%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP175-3 : 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 : 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 08:20:06 AM UTC 2026 % Result : Unsatisfiable 0.16s 0.37s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GRP175-3 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.26 % CPULimit : 300 % 0.08/0.26 % WCLimit : 300 % 0.08/0.26 % DateTime : Tue Jun 2 00:54:33 EDT 2026 % 0.08/0.26 % CPUTime : % 0.16/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/0.37 % SZS status Unsatisfiable % 0.16/0.37 % SZS output start Proof % 0.16/0.37 ( % 0.16/0.37 (declare-sort $$unsorted 0) % 0.16/0.37 (declare-const tptp.a $$unsorted) % 0.16/0.37 (declare-const tptp.b $$unsorted) % 0.16/0.37 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.identity $$unsorted) % 0.16/0.37 (define @t1 () (@var "X" $$unsorted)) % 0.16/0.37 (define @t2 () (tptp.multiply tptp.identity @t1)) % 0.16/0.37 (define @t3 () (@list @t1)) % 0.16/0.37 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.16/0.37 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 0.16/0.37 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 0.16/0.37 (define @t7 () (@var "Z" $$unsorted)) % 0.16/0.37 (define @t8 () (@var "Y" $$unsorted)) % 0.16/0.37 (define @t9 () (tptp.multiply @t1 @t8)) % 0.16/0.37 (define @t10 () (@list @t1 @t8 @t7)) % 0.16/0.37 (define @t11 () (tptp.greatest_lower_bound @t1 @t8)) % 0.16/0.37 (define @t12 () (@list @t1 @t8)) % 0.16/0.37 (define @t13 () (tptp.least_upper_bound @t1 @t8)) % 0.16/0.37 (define @t14 () (tptp.greatest_lower_bound @t8 @t7)) % 0.16/0.38 (define @t15 () (tptp.least_upper_bound @t8 @t7)) % 0.16/0.38 (define @t16 () (tptp.greatest_lower_bound @t1 @t13)) % 0.16/0.38 (define @t17 () (forall @t12 (= @t16 @t1))) % 0.16/0.38 (define @t18 () (tptp.multiply @t1 @t7)) % 0.16/0.38 (define @t19 () (tptp.multiply @t7 @t1)) % 0.16/0.38 (define @t20 () (tptp.multiply @t8 @t1)) % 0.16/0.38 (define @t21 () (@list @t8 @t7 @t1)) % 0.16/0.38 (define @t22 () (tptp.least_upper_bound tptp.identity tptp.b)) % 0.16/0.38 (define @t23 () (tptp.multiply tptp.b tptp.a)) % 0.16/0.38 (define @t24 () (tptp.inverse tptp.a)) % 0.16/0.38 (define @t25 () (tptp.multiply @t24 @t23)) % 0.16/0.38 (define @t26 () (tptp.greatest_lower_bound tptp.identity @t25)) % 0.16/0.38 (define @t27 () (@list tptp.a)) % 0.16/0.38 (define @t28 () (tptp.multiply tptp.identity tptp.a)) % 0.16/0.38 (define @t29 () (tptp.multiply @t24 tptp.a)) % 0.16/0.38 (define @t30 () (tptp.greatest_lower_bound @t29 @t25)) % 0.16/0.38 (define @t31 () (tptp.greatest_lower_bound tptp.a @t23)) % 0.16/0.38 (define @t32 () (tptp.multiply @t24 @t31)) % 0.16/0.38 (define @t33 () (= @t32 @t30)) % 0.16/0.38 (define @t34 () (not @t33)) % 0.16/0.38 (define @t35 () (tptp.least_upper_bound @t28 @t23)) % 0.16/0.38 (define @t36 () (= @t28 (tptp.greatest_lower_bound @t28 @t35))) % 0.16/0.38 (define @t37 () (not @t36)) % 0.16/0.38 (define @t38 () (= tptp.a @t28)) % 0.16/0.38 (define @t39 () (not @t38)) % 0.16/0.38 (define @t40 () (tptp.multiply @t22 tptp.a)) % 0.16/0.38 (define @t41 () (= @t40 @t35)) % 0.16/0.38 (define @t42 () (not @t41)) % 0.16/0.38 (define @t43 () (= tptp.identity @t29)) % 0.16/0.38 (define @t44 () (not @t43)) % 0.16/0.38 (define @t45 () (= tptp.identity @t26)) % 0.16/0.38 (define @t46 () (= tptp.b @t22)) % 0.16/0.38 (define @t47 () (not @t46)) % 0.16/0.38 (define @t48 () (not @t45)) % 0.16/0.38 (define @t49 () (and @t46 @t48 @t43 @t41 @t38 @t36)) % 0.16/0.38 (assume @p1 @t4) % 0.16/0.38 (assume @p2 @t6) % 0.16/0.38 (assume @p3 (forall @t10 (= (tptp.multiply @t9 @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 0.16/0.38 (assume @p4 (forall @t12 (= @t11 (tptp.greatest_lower_bound @t8 @t1)))) % 0.16/0.38 (assume @p5 (forall @t12 (= @t13 (tptp.least_upper_bound @t8 @t1)))) % 0.16/0.38 (assume @p6 (forall @t10 (= (tptp.greatest_lower_bound @t1 @t14) (tptp.greatest_lower_bound @t11 @t7)))) % 0.16/0.38 (assume @p7 (forall @t10 (= (tptp.least_upper_bound @t1 @t15) (tptp.least_upper_bound @t13 @t7)))) % 0.16/0.38 (assume @p8 (forall @t3 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 0.16/0.38 (assume @p9 (forall @t3 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 0.16/0.38 (assume @p10 (forall @t12 (= (tptp.least_upper_bound @t1 @t11) @t1))) % 0.16/0.38 (assume @p11 @t17) % 0.16/0.38 (assume @p12 (forall @t10 (= (tptp.multiply @t1 @t15) (tptp.least_upper_bound @t9 @t18)))) % 0.16/0.38 (assume @p13 (forall @t10 (= (tptp.multiply @t1 @t14) (tptp.greatest_lower_bound @t9 @t18)))) % 0.16/0.38 (assume @p14 (forall @t21 (= (tptp.multiply @t15 @t1) (tptp.least_upper_bound @t20 @t19)))) % 0.16/0.38 (assume @p15 (forall @t21 (= (tptp.multiply @t14 @t1) (tptp.greatest_lower_bound @t20 @t19)))) % 0.16/0.38 (assume @p16 (= @t22 tptp.b)) % 0.16/0.38 (assume @p17 (not (= @t26 tptp.identity))) % 0.16/0.38 (step @p18 :rule symm :premises (@p16)) % 0.16/0.38 (step @p19 :rule symm :premises (@p17)) % 0.16/0.38 (step @p20 :rule eq-symm :args (@t5 tptp.identity)) % 0.16/0.38 (step @p21 :rule cong :premises (@p20) :args (@t6)) % 0.16/0.38 (step @p22 :rule eq_resolve :premises (@p2 @p21)) % 0.16/0.38 (step @p23 :rule instantiate :premises (@p22) :args (@t27)) % 0.16/0.38 (step @p24 :rule instantiate :premises (@p14) :args ((@list tptp.identity tptp.b tptp.a))) % 0.16/0.38 (step @p25 :rule eq-symm :args (@t2 @t1)) % 0.16/0.38 (step @p26 :rule cong :premises (@p25) :args (@t4)) % 0.16/0.38 (step @p27 :rule eq_resolve :premises (@p1 @p26)) % 0.16/0.38 (step @p28 :rule instantiate :premises (@p27) :args (@t27)) % 0.16/0.38 (step @p29 :rule eq-symm :args (@t16 @t1)) % 0.16/0.38 (step @p30 :rule cong :premises (@p29) :args (@t17)) % 0.16/0.38 (step @p31 :rule eq_resolve :premises (@p11 @p30)) % 0.16/0.38 (step @p32 :rule instantiate :premises (@p31) :args ((@list @t28 @t23))) % 0.16/0.38 (step @p33 :rule instantiate :premises (@p13) :args ((@list @t24 tptp.a @t23))) % 0.16/0.38 (step @p34 :rule refl :args (@t34)) % 