%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG019-7 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:45:23 AM UTC 2026 % Result : Unsatisfiable 0.43s 0.65s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG019-7 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.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 13:57:10 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.43/0.65 % SZS status Unsatisfiable % 0.43/0.65 % SZS output start Proof % 0.43/0.65 ( % 0.43/0.65 (declare-sort $$unsorted 0) % 0.43/0.65 (declare-const tptp.u $$unsorted) % 0.43/0.65 (declare-const tptp.v $$unsorted) % 0.43/0.65 (declare-const tptp.y $$unsorted) % 0.43/0.65 (declare-const tptp.commutator (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.65 (declare-const tptp.associator (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.65 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 0.43/0.65 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.65 (declare-const tptp.x $$unsorted) % 0.43/0.65 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.65 (declare-const tptp.additive_identity $$unsorted) % 0.43/0.65 (define @t1 () (@var "X" $$unsorted)) % 0.43/0.65 (define @t2 () (@list @t1)) % 0.43/0.65 (define @t3 () (tptp.additive_inverse @t1)) % 0.43/0.65 (define @t4 () (@var "Z" $$unsorted)) % 0.43/0.65 (define @t5 () (tptp.multiply @t1 @t4)) % 0.43/0.65 (define @t6 () (@var "Y" $$unsorted)) % 0.43/0.65 (define @t7 () (tptp.multiply @t1 @t6)) % 0.43/0.65 (define @t8 () (tptp.add @t6 @t4)) % 0.43/0.65 (define @t9 () (@list @t1 @t6 @t4)) % 0.43/0.65 (define @t10 () (tptp.multiply @t6 @t4)) % 0.43/0.65 (define @t11 () (tptp.add @t1 @t6)) % 0.43/0.65 (define @t12 () (@list @t1 @t6)) % 0.43/0.65 (define @t13 () (forall @t9 (= (tptp.add @t1 @t8) (tptp.add @t11 @t4)))) % 0.43/0.65 (define @t14 () (tptp.additive_inverse @t7)) % 0.43/0.65 (define @t15 () (tptp.additive_inverse @t6)) % 0.43/0.65 (define @t16 () (tptp.multiply @t3 @t6)) % 0.43/0.65 (define @t17 () (forall @t12 (= @t16 @t14))) % 0.43/0.65 (define @t18 () (tptp.additive_inverse @t5)) % 0.43/0.65 (define @t19 () (tptp.additive_inverse @t4)) % 0.43/0.65 (define @t20 () (tptp.additive_inverse @t10)) % 0.43/0.65 (define @t21 () (tptp.associator tptp.x tptp.y tptp.v)) % 0.43/0.65 (define @t22 () (tptp.add tptp.u tptp.v)) % 0.43/0.65 (define @t23 () (tptp.multiply tptp.y tptp.u)) % 0.43/0.65 (define @t24 () (tptp.additive_inverse (tptp.multiply tptp.x @t23))) % 0.43/0.65 (define @t25 () (tptp.multiply tptp.x tptp.y)) % 0.43/0.65 (define @t26 () (tptp.multiply @t25 tptp.u)) % 0.43/0.65 (define @t27 () (tptp.multiply tptp.y tptp.v)) % 0.43/0.65 (define @t28 () (tptp.additive_inverse (tptp.multiply tptp.x @t27))) % 0.43/0.65 (define @t29 () (tptp.multiply @t25 tptp.v)) % 0.43/0.65 (define @t30 () (tptp.additive_inverse tptp.x)) % 0.43/0.65 (define @t31 () (tptp.multiply tptp.y @t22)) % 0.43/0.65 (define @t32 () (tptp.additive_inverse (tptp.multiply tptp.x @t31))) % 0.43/0.65 (define @t33 () (tptp.add @t32 @t29)) % 0.43/0.65 (define @t34 () (tptp.add @t33 @t26)) % 0.43/0.65 (define @t35 () (tptp.add @t32 (tptp.add @t29 @t26))) % 0.43/0.65 (define @t36 () (= @t35 @t34)) % 0.43/0.65 (assume @p1 (forall @t2 (= (tptp.add tptp.additive_identity @t1) @t1))) % 0.43/0.65 (assume @p2 (forall @t2 (= (tptp.add @t1 tptp.additive_identity) @t1))) % 