%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP149-1 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:20:01 AM UTC 2026 % Result : Unsatisfiable 0.31s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP149-1 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 00:54:39 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.57 % SZS status Unsatisfiable % 0.31/0.57 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.b $$unsorted) % 0.39/0.58 (declare-const tptp.c $$unsorted) % 0.39/0.58 (declare-const tptp.a $$unsorted) % 0.39/0.58 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.identity $$unsorted) % 0.39/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.58 (define @t2 () (@list @t1)) % 0.39/0.58 (define @t3 () (@var "Z" $$unsorted)) % 0.39/0.58 (define @t4 () (@var "Y" $$unsorted)) % 0.39/0.58 (define @t5 () (tptp.multiply @t1 @t4)) % 0.39/0.58 (define @t6 () (@list @t1 @t4 @t3)) % 0.39/0.58 (define @t7 () (tptp.greatest_lower_bound @t1 @t4)) % 0.39/0.58 (define @t8 () (@list @t1 @t4)) % 0.39/0.58 (define @t9 () (tptp.least_upper_bound @t1 @t4)) % 0.39/0.58 (define @t10 () (tptp.greatest_lower_bound @t4 @t3)) % 0.39/0.58 (define @t11 () (tptp.least_upper_bound @t4 @t3)) % 0.39/0.58 (define @t12 () (tptp.least_upper_bound @t1 @t7)) % 0.39/0.58 (define @t13 () (forall @t8 (= @t12 @t1))) % 0.39/0.58 (define @t14 () (tptp.multiply @t1 @t3)) % 0.39/0.58 (define @t15 () (tptp.multiply @t3 @t1)) % 0.39/0.58 (define @t16 () (tptp.multiply @t4 @t1)) % 0.39/0.58 (define @t17 () (@list @t4 @t3 @t1)) % 0.39/0.58 (define @t18 () (tptp.greatest_lower_bound tptp.a tptp.c)) % 0.39/0.58 (define @t19 () (tptp.greatest_lower_bound tptp.b tptp.c)) % 0.39/0.58 (define @t20 () (tptp.least_upper_bound tptp.a tptp.b)) % 0.39/0.58 (define @t21 () (tptp.least_upper_bound @t20 tptp.c)) % 0.39/0.58 (define @t22 () (tptp.greatest_lower_bound tptp.c tptp.b)) % 0.39/0.58 (define @t23 () (tptp.least_upper_bound tptp.c @t22)) % 0.39/0.58 (define @t24 () (= tptp.c @t23)) % 0.39/0.58 (define @t25 () (not @t24)) % 0.39/0.58 (define @t26 () (tptp.greatest_lower_bound tptp.c tptp.a)) % 0.39/0.58 (define @t27 () (tptp.least_upper_bound tptp.c @t26)) % 0.39/0.58 (define @t28 () (= tptp.c @t27)) % 0.39/0.58 (define @t29 () (not @t28)) % 0.39/0.58 (define @t30 () (tptp.least_upper_bound tptp.c @t20)) % 0.39/0.58 (define @t31 () (= @t30 (tptp.least_upper_bound (tptp.least_upper_bound tptp.c tptp.a) tptp.b))) % 0.39/0.58 (define @t32 () (not @t31)) % 0.39/0.58 (define @t33 () (= @t21 @t30)) % 0.39/0.58 (define @t34 () (not @t33)) % 0.39/0.58 (define @t35 () (= @t19 @t22)) % 0.39/0.58 (define @t36 () (not @t35)) % 0.39/0.58 (define @t37 () (= @t18 @t26)) % 0.39/0.58 (define @t38 () (not @t37)) % 0.39/0.58 (define @t39 () (= tptp.c @t21)) % 0.39/0.58 (define @t40 () (= tptp.b @t19)) % 0.39/0.58 (define @t41 () (not @t40)) % 0.39/0.58 (define @t42 () (= tptp.a @t18)) % 0.39/0.58 (define @t43 () (not @t42)) % 0.39/0.58 (define @t44 () (not @t39)) % 0.39/0.58 (define @t45 () (and @t42 @t40 @t44 @t37 @t35 @t33 @t31 @t28)) % 0.39/0.58 (assume @p1 (forall @t2 (= (tptp.multiply tptp.identity @t1) @t1))) % 0.39/0.58 (assume @p2 (forall @t2 (= (tptp.multiply (tptp.inverse @t1) @t1) tptp.identity))) % 0.39/0.58 (assume @p3 (forall @t6 (= (tptp.multiply @t5 @t3) (tptp.multiply @t1 (tptp.multiply @t4 @t3))))) % 0.39/0.58 (assume @p4 (forall @t8 (= @t7 (tptp.greatest_lower_bound @t4 @t1)))) % 0.39/0.58 (assume @p5 (forall @t8 (= @t9 (tptp.least_upper_bound @t4 @t1)))) % 0.39/0.58 (assume @p6 (forall @t6 (= (tptp.greatest_lower_bound @t1 @t10) (tptp.greatest_lower_bound @t7 @t3)))) % 0.39/0.58 (assume @p7 (forall @t6 (= (tptp.least_upper_bound @t1 @t11) (tptp.least_upper_bound @t9 @t3)))) % 0.39/0.58 (assume @p8 (forall @t2 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 0.39/0.58 (assume @p9 (forall @t2 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 0.39/0.58 (assume @p10 @t13) % 0.39/0.58 (assume @p11 (forall @t8 (= (tptp.greatest_lower_bound @t1 @t9) @t1))) % 0.39/0.58 (assume @p12 (forall @t6 (= (tptp.multiply @t1 @t11) (tptp.least_upper_bound @t5 @t14)))) % 0.39/0.58 (assume @p13 (forall @t6 (= (tptp.multiply @t1 @t10) (tptp.greatest_lower_bound @t5 @t14)))) % 0.39/0.58 (assume @p14 (forall @t17 (= (tptp.multiply @t11 @t1) (tptp.least_upper_bound @t16 @t15)))) % 0.39/0.58 (assume @p15 (forall @t17 (= (tptp.multiply @t10 @t1) (tptp.greatest_lower_bound @t16 @t15)))) % 0.39/0.58 (assume @p16 (= @t18 tptp.a)) % 0.39/0.58 (assume @p17 (= @t19 tptp.b)) % 0.39/0.58 (assume @p18 (not (= @t21 tptp.c))) % 0.39/0.58 (step @p19 :rule symm :premises (@p16)) % 0.39/0.58 (step @p20 :rule symm :premises (@p17)) % 0.39/0.58 (step @p21 :rule symm :premises (@p18)) % 0.39/0.58 (step @p22 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.c))) % 0.39/0.58 (step @p23 :rule instantiate :premises (@p4) :args ((@list tptp.b tptp.c))) % 0.39/0.58 (step @p24 :rule instantiate :premises (@p5) :args ((@list @t20 tptp.c))) % 0.39/0.58 (step @p25 :rule instantiate :premises (@p7) :args ((@list tptp.c tptp.a tptp.b))) % 0.39/0.58 (step @p26 :rule eq-symm :args (@t12 @t1)) % 0.39/0.58 (step @p27 :rule cong :premises (@p26) :args (@t13)) % 0.39/0.58 (step @p28 :rule eq_resolve :premises (@p10 @p27)) % 0.39/0.58 (step @p29 :rule instantiate :premises (@p28) :args ((@list tptp.c tptp.a))) % 0.39/0.58 (step @p30 :rule instantiate :premises (@p28) :args ((@list tptp.c tptp.b))) % 0.39/0.58 (step @p31 :rule refl :args (@t25)) % 0.39/0.58 (step @p32 :rule refl :args (@t29)) % 0.39/0.58 (step @p33 :rule refl :args (@t32)) % 0.39/0.58 (step @p34 :rule refl :args (@t34)) % 0.39/0.58 (step @p35 :rule refl :args (@t36)) % 0.39/0.58 (step @p36 :rule refl :args (@t38)) % 