) :args (@t51)) % 27.84/28.03 (step @p96 :rule symm :premises (@p95)) % 27.84/28.03 (step @p97 :rule cong :premises (@p91 @p81) :args ((tptp.meet tptp.b tptp.one))) % 27.84/28.03 (step @p98 :rule instantiate :premises (@p5) :args (@t50)) % 27.84/28.03 (step @p99 :rule symm :premises (@p98)) % 27.84/28.03 (step @p100 :rule trans :premises (@p99 @p97 @p96)) % 27.84/28.03 (step @p101 :rule instantiate :premises (@p6) :args (@t45)) % 27.84/28.03 (step @p102 :rule symm :premises (@p101)) % 27.84/28.03 (step @p103 :rule trans :premises (@p102 @p56)) % 27.84/28.03 (step @p104 :rule cong :premises (@p103 @p100) :args ((tptp.join (tptp.join @t26 tptp.a) @t52))) % 27.84/28.03 (step @p105 :rule instantiate :premises (@p8) :args ((@list @t26 tptp.a @t52))) % 27.84/28.03 (step @p106 :rule symm :premises (@p105)) % 27.84/28.03 (step @p107 :rule symm :premises (@p100)) % 27.84/28.03 (step @p108 :rule cong :premises (@p39 @p107) :args (@t53)) % 27.84/28.03 (step @p109 :rule cong :premises (@p13 @p91) :args (@t54)) % 27.84/28.03 (step @p110 :rule instantiate :premises (@p6) :args ((@list tptp.b @t25))) % 27.84/28.03 (step @p111 :rule instantiate :premises (@p63) :args (@t55)) % 27.84/28.03 (step @p112 :rule trans :premises (@p111 @p110 @p109 @p108)) % 27.84/28.03 (step @p113 :rule cong :premises (@p74 @p112) :args ((tptp.join @t26 tptp.b))) % 27.84/28.03 (step @p114 :rule instantiate :premises (@p44) :args ((@list tptp.b @t56))) % 27.84/28.03 (step @p115 :rule symm :premises (@p114)) % 27.84/28.03 (step @p116 :rule cong :premises (@p79 @p115) :args ((tptp.join @t48 @t57))) % 27.84/28.03 (step @p117 :rule refl :args (@t57)) % 27.84/28.03 (step @p118 :rule symm :premises (@p79)) % 27.84/28.03 (step @p119 :rule cong :premises (@p118 @p117) :args (@t58)) % 27.84/28.03 (step @p120 :rule trans :premises (@p119 @p116 @p113 @p106 @p104 @p94 @p92 @p90 @p88 @p82)) % 27.84/28.03 (step @p121 :rule cong :premises (@p51 @p120) :args (@t59)) % 27.84/28.03 (step @p122 :rule trans :premises (@p121 @p52 @p46)) % 27.84/28.03 (step @p123 :rule cong :premises (@p118 @p122) :args (@t60)) % 27.84/28.03 (step @p124 :rule trans :premises (@p123 @p80 @p38)) % 27.84/28.03 (step @p125 :rule cong :premises (@p39 @p124) :args ((tptp.meet tptp.a @t60))) % 27.84/28.03 (step @p126 :rule instantiate :premises (@p12) :args ((@list tptp.a @t26 @t27 @t57))) % 27.84/28.03 (step @p127 :rule symm :premises (@p126)) % 27.84/28.03 (step @p128 :rule refl :args (@t47)) % 27.84/28.03 (step @p129 :rule cong :premises (@p114 @p128) :args ((tptp.join tptp.b @t47))) % 27.84/28.03 (step @p130 :rule instantiate :premises (@p6) :args ((@list tptp.b @t47))) % 27.84/28.03 (step @p131 :rule symm :premises (@p130)) % 27.84/28.03 (step @p132 :rule cong :premises (@p72 @p91) :args ((tptp.join tptp.zero tptp.b))) % 27.84/28.03 (step @p133 :rule symm :premises (@p111)) % 27.84/28.03 (step @p134 :rule symm :premises (@p110)) % 27.84/28.03 (step @p135 :rule trans :premises (@p134 @p133)) % 27.84/28.03 (step @p136 :rule refl :args (tptp.zero)) % 27.84/28.03 (step @p137 :rule cong :premises (@p136 @p135) :args ((tptp.join tptp.zero @t54))) % 27.84/28.03 (step @p138 :rule instantiate :premises (@p8) :args ((@list tptp.zero @t25 tptp.b))) % 27.84/28.03 (step @p139 :rule symm :premises (@p13)) % 27.84/28.03 (step @p140 :rule cong :premises (@p136 @p139) :args ((tptp.join tptp.zero tptp.a))) % 27.84/28.03 (step @p141 :rule instantiate :premises (@p6) :args ((@list tptp.a tptp.zero))) % 27.84/28.03 (step @p142 :rule cong :premises (@p39 @p77) :args ((tptp.join tptp.a @t47))) % 27.84/28.03 (step @p143 :rule instantiate :premises (@p63) :args (@t45)) % 27.84/28.03 (step @p144 :rule trans :premises (@p143 @p142 @p141 @p140)) % 27.84/28.03 (step @p145 :rule cong :premises (@p144 @p91) :args (@t53)) % 27.84/28.03 (step @p146 :rule trans :premises (@p111 @p110 @p109 @p145 @p138 @p137 @p132 @p131 @p129)) % 27.84/28.03 (step @p147 :rule cong :premises (@p51 @p146) :args ((tptp.meet @t27 tptp.b))) % 27.84/28.03 (step @p148 :rule instantiate :premises (@p5) :args (@t51)) % 27.84/28.03 (step @p149 :rule instantiate :premises (@p71) :args (@t49)) % 27.84/28.03 (step @p150 :rule trans :premises (@p149 @p148 @p147)) % 27.84/28.03 (step @p151 :rule cong :premises (@p74 @p150) :args (@t46)) % 27.84/28.03 (step @p152 :rule symm :premises (@p75)) % 27.84/28.03 (step @p153 :rule trans :premises (@p66 @p152 @p151)) % 27.84/28.03 (step @p154 :rule instantiate :premises (@p5) :args (@t55)) % 27.84/28.03 (step @p155 :rule symm :premises (@p154)) % 27.84/28.03 (step @p156 :rule trans :premises (@p155 @p13)) % 27.84/28.03 (step @p157 :rule cong :premises (@p156 @p153) :args ((tptp.meet (tptp.meet tptp.a tptp.b) @t26))) % 27.84/28.03 (step @p158 :rule symm :premises (@p156)) % 27.84/28.03 (step @p159 :rule cong :premises (@p158 @p74) :args (@t47)) % 27.84/28.03 (step @p160 :rule trans :premises (@p72 @p159 @p157 @p127 @p125)) % 27.84/28.03 (step @p161 :rule cnf_or_pos :args (@t41)) % 27.84/28.03 (step @p162 :rule reordering :premises (@p161) :args ((or @t36 @t40 @t38 (not @t41)))) % 27.84/28.03 (step @p163 false :rule chain_m_resolution :premises (@p162 @p160 @p65 @p36 @p15) :args (false (@list false false false true) (@list @t39 @t37 @t41 @t36))) % 27.84/28.03 ) % 27.84/28.03 % SZS output end Proof % 27.84/28.04 % cvc5 exiting %------------------------------------------------------------------------------