0.43/0.65 (assume @p3 (forall @t2 (= (tptp.multiply tptp.additive_identity @t1) tptp.additive_identity))) % 0.43/0.65 (assume @p4 (forall @t2 (= (tptp.multiply @t1 tptp.additive_identity) tptp.additive_identity))) % 0.43/0.65 (assume @p5 (forall @t2 (= (tptp.add @t3 @t1) tptp.additive_identity))) % 0.43/0.65 (assume @p6 (forall @t2 (= (tptp.add @t1 @t3) tptp.additive_identity))) % 0.43/0.65 (assume @p7 (forall @t2 (= (tptp.additive_inverse @t3) @t1))) % 0.43/0.65 (assume @p8 (forall @t9 (= (tptp.multiply @t1 @t8) (tptp.add @t7 @t5)))) % 0.43/0.65 (assume @p9 (forall @t9 (= (tptp.multiply @t11 @t4) (tptp.add @t5 @t10)))) % 0.43/0.65 (assume @p10 (forall @t12 (= @t11 (tptp.add @t6 @t1)))) % 0.43/0.65 (assume @p11 @t13) % 0.43/0.65 (assume @p12 (forall @t12 (= (tptp.multiply @t7 @t6) (tptp.multiply @t1 (tptp.multiply @t6 @t6))))) % 0.43/0.65 (assume @p13 (forall @t12 (= (tptp.multiply (tptp.multiply @t1 @t1) @t6) (tptp.multiply @t1 @t7)))) % 0.43/0.65 (assume @p14 (forall @t9 (= (tptp.associator @t1 @t6 @t4) (tptp.add (tptp.multiply @t7 @t4) (tptp.additive_inverse (tptp.multiply @t1 @t10)))))) % 0.43/0.65 (assume @p15 (forall @t12 (= (tptp.commutator @t1 @t6) (tptp.add (tptp.multiply @t6 @t1) @t14)))) % 0.43/0.65 (assume @p16 (forall @t12 (= (tptp.multiply @t3 @t15) @t7))) % 0.43/0.65 (assume @p17 @t17) % 0.43/0.65 (assume @p18 (forall @t12 (= (tptp.multiply @t1 @t15) @t14))) % 0.43/0.65 (assume @p19 (forall @t9 (= (tptp.multiply @t1 (tptp.add @t6 @t19)) (tptp.add @t7 @t18)))) % 0.43/0.65 (assume @p20 (forall @t9 (= (tptp.multiply (tptp.add @t1 @t15) @t4) (tptp.add @t5 @t20)))) % 0.43/0.65 (assume @p21 (forall @t9 (= (tptp.multiply @t3 @t8) (tptp.add @t14 @t18)))) % 0.43/0.65 (assume @p22 (forall @t9 (= (tptp.multiply @t11 @t19) (tptp.add @t18 @t20)))) % 0.43/0.65 (assume @p23 (not (= (tptp.associator tptp.x tptp.y @t22) (tptp.add (tptp.associator tptp.x tptp.y tptp.u) @t21)))) % 0.43/0.65 (step @p24 :rule false_intro :premises (@p23)) % 0.43/0.65 (step @p25 :rule refl :args (@t21)) % 0.43/0.65 (step @p26 :rule instantiate :premises (@p14) :args ((@list tptp.x tptp.y tptp.u))) % 0.43/0.65 (step @p27 :rule symm :premises (@p26)) % 0.43/0.65 (step @p28 :rule cong :premises (@p27 @p25) :args ((tptp.add (tptp.add @t26 @t24) @t21))) % 0.43/0.65 (step @p29 :rule instantiate :premises (@p11) :args ((@list @t26 @t24 @t21))) % 0.43/0.65 (step @p30 :rule instantiate :premises (@p10) :args ((@list @t26 (tptp.add @t24 @t21)))) % 0.43/0.65 (step @p31 :rule symm :premises (@p30)) % 0.43/0.65 (step @p32 :rule refl :args (@t26)) % 0.43/0.65 (step @p33 :rule instantiate :premises (@p10) :args ((@list @t24 @t21))) % 0.43/0.65 (step @p34 :rule symm :premises (@p33)) % 0.43/0.65 (step @p35 :rule cong :premises (@p34 @p32) :args ((tptp.add (tptp.add @t21 @t24) @t26))) % 0.43/0.65 (step @p36 :rule instantiate :premises (@p14) :args ((@list tptp.x tptp.y tptp.v))) % 0.43/0.65 (step @p37 :rule symm :premises (@p36)) % 0.43/0.65 (step @p38 :rule instantiate :premises (@p10) :args ((@list @t29 @t28))) % 0.43/0.65 (step @p39 :rule symm :premises (@p38)) % 0.43/0.65 (step @p40 :rule trans :premises (@p39 @p37)) % 0.43/0.65 (step @p41 :rule refl :args (@t24)) % 0.43/0.65 (step @p42 :rule cong :premises (@p41 @p40) :args ((tptp.add @t24 (tptp.add @t28 @t29)))) % 0.43/0.65 (step @p43 :rule