%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG010-2 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:45:22 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.62s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG010-2 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n007.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 13:55:26 EDT 2026 % 0.19/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.62 % SZS status Unsatisfiable % 0.39/0.62 % SZS output start Proof % 0.39/0.62 ( % 0.39/0.62 (declare-sort $$unsorted 0) % 0.39/0.62 (declare-const tptp.cz $$unsorted) % 0.39/0.62 (declare-const tptp.cy $$unsorted) % 0.39/0.62 (declare-const tptp.associator (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.cx $$unsorted) % 0.39/0.62 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.additive_identity $$unsorted) % 0.39/0.62 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.62 (define @t2 () (@list @t1)) % 0.39/0.62 (define @t3 () (tptp.additive_inverse @t1)) % 0.39/0.62 (define @t4 () (tptp.add @t3 @t1)) % 0.39/0.62 (define @t5 () (forall @t2 (= @t4 tptp.additive_identity))) % 0.39/0.62 (define @t6 () (@var "Y" $$unsorted)) % 0.39/0.62 (define @t7 () (tptp.additive_inverse @t6)) % 0.39/0.62 (define @t8 () (tptp.add @t1 @t6)) % 0.39/0.62 (define @t9 () (@list @t1 @t6)) % 0.39/0.62 (define @t10 () (tptp.additive_inverse @t3)) % 0.39/0.62 (define @t11 () (forall @t2 (= @t10 @t1))) % 0.39/0.62 (define @t12 () (@var "Z" $$unsorted)) % 0.39/0.62 (define @t13 () (tptp.multiply @t1 @t12)) % 0.39/0.62 (define @t14 () (tptp.multiply @t1 @t6)) % 0.39/0.62 (define @t15 () (tptp.add @t6 @t12)) % 0.39/0.62 (define @t16 () (@list @t1 @t6 @t12)) % 0.39/0.62 (define @t17 () (tptp.multiply @t6 @t12)) % 0.39/0.62 (define @t18 () (tptp.additive_inverse @t14)) % 0.39/0.62 (define @t19 () (tptp.multiply @t1 @t7)) % 0.39/0.62 (define @t20 () (forall @t9 (= @t19 @t18))) % 0.39/0.62 (define @t21 () (tptp.additive_inverse tptp.additive_identity)) % 0.39/0.62 (define @t22 () (= @t1 @t6)) % 0.39/0.62 (define @t23 () (@list @t12 @t1 @t6)) % 0.39/0.62 (define @t24 () (tptp.associator @t1 @t6 @t12)) % 0.39/0.62 (define @t25 () (tptp.multiply @t6 @t1)) % 0.39/0.62 (define @t26 () (tptp.additive_inverse @t24)) % 0.39/0.62 (define @t27 () (tptp.multiply @t1 @t25)) % 0.39/0.62 (define @t28 () (tptp.associator tptp.cx tptp.cy tptp.cz)) % 0.39/0.62 (define @t29 () (tptp.multiply tptp.cx tptp.cx)) % 0.39/0.62 (define @t30 () (tptp.multiply tptp.cy tptp.cz)) % 0.39/0.62 (define @t31 () (@list tptp.cx tptp.cx @t30)) % 0.39/0.62 (define @t32 () (tptp.multiply @t29 @t30)) % 0.39/0.62 (define @t33 () (tptp.additive_inverse @t32)) % 0.39/0.62 (define @t34 () (= tptp.additive_identity @t21)) % 0.39/0.62 (define @t35 () (tptp.multiply tptp.cx (tptp.multiply tptp.cx @t30))) % 0.39/0.62 (define @t36 () (= @t32 @t35)) % 0.39/0.62 (define @t37 () (tptp.multiply @t29 (tptp.additive_inverse @t30))) % 0.39/0.62 (define @t38 () (= @t33 @t37)) % 0.39/0.62 (define @t39 () (tptp.associator tptp.cx tptp.cx @t30)) % 0.39/0.62 (define @t40 () (= @t39 (tptp.add @t32 (tptp.additive_inverse @t35)))) % 0.39/0.62 (define @t41 () (tptp.additive_inverse @t33)) % 0.39/0.62 (define @t42 () (tptp.add @t41 @t33)) % 0.39/0.62 (define @t43 () (= tptp.additive_identity @t42)) % 0.39/0.62 (define @t44 () (= @t32 @t41)) % 0.39/0.62 (define @t45 () (= @t39 (tptp.additive_inverse @t39))) % 0.39/0.62 (define @t46 () (and @t34 @t36 @t38 @t40 @t43 @t44)) % 0.39/0.62 (assume @p1 (forall @t2 (= (tptp.add tptp.additive_identity @t1) @t1))) % 0.39/0.62 (assume @p2 (forall @t2 (= (tptp.multiply tptp.additive_identity @t1) tptp.additive_identity))) % 0.39/0.62 (assume @p3 (forall @t2 (= (tptp.multiply @t1 tptp.additive_identity) tptp.additive_identity))) % 0.39/0.62 (assume @p4 @t5) % 0.39/0.62 (assume @p5 (forall @t9 (= (tptp.additive_inverse @t8) (tptp.add @t3 @t7)))) % 0.39/0.62 (assume @p6 @t11) % 0.39/0.62 (assume @p7 (forall @t16 (= (tptp.multiply @t1 @t15) (tptp.add @t14 @t13)))) % 0.39/0.62 (assume @p8 (forall @t16 (= (tptp.multiply @t8 @t12) (tptp.add @t13 @t17)))) % 0.39/0.62 (assume @p9 (forall @t9 (= (tptp.multiply @t14 @t6) (tptp.multiply @t1 (tptp.multiply @t6 @t6))))) % 0.39/0.62 (assume @p10 (forall @t9 (= (tptp.multiply (tptp.multiply @t1 @t1) @t6) (tptp.multiply @t1 @t14)))) % 0.39/0.62 (assume @p11 (forall @t9 (= (tptp.multiply @t3 @t6) @t18))) % 0.39/0.62 (assume @p12 @t20) % 0.39/0.62 (assume @p13 (= @t21 tptp.additive_identity)) % 0.39/0.62 (assume @p14 (forall @t9 (= @t8 (tptp.add @t6 @t1)))) % 0.39/0.62 (assume @p15 (forall @t16 (= (tptp.add @t1 @t15) (tptp.add @t8 @t12)))) % 0.39/0.62 (assume @p16 (forall (@list @t1 @t12 @t6) (or (not (= (tptp.add @t1 @t12) @t15)) @t22))) % 0.39/0.62 (assume @p17 (forall @t23 (or (not (= (tptp.add @t12 @t1) (tptp.add @t12 @t6))) @t22))) % 0.39/0.62 (assume @p18 (forall @t16 (= @t24 (tptp.add (tptp.multiply @t14 @t12) (tptp.additive_inverse (tptp.multiply @t1 @t17)))))) % 0.39/0.62 (assume @p19 (forall (@list @t6 @t1) (not (= (tptp.multiply @t25 @t6) (tptp.multiply @t6 @t14))))) % 0.39/0.62 (assume @p20 (forall (@list @t6 @t1 @t12) (not (= (tptp.associator @t6 @t1 @t12) @t26)))) % 0.39/0.62 (assume @p21 (forall (@list @t12 @t6 @t1) (not (= (tptp.associator @t12 @t6 @t1) @t26)))) % 0.39/0.62 (assume @p22 (forall @t23 (= (tptp.multiply @t12 @t27) (tptp.multiply (tptp.multiply (tptp.multiply @t12 @t1) @t6) @t1)))) % 0.39/0.62 (assume @p23 (forall @t16 (= (tptp.multiply @t27 @t12) (tptp.multiply @t1 (tptp.multiply @t6 @t13))))) % 0.39/0.62 (assume @p24 (not (= (tptp.associator @t29 tptp.cy tptp.cz) (tptp.add (tptp.multiply @t28 tptp.cx) (tptp.multiply tptp.cx @t28))))) % 0.39/0.62 (step @p25 :rule symm :premises (@p13)) % 0.39/0.62 (step @p26 :rule instantiate :premises (@p10) :args ((@list tptp.cx @t30))) % 0.39/0.62 (step @p27 :rule eq-symm :args (@t19 @t18)) % 0.39/0.62 (step @p28 :rule cong :premises (@p27) :args (@t20)) % 0.39/0.62 (step @p29 :rule eq_resolve :premises (@p12 @p28)) % 0.39/0.62 (step @p30 :rule instantiate :premises (@p29) :args ((@list @t29 @t30))) % 0.39/0.62 (step @p31 :rule instantiate :premises (@p18) :args (@t31)) % 0.39/0.62 (step @p32 :rule eq-symm :args (@t4 tptp.additive_identity)) % 0.39/0.62 (step @p33 :rule cong :premises (@p32) :args (@t5)) % 0.39/0.62 (step @p34 :rule eq_resolve :premises (@p4 @p33)) % 0.39/0.62 (step @p35 :rule instantiate :premises (@p34) :args ((@list @t33))) % 0.39/0.62 (step @p36 :rule eq-symm :args (@t10 @t1)) % 0.39/0.62 (step @p37 :rule cong :premises (@p36) :args (@t11)) % 0.39/0.62 (step @p38 :rule eq_resolve :premises (@p6 @p37)) % 0.39/0.62 (step @p39 :rule instantiate :premises (@p38) :args ((@list @t32))) % 0.39/0.62 (step @p40 :rule instantiate :premises (@p20) :args (@t31)) % 0.39/0.62 (assume-push @p73 @t34) % 0.39/0.62 (assume-push @p74 @t36) % 0.39/0.62 (assume-push @p75 @t38) % 0.39/0.62 (assume-push @p76 @t40) % 0.39/0.62 (assume-push @p77 @t43) % 0.39/0.62 (assume-push @p78 @t44) % 0.39/0.62 (step @p47 :rule symm :premises (@p31)) % 0.39/0.62 (step @p48 :rule cong :premises (@p26) :args (@t33)) % 0.39/0.62 (step @p49 :rule symm :premises (@p30)) % 0.39/0.62 (step @p50 :rule trans :premises (@p49 @p48)) % 0.39/0.62 (step @p51 :rule refl :args (@t32)) % 0.39/0.62 (step @p52 :rule cong :premises (@p51 @p50) :args ((tptp.add @t32 @t37))) % 0.39/0.62 (step @p53 :rule symm :premises (@p39)) % 0.39/0.62 (step @p54 :rule cong :premises (@p53 @p30) :args (@t42)) % 0.39/0.62 (step @p55 :rule trans :premises (@p35 @p54 @p52 @p47)) % 0.39/0.62 (step @p56 :rule cong :premises (@p55) :args (@t21)) % 0.39/0.62 (step @p57 :rule symm :premises (@p35)) % 0.39/0.62 (step @p58 :rule symm :premises (@p54)) % 0.39/0.62 (step @p59 :rule symm :premises (@p52)) % 0.39/0.62 (step @p60 :rule trans :premises (@p31 @p59 @p58 @p57 @p25 @p56)) % 0.39/0.62 (step-pop @p79 :rule scope :premises (@p60)) % 0.39/0.62 (step-pop @p80 :rule scope :premises (@p79)) % 0.39/0.62 (step-pop @p81 :rule scope :premises (@p80)) % 0.39/0.62 (step-pop @p82 :rule scope :premises (@p81)) % 0.39/0.62 (step-pop @p83 :rule scope :premises (@p82)) % 0.39/0.62 (step-pop @p84 :rule scope :premises (@p83)) % 0.39/0.62 (step @p61 :rule process_scope :premises (@p84) :args (@t45)) % 0.39/0.62 (step @p68 :rule implies_elim :premises (@p61)) % 0.39/0.62 (step @p69 :rule cnf_and_neg :args (@t46)) % 0.39/0.62 (step @p70 :rule resolution :premises (@p69 @p68) :args (true @t46)) % 0.39/0.62 (step @p71 :rule reordering :premises (@p70) :args ((or (not @t34) (not @t36) (not @t38) (not @t40) @t45 (not @t43) (not @t44)))) % 0.39/0.62 (step @p72 false :rule chain_m_resolution :premises (@p71 @p40 @p39 @p35 @p31 @p30 @p26 @p25) :args (false (@list true false false false false false false) (@list @t45 @t44 @t43 @t40 @t38 @t36 @t34))) % 0.39/0.62 ) % 0.39/0.63 % SZS output end Proof % 0.36/0.63 % cvc5 exiting %------------------------------------------------------------------------------