0.39/0.58 (step @p37 :rule bool-double-not-elim :args (@t39)) % 0.39/0.58 (step @p38 :rule refl :args (@t41)) % 0.39/0.58 (step @p39 :rule refl :args (@t43)) % 0.39/0.58 (step @p40 :rule nary_cong :premises (@p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31) :args ((or @t43 @t41 (not @t44) @t38 @t36 @t34 @t32 @t29 @t25))) % 0.39/0.58 (assume-push @p81 @t42) % 0.39/0.58 (assume-push @p82 @t40) % 0.39/0.58 (assume-push @p83 @t44) % 0.39/0.58 (assume-push @p84 @t37) % 0.39/0.58 (assume-push @p85 @t35) % 0.39/0.58 (assume-push @p86 @t33) % 0.39/0.58 (assume-push @p87 @t31) % 0.39/0.58 (assume-push @p88 @t28) % 0.39/0.58 (step @p49 :rule false_intro :premises (@p21)) % 0.39/0.58 (step @p50 :rule symm :premises (@p24)) % 0.39/0.58 (step @p51 :rule symm :premises (@p25)) % 0.39/0.58 (step @p52 :rule refl :args (tptp.b)) % 0.39/0.58 (step @p53 :rule symm :premises (@p22)) % 0.39/0.58 (step @p54 :rule trans :premises (@p53 @p16)) % 0.39/0.58 (step @p55 :rule refl :args (tptp.c)) % 0.39/0.58 (step @p56 :rule cong :premises (@p55 @p54) :args (@t27)) % 0.39/0.58 (step @p57 :rule trans :premises (@p29 @p56)) % 0.39/0.58 (step @p58 :rule cong :premises (@p57 @p52) :args ((tptp.least_upper_bound tptp.c tptp.b))) % 0.39/0.58 (step @p59 :rule symm :premises (@p23)) % 0.39/0.58 (step @p60 :rule trans :premises (@p59 @p17)) % 0.39/0.58 (step @p61 :rule cong :premises (@p55 @p60) :args (@t23)) % 0.39/0.58 (step @p62 :rule trans :premises (@p61 @p58 @p51 @p50)) % 0.39/0.58 (step @p63 :rule cong :premises (@p55 @p62) :args (@t24)) % 0.39/0.58 (step @p64 :rule trans :premises (@p63 @p49)) % 0.39/0.58 (step @p65 :rule false_elim :premises (@p64)) % 0.39/0.58 (step-pop @p89 :rule scope :premises (@p65)) % 0.39/0.58 (step-pop @p90 :rule scope :premises (@p89)) % 0.39/0.58 (step-pop @p91 :rule scope :premises (@p90)) % 0.39/0.58 (step-pop @p92 :rule scope :premises (@p91)) % 0.39/0.58 (step-pop @p93 :rule scope :premises (@p92)) % 0.39/0.58 (step-pop @p94 :rule scope :premises (@p93)) % 0.39/0.58 (step-pop @p95 :rule scope :premises (@p94)) % 0.39/0.58 (step-pop @p96 :rule scope :premises (@p95)) % 0.39/0.58 (step @p66 :rule process_scope :premises (@p96) :args (@t25)) % 0.39/0.58 (step @p75 :rule implies_elim :premises (@p66)) % 0.39/0.58 (step @p76 :rule cnf_and_neg :args (@t45)) % 0.39/0.58 (step @p77 :rule resolution :premises (@p76 @p75) :args (true @t45)) % 0.39/0.58 (step @p78 :rule eq_resolve :premises (@p77 @p40)) % 0.39/0.58 (step @p79 :rule reordering :premises (@p78) :args ((or @t39 @t43 @t41 @t38 @t36 @t34 @t32 @t29 @t25))) % 0.39/0.58 (step @p80 false :rule chain_m_resolution :premises (@p79 @p30 @p29 @p25 @p24 @p23 @p22 @p21 @p20 @p19) :args (false (@list false false false false false false true false false) (@list @t24 @t28 @t31 @t33 @t35 @t37 @t39 @t40 @t42))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------