%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT032-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:29:39 AM UTC 2026 % Result : Unsatisfiable 0.42s 0.67s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT032-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 05:43:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.25/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.25/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.42/0.67 % SZS status Unsatisfiable % 0.42/0.67 % SZS output start Proof % 0.42/0.67 ( % 0.42/0.67 (declare-sort $$unsorted 0) % 0.42/0.67 (declare-const tptp.xx $$unsorted) % 0.42/0.67 (declare-const tptp.zz $$unsorted) % 0.42/0.67 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.67 (declare-const tptp.yy $$unsorted) % 0.42/0.67 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.67 (define @t1 () (@var "X" $$unsorted)) % 0.42/0.67 (define @t2 () (@list @t1)) % 0.42/0.67 (define @t3 () (tptp.join @t1 @t1)) % 0.42/0.67 (define @t4 () (forall @t2 (= @t3 @t1))) % 0.42/0.67 (define @t5 () (@var "Y" $$unsorted)) % 0.42/0.67 (define @t6 () (tptp.join @t1 @t5)) % 0.42/0.67 (define @t7 () (@list @t1 @t5)) % 0.42/0.67 (define @t8 () (tptp.meet @t1 @t5)) % 0.42/0.67 (define @t9 () (tptp.join @t1 @t8)) % 0.42/0.67 (define @t10 () (forall @t7 (= @t9 @t1))) % 0.42/0.67 (define @t11 () (@var "Z" $$unsorted)) % 0.42/0.67 (define @t12 () (tptp.meet @t5 @t11)) % 0.42/0.67 (define @t13 () (@list @t1 @t5 @t11)) % 0.42/0.67 (define @t14 () (forall @t13 (= (tptp.meet @t8 @t11) (tptp.meet @t1 @t12)))) % 0.42/0.67 (define @t15 () (tptp.meet tptp.xx tptp.yy)) % 0.42/0.67 (define @t16 () (tptp.join @t15 tptp.xx)) % 0.42/0.67 (define @t17 () (tptp.join tptp.zz tptp.yy)) % 0.42/0.67 (define @t18 () (tptp.join tptp.zz tptp.xx)) % 0.42/0.67 (define @t19 () (tptp.meet @t16 (tptp.meet @t18 @t17))) % 0.42/0.67 (define @t20 () (@list tptp.xx tptp.zz)) % 0.42/0.67 (define @t21 () (tptp.join tptp.xx tptp.zz)) % 0.42/0.67 (define @t22 () (tptp.meet @t16 @t18)) % 0.42/0.67 (define @t23 () (tptp.meet @t22 @t17)) % 0.42/0.67 (define @t24 () (= @t23 @t19)) % 0.42/0.67 (assume @p1 (forall @t2 (= (tptp.meet @t1 @t1) @t1))) % 0.42/0.67 (assume @p2 @t4) % 0.42/0.67 (assume @p3 (forall @t7 (= (tptp.meet @t1 @t6) @t1))) % 0.42/0.67 (assume @p4 @t10) % 0.42/0.67 (assume @p5 (forall @t7 (= @t8 (tptp.meet @t5 @t1)))) % 0.42/0.67 (assume @p6 (forall @t7 (= @t6 (tptp.join @t5 @t1)))) % 0.42/0.67 (assume @p7 @t14) % 0.42/0.67 (assume @p8 (forall @t13 (= (tptp.join @t6 @t11) (tptp.join @t1 (tptp.join @t5 @t11))))) % 0.42/0.67 (assume @p9 (forall @t13 (= (tptp.join @t1 @t12) (tptp.meet @t6 (tptp.join @t1 @t11))))) % 0.42/0.67 (assume @p10 (not (= (tptp.meet tptp.xx (tptp.join tptp.yy tptp.zz)) (tptp.join @t15 (tptp.meet tptp.xx tptp.zz))))) % 0.42/0.67 (step @p11 :rule false_intro :premises (@p10)) % 0.42/0.67 (step @p12 :rule instantiate :premises (@p9) :args ((@list @t15 tptp.xx tptp.zz))) % 0.42/0.67 (step @p13 :rule symm :premises (@p12)) % 0.42/0.67 (step @p14 :rule instantiate :premises (@p6) :args ((@list @t15 tptp.zz))) % 0.42/0.67 (step @p15 :rule symm :premises (@p14)) % 0.42/0.67 (step @p16 :rule instantiate :premises (@p9) :args ((@list tptp.zz tptp.xx tptp.yy))) % 0.42/0.67 (step @p17 :rule symm :premises (@p16)) % 0.42/0.67 (step @p18 :rule trans :premises (@p17 @p15)) % 0.42/0.67 (step @p19 :rule refl :args (@t16)) % 0.42/0.67 (step @p20 :rule cong :premises (@p19 @p18) :args (@t19)) % 0.42/0.67 (step @p21 :rule trans :premises (@p20 @p13)) % 0.42/0.67 (step @p22 :rule instantiate :premises (@p6) :args ((@list tptp.yy tptp.zz))) % 0.42/0.67 (step @p23 :rule symm :premises (@p22)) % 0.42/0.67 (step @p24 :rule eq-symm :args (@t9 @t1)) % 0.42/0.67 (step @p25 :rule cong :premises (@p24) :args (@t10)) % 0.42/0.67 (step @p26 :rule eq_resolve :premises (@p4 @p25)) % 0.42/0.67 (step @p27 :rule instantiate :premises (@p26) :args (@t20)) % 0.42/0.67 (step @p28 :rule symm :premises (@p27)) % 0.42/0.67 (step @p29 :rule instantiate :premises (@p9) :args ((@list tptp.xx tptp.xx tptp.zz))) % 0.42/0.67 (step @p30 :rule symm :premises (@p29)) % 0.42/0.67 (step @p31 :rule refl :args (@t21)) % 0.42/0.67 (step @p32 :rule eq-symm :args (@t3 @t1)) % 0.42/0.67 (step @p33 :rule cong :premises (@p32) :args (@t4)) % 0.42/0.67 (step @p34 :rule eq_resolve :premises (@p2 @p33)) % 0.42/0.67 (step @p35 :rule instantiate :premises (@p34) :args ((@list tptp.xx))) % 0.42/0.67 (step @p36 :rule cong :premises (@p35 @p31) :args ((tptp.meet tptp.xx @t21))) % 0.42/0.67 (step @p37 :rule instantiate :premises (@p6) :args (@t20)) % 0.42/0.67 (step @p38 :rule symm :premises (@p37)) % 0.42/0.67 (step @p39 :rule instantiate :premises (@p26) :args ((@list tptp.xx tptp.yy))) % 0.42/0.67 (step @p40 :rule symm :premises (@p39)) % 0.42/0.67 (step @p41 :rule instantiate :premises (@p6) :args ((@list tptp.xx @t15))) % 0.42/0.67 (step @p42 :rule symm :premises (@p41)) % 0.42/0.67 (step @p43 :rule trans :premises (@p42 @p40)) % 0.42/0.67 (step @p44 :rule cong :premises (@p43 @p38) :args (@t22)) % 0.42/0.67 (step @p45 :rule trans :premises (@p44 @p36 @p30 @p28)) % 0.42/0.67 (step @p46 :rule cong :premises (@p45 @p23) :args (@t23)) % 0.42/0.67 (step @p47 :rule cong :premises (@p46 @p21) :args (@t24)) % 0.42/0.67 (step @p48 :rule trans :premises (@p47 @p11)) % 0.42/0.67 (step @p49 :rule false_elim :premises (@p48)) % 0.42/0.67 (assume-push @p56 @t14) % 0.42/0.67 (step @p51 :rule instantiate :premises (@p7) :args ((@list @t16 @t18 @t17))) % 0.42/0.67 (step-pop @p57 :rule scope :premises (@p51)) % 0.42/0.67 (step @p52 :rule process_scope :premises (@p57) :args (@t24)) % 0.42/0.67 (step @p54 :rule implies_elim :premises (@p52)) % 0.42/0.67 (step @p55 false :rule chain_m_resolution :premises (@p54 @p49 @p7) :args (false (@list true false) (@list @t24 @t14))) % 0.42/0.67 ) % 0.42/0.67 % SZS output end Proof % 0.42/0.67 % cvc5 exiting %------------------------------------------------------------------------------