%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT011-1 : 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 08:29:36 AM UTC 2026 % Result : Unsatisfiable 0.14s 0.37s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : LAT011-1 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.06 % 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 05:43:33 EDT 2026 % 0.07/0.25 % CPUTime : % 0.14/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.14/0.37 % SZS status Unsatisfiable % 0.14/0.37 % SZS output start Proof % 0.14/0.37 ( % 0.14/0.37 (declare-sort $$unsorted 0) % 0.14/0.37 (declare-const tptp.meet2 (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.37 (declare-const tptp.b $$unsorted) % 0.14/0.37 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.37 (declare-const tptp.a $$unsorted) % 0.14/0.37 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.37 (define @t1 () (@var "X" $$unsorted)) % 0.14/0.37 (define @t2 () (@list @t1)) % 0.14/0.37 (define @t3 () (@var "Y" $$unsorted)) % 0.14/0.37 (define @t4 () (tptp.join @t1 @t3)) % 0.14/0.37 (define @t5 () (tptp.meet @t1 @t4)) % 0.14/0.37 (define @t6 () (@list @t1 @t3)) % 0.14/0.37 (define @t7 () (forall @t6 (= @t5 @t1))) % 0.14/0.37 (define @t8 () (tptp.meet @t1 @t3)) % 0.14/0.37 (define @t9 () (tptp.join @t1 @t8)) % 0.14/0.37 (define @t10 () (forall @t6 (= @t9 @t1))) % 0.14/0.37 (define @t11 () (@var "Z" $$unsorted)) % 0.14/0.37 (define @t12 () (@list @t1 @t3 @t11)) % 0.14/0.37 (define @t13 () (tptp.meet2 @t1 @t3)) % 0.14/0.37 (define @t14 () (tptp.meet2 @t1 @t4)) % 0.14/0.37 (define @t15 () (forall @t6 (= @t14 @t1))) % 0.14/0.37 (define @t16 () (tptp.join @t1 @t13)) % 0.14/0.37 (define @t17 () (forall @t6 (= @t16 @t1))) % 0.14/0.37 (define @t18 () (tptp.meet2 tptp.a tptp.b)) % 0.14/0.37 (define @t19 () (tptp.meet tptp.a tptp.b)) % 0.14/0.37 (define @t20 () (= @t19 @t18)) % 0.14/0.37 (define @t21 () (@list tptp.a tptp.b)) % 0.14/0.37 (define @t22 () (@list tptp.b tptp.a)) % 0.14/0.37 (define @t23 () (tptp.join @t18 @t19)) % 0.14/0.37 (define @t24 () (tptp.meet2 tptp.b tptp.a)) % 0.14/0.37 (define @t25 () (@list @t18 @t19)) % 0.14/0.37 (define @t26 () (tptp.meet tptp.b tptp.a)) % 0.14/0.37 (define @t27 () (@list @t23 tptp.a)) % 0.14/0.37 (define @t28 () (tptp.join @t24 @t26)) % 0.14/0.37 (define @t29 () (tptp.join @t24 tptp.b)) % 0.14/0.37 (define @t30 () (tptp.join @t23 tptp.a)) % 0.14/0.37 (define @t31 () (@list @t23 @t30)) % 0.14/0.37 (define @t32 () (tptp.join @t19 @t18)) % 0.14/0.37 (define @t33 () (= tptp.a (tptp.join tptp.a @t19))) % 0.14/0.37 (define @t34 () (= @t19 @t26)) % 0.14/0.37 (define @t35 () (= @t18 @t24)) % 0.14/0.37 (define @t36 () (tptp.join tptp.a @t18)) % 0.14/0.37 (define @t37 () (= tptp.a @t36)) % 0.14/0.37 (define @t38 () (= tptp.b (tptp.join tptp.b @t26))) % 