%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN133-1 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:42:59 AM UTC 2026 % Result : Unsatisfiable 0.46s 0.67s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUN133-1 : TPTP v9.2.1. Released v8.1.0. % 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 : n025.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 12:49:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.67 % SZS status Unsatisfiable % 0.46/0.67 % SZS output start Proof % 0.46/0.67 ( % 0.46/0.67 (declare-sort $$unsorted 0) % 0.46/0.67 (declare-const tptp.a $$unsorted) % 0.46/0.67 (declare-const tptp.cubes (-> $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.one $$unsorted) % 0.46/0.67 (declare-const tptp.zero $$unsorted) % 0.46/0.67 (declare-const tptp.times (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.46/0.67 (declare-const |tptp.'+'| (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (define @t1 () (@var "X" $$unsorted)) % 0.46/0.67 (define @t2 () (@var "Y" $$unsorted)) % 0.46/0.67 (define @t3 () (|tptp.'+'| @t1 @t2)) % 0.46/0.67 (define @t4 () (@list @t1 @t2)) % 0.46/0.67 (define @t5 () (@var "Z" $$unsorted)) % 0.46/0.67 (define @t6 () (|tptp.'+'| @t2 @t5)) % 0.46/0.67 (define @t7 () (@list @t1 @t2 @t5)) % 0.46/0.67 (define @t8 () (forall @t7 (= (|tptp.'+'| @t1 @t6) (|tptp.'+'| @t3 @t5)))) % 0.46/0.67 (define @t9 () (tptp.times @t1 @t2)) % 0.46/0.67 (define @t10 () (forall @t4 (= @t9 (tptp.times @t2 @t1)))) % 0.46/0.67 (define @t11 () (tptp.times @t2 @t5)) % 0.46/0.67 (define @t12 () (@list @t1)) % 0.46/0.67 (define @t13 () (tptp.times @t1 @t5)) % 0.46/0.67 (define @t14 () (tptp.s @t1)) % 0.46/0.67 (define @t15 () (@var "N" $$unsorted)) % 0.46/0.67 (define @t16 () (tptp.sum @t15)) % 0.46/0.67 (define @t17 () (tptp.s @t15)) % 0.46/0.67 (define @t18 () (@list @t15)) % 0.46/0.67 (define @t19 () (tptp.cubes tptp.a)) % 0.46/0.67 (define @t20 () (tptp.sum tptp.a)) % 0.46/0.67 (define @t21 () (tptp.times @t20 @t20)) % 0.46/0.67 (define @t22 () (tptp.s tptp.a)) % 0.46/0.67 (define @t23 () (tptp.sum @t22)) % 0.46/0.67 (define @t24 () (@list tptp.a)) % 0.46/0.67 (define @t25 () (tptp.times @t22 @t22)) % 0.46/0.67 (define @t26 () (@list @t20 @t20 @t22)) % 0.46/0.67 (define @t27 () (tptp.times @t22 @t23)) % 0.46/0.67 (define @t28 () (tptp.times @t23 @t22)) % 0.46/0.67 (define @t29 () (= @t27 @t28)) % 0.46/0.67 (define @t30 () (tptp.times @t20 @t22)) % 0.46/0.67 (define @t31 () (|tptp.'+'| @t28 @t30)) % 0.46/0.67 (define @t32 () (|tptp.'+'| @t31 @t21)) % 0.46/0.67 (define @t33 () (|tptp.'+'| @t28 (|tptp.'+'| @t30 @t21))) % 0.46/0.67 (define @t34 () (= @t33 @t32)) % 0.46/0.67 (assume @p1 (forall @t4 (= @t3 (|tptp.'+'| @t2 @t1)))) % 0.46/0.67 (assume @p2 @t8) % 0.46/0.67 (assume @p3 @t10) % 0.46/0.67 (assume @p4 (forall @t7 (= (tptp.times @t1 @t11) (tptp.times @t9 @t5)))) % 0.46/0.67 (assume @p5 (forall @t12 (= (|tptp.'