0.16/0.38 (step @p35 :rule refl :args (@t37)) % 0.16/0.38 (step @p36 :rule refl :args (@t39)) % 0.16/0.38 (step @p37 :rule refl :args (@t42)) % 0.16/0.38 (step @p38 :rule refl :args (@t44)) % 0.16/0.38 (step @p39 :rule bool-double-not-elim :args (@t45)) % 0.16/0.38 (step @p40 :rule refl :args (@t47)) % 0.16/0.38 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38 @p37 @p36 @p35 @p34) :args ((or @t47 (not @t48) @t44 @t42 @t39 @t37 @t34))) % 0.16/0.38 (assume-push @p80 @t46) % 0.16/0.38 (assume-push @p81 @t48) % 0.16/0.38 (assume-push @p82 @t43) % 0.16/0.38 (assume-push @p83 @t41) % 0.16/0.38 (assume-push @p84 @t38) % 0.16/0.38 (assume-push @p85 @t36) % 0.16/0.38 (step @p48 :rule false_intro :premises (@p19)) % 0.16/0.38 (step @p49 :rule refl :args (@t25)) % 0.16/0.38 (step @p50 :rule symm :premises (@p23)) % 0.16/0.38 (step @p51 :rule cong :premises (@p50 @p49) :args (@t30)) % 0.16/0.38 (step @p52 :rule symm :premises (@p28)) % 0.16/0.38 (step @p53 :rule refl :args (@t24)) % 0.16/0.38 (step @p54 :rule cong :premises (@p53 @p52) :args ((tptp.multiply @t24 @t28))) % 0.16/0.38 (step @p55 :rule symm :premises (@p32)) % 0.16/0.38 (step @p56 :rule refl :args (@t28)) % 0.16/0.38 (step @p57 :rule cong :premises (@p56 @p24) :args ((tptp.greatest_lower_bound @t28 @t40))) % 0.16/0.38 (step @p58 :rule refl :args (tptp.a)) % 0.16/0.38 (step @p59 :rule cong :premises (@p18 @p58) :args (@t23)) % 0.16/0.38 (step @p60 :rule cong :premises (@p28 @p59) :args (@t31)) % 0.16/0.38 (step @p61 :rule trans :premises (@p60 @p57 @p55)) % 0.16/0.38 (step @p62 :rule cong :premises (@p53 @p61) :args (@t32)) % 0.16/0.38 (step @p63 :rule trans :premises (@p62 @p54 @p50)) % 0.16/0.38 (step @p64 :rule cong :premises (@p63 @p51) :args (@t33)) % 0.16/0.38 (step @p65 :rule trans :premises (@p64 @p48)) % 0.16/0.38 (step @p66 :rule false_elim :premises (@p65)) % 0.16/0.38 (step-pop @p86 :rule scope :premises (@p66)) % 0.16/0.38 (step-pop @p87 :rule scope :premises (@p86)) % 0.16/0.38 (step-pop @p88 :rule scope :premises (@p87)) % 0.16/0.38 (step-pop @p89 :rule scope :premises (@p88)) % 0.16/0.38 (step-pop @p90 :rule scope :premises (@p89)) % 0.16/0.38 (step-pop @p91 :rule scope :premises (@p90)) % 0.16/0.38 (step @p67 :rule process_scope :premises (@p91) :args (@t34)) % 0.16/0.38 (step @p74 :rule implies_elim :premises (@p67)) % 0.16/0.38 (step @p75 :rule cnf_and_neg :args (@t49)) % 0.16/0.38 (step @p76 :rule resolution :premises (@p75 @p74) :args (true @t49)) % 0.16/0.38 (step @p77 :rule eq_resolve :premises (@p76 @p41)) % 0.16/0.38 (step @p78 :rule reordering :premises (@p77) :args ((or @t45 @t47 @t44 @t42 @t39 @t37 @t34))) % 0.16/0.38 (step @p79 false :rule chain_m_resolution :premises (@p78 @p33 @p32 @p28 @p24 @p23 @p19 @p18) :args (false (@list false false false false false true false) (@list @t33 @t36 @t38 @t41 @t43 @t45 @t46))) % 0.16/0.38 ) % 0.16/0.38 % SZS output end Proof % 0.16/0.38 % cvc5 exiting %------------------------------------------------------------------------------