0.14/0.37 (define @t39 () (tptp.join tptp.a @t23)) % 0.14/0.37 (define @t40 () (tptp.join @t36 @t19)) % 0.14/0.37 (define @t41 () (= @t40 @t39)) % 0.14/0.37 (define @t42 () (tptp.join tptp.b @t24)) % 0.14/0.37 (define @t43 () (= tptp.b @t42)) % 0.14/0.37 (define @t44 () (= @t39 @t30)) % 0.14/0.37 (define @t45 () (= @t42 @t29)) % 0.14/0.37 (define @t46 () (= @t23 @t32)) % 0.14/0.37 (define @t47 () (tptp.join tptp.b @t28)) % 0.14/0.37 (define @t48 () (tptp.join @t42 @t26)) % 0.14/0.37 (define @t49 () (= @t48 @t47)) % 0.14/0.37 (define @t50 () (tptp.meet2 @t18 @t23)) % 0.14/0.37 (define @t51 () (= @t18 @t50)) % 0.14/0.37 (define @t52 () (tptp.meet @t19 @t32)) % 0.14/0.37 (define @t53 () (= @t19 @t52)) % 0.14/0.37 (define @t54 () (tptp.meet @t24 @t29)) % 0.14/0.37 (define @t55 () (= @t24 @t54)) % 0.14/0.37 (define @t56 () (tptp.meet @t23 @t30)) % 0.14/0.37 (define @t57 () (= @t23 @t56)) % 0.14/0.37 (define @t58 () (tptp.join @t28 tptp.b)) % 0.14/0.37 (define @t59 () (= @t47 @t58)) % 0.14/0.37 (define @t60 () (tptp.meet2 @t23 @t30)) % 0.14/0.37 (define @t61 () (= @t23 @t60)) % 0.14/0.37 (define @t62 () (tptp.meet2 tptp.b @t23)) % 0.14/0.37 (define @t63 () (= @t50 (tptp.meet2 tptp.a @t62))) % 0.14/0.37 (define @t64 () (= @t54 (tptp.meet @t29 @t24))) % 0.14/0.37 (define @t65 () (= @t56 (tptp.meet @t30 @t23))) % 0.14/0.37 (define @t66 () (tptp.meet tptp.b @t32)) % 0.14/0.37 (define @t67 () (tptp.meet tptp.a @t66)) % 0.14/0.37 (define @t68 () (= @t52 @t67)) % 0.14/0.37 (define @t69 () (= @t62 (tptp.meet2 @t23 tptp.b))) % 0.14/0.37 (define @t70 () (tptp.meet2 @t30 @t23)) % 0.14/0.37 (define @t71 () (= @t60 @t70)) % 0.14/0.37 (define @t72 () (tptp.meet2 @t28 @t58)) % 0.14/0.37 (define @t73 () (= @t28 @t72)) % 0.14/0.37 (define @t74 () (and @t33 @t34 @t35 @t37 @t38 @t41 @t43 @t44 @t45 @t46 @t49 @t51 @t53 @t55 @t57 @t59 @t61 @t63 @t64 @t65 @t68 @t69 @t71 @t73)) % 0.14/0.37 (assume @p1 (forall @t2 (= (tptp.meet @t1 @t1) @t1))) % 0.14/0.37 (assume @p2 (forall @t2 (= (tptp.join @t1 @t1) @t1))) % 0.14/0.37 (assume @p3 @t7) % 0.14/0.37 (assume @p4 @t10) % 0.14/0.37 (assume @p5 (forall @t6 (= @t8 (tptp.meet @t3 @t1)))) % 0.14/0.37 (assume @p6 (forall @t6 (= @t4 (tptp.join @t3 @t1)))) % 0.14/0.37 (assume @p7 (forall @t12 (= (tptp.meet @t8 @t11) (tptp.meet @t1 (tptp.meet @t3 @t11))))) % 0.14/0.37 (assume @p8 (forall @t12 (= (tptp.join @t4 @t11) (tptp.join @t1 (tptp.join @t3 @t11))))) % 0.14/0.37 (assume @p9 (forall @t2 (= (tptp.meet2 @t1 @t1) @t1))) % 0.14/0.37 (assume @p10 (forall @t6 (= @t13 (tptp.meet2 @t3 @t1)))) % 0.14/0.37 (assume @p11 @t15) % 0.14/0.37 (assume @p12 @t17) % 0.14/0.37 (assume @p13 (forall @t12 (= (tptp.meet2 @t13 @t11) (tptp.meet2 @t1 (tptp.meet2 @t3 @t11))))) % 0.14/0.37 (assume @p14 (not @t20)) % 0.14/0.37 (step @p15 :rule eq-symm :args (@t9 @t1)) % 0.14/0.37 (step @p16 :rule cong :premises (@p15) :args (@t10)) % 0.14/0.37 (step @p17 :rule eq_resolve :premises (@p4 @p16)) % 0.14/0.37 (step @p18 :rule instantiate :premises (@p17) :args (@t21)) % 0.14/0.37 (step @p19 :rule instantiate :premises (@p5) :args (@t21)) % 0.14/0.37 (step @p20 :rule instantiate :premises (@p10) :args (@t21)) % 0.14/0.37 (step @p21 :rule eq-symm :args (@t16 @t1)) % 0.14/0.37 (step @p22 :rule cong :premises (@p21) :args (@t17)) % 0.14/0.37 (step @p23 :rule eq_resolve :premises (@p12 @p22)) % 0.14/0.37 (step @p24 :rule instantiate :premises (@p23) :args (@t21)) % 0.14/0.37 (step @p25 :rule instantiate :premises (@p17) :args (@t22)) % 0.14/0.37 (step @p26 :rule instantiate :premises (@p8) :args ((@list tptp.a @t18 @t19))) % 0.14/0.37 (step @p27 :rule instantiate :premises (@p23) :args (@t22)) % 0.14/0.37 (step @p28 :rule instantiate :premises (@p6) :args ((@list tptp.a @t23))) % 0.14/0.37 (step @p29 :rule instantiate :premises (@p6) :args ((@list tptp.b @t24))) % 0.14/0.37 (step @p30 :rule instantiate :premises (@p6) :args (@t25)) % 0.14/0.37 (step @p31 :rule instantiate :premises (@p8) :args ((@list tptp.b @t24 @t26))) % 0.14/0.37 (step @p32 :rule eq-symm :args (@t14 @t1)) % 0.14/0.37 (step @p33 :rule cong :premises (@p32) :args (@t15)) % 0.14/0.37 (step @p34 :rule eq_resolve :premises (@p11 @p33)) % 0.14/0.37 (step @p35 :rule instantiate :premises (@p34) :args (@t25)) % 0.14/0.37 (step @p36 :rule eq-symm :args (@t5 @t1)) % 0.14/0.37 (step @p37 :rule cong :premises (@p36) :args (@t7)) % 0.14/0.37 (step @p38 :rule eq_resolve :premises (@p3 @p37)) % 0.14/0.37 (step @p39 :rule instantiate :premises (@p38) :args ((@list @t19 @t18))) % 0.14/0.37 (step @p40 :rule instantiate :premises (@p38) :args ((@list @t24 tptp.b))) % 0.14/0.37 (step @p41 :rule instantiate :premises (@p38) :args (@t27)) % 0.14/0.37 (step @p42 :rule instantiate :premises (@p6) :args ((@list tptp.b @t28))) % 0.14/0.37 (step @p43 :rule instantiate :premises (@p34) :args (@t27)) % 0.14/0.37 (step @p44 :rule instantiate :premises (@p13) :args ((@list tptp.a tptp.b @t23))) % 0.14/0.37 (step @p45 :rule instantiate :premises (@p5) :args ((@list @t24 @t29))) % 0.14/0.37 (step @p46 :rule instantiate :premises (@p5) :args (@t31)) % 0.14/0.37 (step @p47 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b @t32))) % 0.14/0.37 (step @p48 :rule instantiate :premises (@p10) :args ((@list tptp.b @t23))) % 0.14/0.37 (step @p49 :rule instantiate :premises (@p10) :args (@t31)) % 0.14/0.37 (step @p50 :rule instantiate :premises (@p34) :args ((@list @t28 tptp.b))) % 0.14/0.37 (assume-push @p144 @t33) % 0.14/0.37 (assume-push @p145 @t34) % 0.14/0.37 (assume-push @p146 @t35) % 0.14/0.37 (assume-push @p147 @t37) % 0.14/0.37 (assume-push @p148 @t38) % 0.14/0.37 (assume-push @p149 @t41) % 0.14/0.37 (assume-push @p150 @t43) % 0.14/0.37 (assume-push @p151 @t44) % 0.14/0.37 (assume-push @p152 @t45) % 0.14/0.37 (assume-push @p153 @t46) % 0.14/0.37 (assume-push @p154 @t49) % 0.14/0.37 (assume-push @p155 @t51) % 0.14/0.37 (assume-push @p156 @t53) % 0.14/0.37 (assume-push @p157 @t55) % 0.14/0.37 (assume-push @p158 @t57) % 0.14/0.37 (assume-push @p159 @t59) % 0.14/0.37 (assume-push @p160 @t61) % 0.14/0.37 (assume-push @p161 @t63) % 0.14/0.37 (assume-push @p162 @t64) % 0.14/0.37 (assume-push @p163 @t65) % 0.14/0.37 (assume-push @p164 @t68) % 0.14/0.37 (assume-push @p165 @t69) % 0.14/0.37 (assume-push @p166 @t71) % 0.14/0.37 (assume-push @p167 @t73) % 0.14/0.37 (step @p75 :rule symm :premises (@p35)) % 0.14/0.37 (step @p76 :rule symm :premises (@p44)) % 0.14/0.37 (step @p77 :rule symm :premises (@p48)) % 0.14/0.37 (step @p78 :rule symm :premises (@p25)) % 0.14/0.37 (step @p79 :rule refl :args (@t26)) % 0.14/0.37 (step @p80 :rule symm :premises (@p27)) % 0.14/0.37 (step @p81 :rule cong :premises (@p80 @p79) :args (@t48)) % 0.14/0.37 (step @p82 :rule symm :premises (@p31)) % 0.14/0.37 (step @p83 :rule symm :premises (@p42)) % 0.14/0.37 (step @p84 :rule trans :premises (@p83 @p82 @p81 @p78)) % 0.14/0.37 (step @p85 :rule symm :premises (@p19)) % 0.14/0.37 (step @p86 :rule symm :premises (@p20)) % 0.14/0.37 (step @p87 :rule cong :premises (@p86 @p85) :args (@t28)) % 0.14/0.37 (step @p88 :rule cong :premises (@p87 @p84) :args (@t72)) % 0.14/0.37 (step @p89 :rule symm :premises (@p87)) % 0.14/0.37 (step @p90 :rule trans :premises (@p89 @p50 @p88 @p77)) % 0.14/0.37 (step @p91 :rule symm :premises (@p18)) % 0.14/0.37 (step @p92 :rule refl :args (@t19)) % 0.14/0.37 (step @p93 :rule symm :premises (@p24)) % 0.14/0.37 (step @p94 :rule cong :premises (@p93 @p92) :args (@t40)) % 0.14/0.37 (step @p95 :rule symm :premises (@p26)) % 0.14/0.37 (step @p96 :rule symm :premises (@p28)) % 0.14/0.37 (step @p97 :rule trans :premises (@p96 @p95 @p94 @p91)) % 0.14/0.37 (step @p98 :rule cong :premises (@p97 @p90) :args (@t70)) % 0.14/0.37 (step @p99 :rule symm :premises (@p41)) % 0.14/0.37 (step @p100 :rule symm :premises (@p46)) % 0.14/0.37 (step @p101 :rule symm :premises (@p43)) % 0.14/0.37 (step @p102 :rule symm :premises (@p49)) % 0.14/0.37 (step @p103 :rule symm :premises (@p98)) % 0.14/0.37 (step @p104 :rule symm :premises (@p40)) % 0.14/0.37 (step @p105 :rule symm :premises (@p45)) % 0.14/0.37 (step @p106 :rule symm :premises (@p30)) % 0.14/0.37 (step @p107 :rule trans :premises (@p106 @p43 @p49 @p98 @p76 @p75 @p20)) % 0.14/0.37 (step @p108 :rule trans :premises (@p27 @p29)) % 0.14/0.37 (step @p109 :rule cong :premises (@p108 @p107) :args (@t66)) % 0.14/0.37 (step @p110 :rule trans :premises (@p109 @p105 @p104 @p86 @p35 @p44 @p103 @p102 @p101)) % 