instantiate :premises (@p11) :args ((@list @t24 @t28 @t29))) % 0.43/0.65 (step @p44 :rule symm :premises (@p43)) % 0.43/0.65 (step @p45 :rule refl :args (@t29)) % 0.43/0.65 (step @p46 :rule eq-symm :args (@t16 @t14)) % 0.43/0.65 (step @p47 :rule cong :premises (@p46) :args (@t17)) % 0.43/0.65 (step @p48 :rule eq_resolve :premises (@p17 @p47)) % 0.43/0.65 (step @p49 :rule instantiate :premises (@p48) :args ((@list tptp.x @t27))) % 0.43/0.65 (step @p50 :rule symm :premises (@p49)) % 0.43/0.65 (step @p51 :rule instantiate :premises (@p48) :args ((@list tptp.x @t23))) % 0.43/0.65 (step @p52 :rule symm :premises (@p51)) % 0.43/0.65 (step @p53 :rule cong :premises (@p52 @p50) :args ((tptp.add (tptp.multiply @t30 @t23) (tptp.multiply @t30 @t27)))) % 0.43/0.65 (step @p54 :rule instantiate :premises (@p8) :args ((@list @t30 @t23 @t27))) % 0.43/0.65 (step @p55 :rule instantiate :premises (@p8) :args ((@list tptp.y tptp.u tptp.v))) % 0.43/0.65 (step @p56 :rule refl :args (@t30)) % 0.43/0.65 (step @p57 :rule cong :premises (@p56 @p55) :args ((tptp.multiply @t30 @t31))) % 0.43/0.65 (step @p58 :rule instantiate :premises (@p48) :args ((@list tptp.x @t31))) % 0.43/0.65 (step @p59 :rule trans :premises (@p58 @p57 @p54 @p53)) % 0.43/0.65 (step @p60 :rule cong :premises (@p59 @p45) :args (@t33)) % 0.43/0.65 (step @p61 :rule trans :premises (@p60 @p44 @p42)) % 0.43/0.65 (step @p62 :rule trans :premises (@p61 @p33)) % 0.43/0.65 (step @p63 :rule cong :premises (@p62 @p32) :args (@t34)) % 0.43/0.65 (step @p64 :rule trans :premises (@p63 @p35 @p31 @p29 @p28)) % 0.43/0.65 (step @p65 :rule instantiate :premises (@p14) :args ((@list tptp.x tptp.y @t22))) % 0.43/0.65 (step @p66 :rule symm :premises (@p65)) % 0.43/0.65 (step @p67 :rule instantiate :premises (@p10) :args ((@list (tptp.multiply @t25 @t22) @t32))) % 0.43/0.65 (step @p68 :rule symm :premises (@p67)) % 0.43/0.65 (step @p69 :rule instantiate :premises (@p10) :args ((@list tptp.u tptp.v))) % 0.43/0.65 (step @p70 :rule symm :premises (@p69)) % 0.43/0.65 (step @p71 :rule refl :args (@t25)) % 0.43/0.65 (step @p72 :rule cong :premises (@p71 @p70) :args ((tptp.multiply @t25 (tptp.add tptp.v tptp.u)))) % 0.43/0.65 (step @p73 :rule instantiate :premises (@p8) :args ((@list @t25 tptp.v tptp.u))) % 0.43/0.65 (step @p74 :rule symm :premises (@p73)) % 0.43/0.65 (step @p75 :rule trans :premises (@p74 @p72)) % 0.43/0.65 (step @p76 :rule refl :args (@t32)) % 0.43/0.65 (step @p77 :rule cong :premises (@p76 @p75) :args (@t35)) % 0.43/0.65 (step @p78 :rule trans :premises (@p77 @p68 @p66)) % 0.43/0.65 (step @p79 :rule cong :premises (@p78 @p64) :args (@t36)) % 0.43/0.65 (step @p80 :rule trans :premises (@p79 @p24)) % 0.43/0.65 (step @p81 :rule false_elim :premises (@p80)) % 0.43/0.65 (assume-push @p88 @t13) % 0.43/0.65 (step @p83 :rule instantiate :premises (@p11) :args ((@list @t32 @t29 @t26))) % 0.43/0.65 (step-pop @p89 :rule scope :premises (@p83)) % 0.43/0.65 (step @p84 :rule process_scope :premises (@p89) :args (@t36)) % 0.43/0.65 (step @p86 :rule implies_elim :premises (@p84)) % 0.43/0.65 (step @p87 false :rule chain_m_resolution :premises (@p86 @p81 @p11) :args (false (@list true false) (@list @t36 @t13))) % 0.43/0.65 ) % 0.43/0.65 % SZS output end Proof % 0.43/0.66 % cvc5 exiting %------------------------------------------------------------------------------