+'| @t1 tptp.zero) @t1))) % 0.46/0.67 (assume @p6 (forall @t12 (= (tptp.times @t1 tptp.zero) tptp.zero))) % 0.46/0.67 (assume @p7 (forall @t12 (= (tptp.times @t1 tptp.one) @t1))) % 0.46/0.67 (assume @p8 (forall @t7 (= (tptp.times @t1 @t6) (|tptp.'+'| @t9 @t13)))) % 0.46/0.67 (assume @p9 (forall @t7 (= (tptp.times @t3 @t5) (|tptp.'+'| @t13 @t11)))) % 0.46/0.67 (assume @p10 (forall @t4 (= (|tptp.'+'| @t14 @t2) (tptp.s @t3)))) % 0.46/0.67 (assume @p11 (forall @t4 (= (tptp.times @t14 @t2) (|tptp.'+'| @t2 @t9)))) % 0.46/0.67 (assume @p12 (= (tptp.sum tptp.zero) tptp.zero)) % 0.46/0.67 (assume @p13 (forall @t18 (= (tptp.sum @t17) (|tptp.'+'| @t17 @t16)))) % 0.46/0.67 (assume @p14 (= (tptp.cubes tptp.zero) tptp.zero)) % 0.46/0.67 (assume @p15 (forall @t18 (= (tptp.cubes @t17) (|tptp.'+'| (tptp.times @t17 (tptp.times @t17 @t17)) (tptp.cubes @t15))))) % 0.46/0.67 (assume @p16 (forall @t18 (= (|tptp.'+'| @t16 @t16) (tptp.times @t15 @t17)))) % 0.46/0.67 (assume @p17 (= @t21 @t19)) % 0.46/0.67 (assume @p18 (not (= (tptp.times @t23 @t23) (tptp.cubes @t22)))) % 0.46/0.67 (step @p19 :rule false_intro :premises (@p18)) % 0.46/0.67 (step @p20 :rule instantiate :premises (@p15) :args (@t24)) % 0.46/0.67 (step @p21 :rule symm :premises (@p20)) % 0.46/0.67 (step @p22 :rule refl :args (@t19)) % 0.46/0.67 (step @p23 :rule instantiate :premises (@p11) :args ((@list tptp.a @t25))) % 0.46/0.67 (step @p24 :rule symm :premises (@p23)) % 0.46/0.67 (step @p25 :rule cong :premises (@p24 @p22) :args ((|tptp.'+'| (|tptp.'+'| @t25 (tptp.times tptp.a @t25)) @t19))) % 0.46/0.67 (step @p26 :rule instantiate :premises (@p11) :args ((@list tptp.a @t22))) % 0.46/0.67 (step @p27 :rule symm :premises (@p26)) % 0.46/0.67 (step @p28 :rule instantiate :premises (@p1) :args ((@list @t22 (tptp.times tptp.a @t22)))) % 0.46/0.67 (step @p29 :rule symm :premises (@p28)) % 0.46/0.67 (step @p30 :rule refl :args (@t22)) % 0.46/0.67 (step @p31 :rule instantiate :premises (@p16) :args (@t24)) % 0.46/0.67 (step @p32 :rule cong :premises (@p31 @p30) :args ((|tptp.'+'| (|tptp.'+'| @t20 @t20) @t22))) % 0.46/0.67 (step @p33 :rule instantiate :premises (@p2) :args (@t26)) % 0.46/0.67 (step @p34 :rule instantiate :premises (@p13) :args (@t24)) % 0.46/0.67 (step @p35 :rule symm :premises (@p34)) % 0.46/0.67 (step @p36 :rule instantiate :premises (@p1) :args ((@list @t22 @t20))) % 0.46/0.67 (step @p37 :rule symm :premises (@p36)) % 0.46/0.67 (step @p38 :rule trans :premises (@p37 @p35)) % 0.46/0.67 (step @p39 :rule symm :premises (@p38)) % 0.46/0.67 (step @p40 :rule refl :args (@t20)) % 0.46/0.67 (step @p41 :rule cong :premises (@p40 @p39) :args ((|tptp.'+'| @t20 @t23))) % 0.46/0.67 (step @p42 :rule instantiate :premises (@p1) :args ((@list @t20 @t23))) % 0.46/0.67 (step @p43 :rule symm :premises (@p42)) % 0.46/0.67 (step @p44 :rule trans :premises (@p43 @p41 @p33 @p32 @p29 @p27)) % 0.46/0.67 (step @p45 :rule cong :premises (@p30 @p44) :args ((tptp.times @t22 (|tptp.'