0.14/0.37 (step @p111 :rule symm :premises (@p97)) % 0.14/0.37 (step @p112 :rule cong :premises (@p111 @p110) :args (@t67)) % 0.14/0.37 (step @p113 :rule trans :premises (@p39 @p47 @p112 @p100 @p99 @p43 @p49 @p98 @p76 @p75)) % 0.14/0.37 (step-pop @p168 :rule scope :premises (@p113)) % 0.14/0.37 (step-pop @p169 :rule scope :premises (@p168)) % 0.14/0.37 (step-pop @p170 :rule scope :premises (@p169)) % 0.14/0.37 (step-pop @p171 :rule scope :premises (@p170)) % 0.14/0.37 (step-pop @p172 :rule scope :premises (@p171)) % 0.14/0.37 (step-pop @p173 :rule scope :premises (@p172)) % 0.14/0.37 (step-pop @p174 :rule scope :premises (@p173)) % 0.14/0.37 (step-pop @p175 :rule scope :premises (@p174)) % 0.14/0.37 (step-pop @p176 :rule scope :premises (@p175)) % 0.14/0.37 (step-pop @p177 :rule scope :premises (@p176)) % 0.14/0.37 (step-pop @p178 :rule scope :premises (@p177)) % 0.14/0.37 (step-pop @p179 :rule scope :premises (@p178)) % 0.14/0.37 (step-pop @p180 :rule scope :premises (@p179)) % 0.14/0.37 (step-pop @p181 :rule scope :premises (@p180)) % 0.14/0.37 (step-pop @p182 :rule scope :premises (@p181)) % 0.14/0.37 (step-pop @p183 :rule scope :premises (@p182)) % 0.14/0.37 (step-pop @p184 :rule scope :premises (@p183)) % 0.14/0.37 (step-pop @p185 :rule scope :premises (@p184)) % 0.14/0.37 (step-pop @p186 :rule scope :premises (@p185)) % 0.14/0.37 (step-pop @p187 :rule scope :premises (@p186)) % 0.14/0.37 (step-pop @p188 :rule scope :premises (@p187)) % 0.14/0.37 (step-pop @p189 :rule scope :premises (@p188)) % 0.14/0.37 (step-pop @p190 :rule scope :premises (@p189)) % 0.14/0.37 (step-pop @p191 :rule scope :premises (@p190)) % 0.14/0.37 (step @p114 :rule process_scope :premises (@p191) :args (@t20)) % 0.14/0.37 (step @p139 :rule implies_elim :premises (@p114)) % 0.14/0.37 (step @p140 :rule cnf_and_neg :args (@t74)) % 0.14/0.37 (step @p141 :rule resolution :premises (@p140 @p139) :args (true @t74)) % 0.14/0.37 (step @p142 :rule reordering :premises (@p141) :args ((or @t20 (not @t33) (not @t34) (not @t35) (not @t37) (not @t38) (not @t41) (not @t43) (not @t44) (not @t45) (not @t46) (not @t49) (not @t51) (not @t53) (not @t55) (not @t57) (not @t59) (not @t61) (not @t63) (not @t64) (not @t65) (not @t68) (not @t69) (not @t71) (not @t73)))) % 0.14/0.37 (step @p143 false :rule chain_m_resolution :premises (@p142 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p35 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p20 @p19 @p18 @p14) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t73 @t71 @t69 @t68 @t65 @t64 @t63 @t61 @t59 @t57 @t55 @t53 @t51 @t49 @t46 @t45 @t44 @t43 @t41 @t38 @t37 @t35 @t34 @t33 @t20))) % 0.14/0.37 ) % 0.14/0.38 % SZS output end Proof % 0.14/0.38 % cvc5 exiting %------------------------------------------------------------------------------