+'| @t23 @t20)))) % 0.46/0.67 (step @p46 :rule instantiate :premises (@p8) :args ((@list @t22 @t23 @t20))) % 0.46/0.67 (step @p47 :rule symm :premises (@p46)) % 0.46/0.67 (step @p48 :rule instantiate :premises (@p3) :args ((@list @t20 @t22))) % 0.46/0.67 (step @p49 :rule eq-symm :args (@t27 @t28)) % 0.46/0.67 (step @p50 :rule refl :args (@t10)) % 0.46/0.67 (step @p51 :rule cong :premises (@p50 @p49) :args ((=> @t10 @t29))) % 0.46/0.67 (assume-push @p85 @t10) % 0.46/0.67 (step @p53 :rule instantiate :premises (@p3) :args ((@list @t22 @t23))) % 0.46/0.67 (step-pop @p86 :rule scope :premises (@p53)) % 0.46/0.67 (step @p54 :rule process_scope :premises (@p86) :args (@t29)) % 0.46/0.67 (step @p56 :rule eq_resolve :premises (@p54 @p51)) % 0.46/0.67 (step @p57 :rule implies_elim :premises (@p56)) % 0.46/0.67 (step @p58 :rule chain_m_resolution :premises (@p57 @p3) :args ((= @t28 @t27) (@list false) (@list @t10))) % 0.46/0.67 (step @p59 :rule cong :premises (@p58 @p48) :args (@t31)) % 0.46/0.67 (step @p60 :rule trans :premises (@p59 @p47 @p45)) % 0.46/0.67 (step @p61 :rule trans :premises (@p60 @p23)) % 0.46/0.67 (step @p62 :rule cong :premises (@p61 @p17) :args (@t32)) % 0.46/0.67 (step @p63 :rule trans :premises (@p62 @p25 @p21)) % 0.46/0.67 (step @p64 :rule refl :args (@t23)) % 0.46/0.67 (step @p65 :rule cong :premises (@p35 @p64) :args ((tptp.times (|tptp.'+'| @t22 @t20) @t23))) % 0.46/0.67 (step @p66 :rule instantiate :premises (@p9) :args ((@list @t22 @t20 @t23))) % 0.46/0.67 (step @p67 :rule symm :premises (@p66)) % 0.46/0.67 (step @p68 :rule cong :premises (@p40 @p38) :args ((tptp.times @t20 (|tptp.'+'| @t20 @t22)))) % 0.46/0.67 (step @p69 :rule instantiate :premises (@p8) :args (@t26)) % 0.46/0.67 (step @p70 :rule symm :premises (@p69)) % 0.46/0.67 (step @p71 :rule instantiate :premises (@p1) :args ((@list @t21 @t30))) % 0.46/0.67 (step @p72 :rule symm :premises (@p71)) % 0.46/0.67 (step @p73 :rule trans :premises (@p72 @p70 @p68)) % 0.46/0.67 (step @p74 :rule cong :premises (@p58 @p73) :args (@t33)) % 0.46/0.67 (step @p75 :rule trans :premises (@p74 @p67 @p65)) % 0.46/0.67 (step @p76 :rule cong :premises (@p75 @p63) :args (@t34)) % 0.46/0.67 (step @p77 :rule trans :premises (@p76 @p19)) % 0.46/0.67 (step @p78 :rule false_elim :premises (@p77)) % 0.46/0.67 (assume-push @p87 @t8) % 0.46/0.67 (step @p80 :rule instantiate :premises (@p2) :args ((@list @t28 @t30 @t21))) % 0.46/0.67 (step-pop @p88 :rule scope :premises (@p80)) % 0.46/0.67 (step @p81 :rule process_scope :premises (@p88) :args (@t34)) % 0.46/0.67 (step @p83 :rule implies_elim :premises (@p81)) % 0.46/0.67 (step @p84 false :rule chain_m_resolution :premises (@p83 @p78 @p2) :args (false (@list true false) (@list @t34 @t8))) % 0.46/0.67 ) % 0.46/0.68 % SZS output end Proof % 0.46/0.68 % cvc5 exiting %------------------------------------------------------------------------------