%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG038-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:45:27 AM UTC 2026 % Result : Unsatisfiable 0.51s 0.75s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG038-1 : TPTP v9.2.1. Released v1.0.0. % 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 : n026.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 14:03:25 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/0.75 % SZS status Unsatisfiable % 0.51/0.75 % SZS output start Proof % 0.51/0.75 ( % 0.51/0.75 (declare-sort $$unsorted 0) % 0.51/0.75 (declare-const tptp.a $$unsorted) % 0.51/0.75 (declare-const tptp.h (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.75 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 0.51/0.75 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.75 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.75 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.75 (declare-const tptp.b $$unsorted) % 0.51/0.75 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.75 (declare-const tptp.additive_identity $$unsorted) % 0.51/0.75 (define @t1 () (@var "X" $$unsorted)) % 0.51/0.75 (define @t2 () (@list @t1)) % 0.51/0.75 (define @t3 () (@var "Y" $$unsorted)) % 0.51/0.75 (define @t4 () (@list @t1 @t3)) % 0.51/0.75 (define @t5 () (tptp.additive_inverse @t1)) % 0.51/0.75 (define @t6 () (@var "W" $$unsorted)) % 0.51/0.75 (define @t7 () (@var "V" $$unsorted)) % 0.51/0.75 (define @t8 () (tptp.sum @t1 @t7 @t6)) % 0.51/0.75 (define @t9 () (@var "Z" $$unsorted)) % 0.51/0.75 (define @t10 () (@var "U" $$unsorted)) % 0.51/0.75 (define @t11 () (tptp.sum @t10 @t9 @t6)) % 0.51/0.75 (define @t12 () (not (tptp.sum @t3 @t9 @t7))) % 0.51/0.75 (define @t13 () (not (tptp.sum @t1 @t3 @t10))) % 0.51/0.76 (define @t14 () (@list @t1 @t3 @t10 @t9 @t7 @t6)) % 0.51/0.76 (define @t15 () (forall @t14 (or @t13 @t12 (not @t11) @t8))) % 0.51/0.76 (define @t16 () (tptp.product @t1 @t7 @t6)) % 0.51/0.76 (define @t17 () (tptp.product @t10 @t9 @t6)) % 0.51/0.76 (define @t18 () (not (tptp.product @t3 @t9 @t7))) % 0.51/0.76 (define @t19 () (not (tptp.product @t1 @t3 @t10))) % 0.51/0.76 (define @t20 () (@var "V4" $$unsorted)) % 0.51/0.76 (define @t21 () (@var "V2" $$unsorted)) % 0.51/0.76 (define @t22 () (@var "V1" $$unsorted)) % 0.51/0.76 (define @t23 () (tptp.sum @t22 @t21 @t20)) % 0.51/0.76 (define @t24 () (@var "V3" $$unsorted)) % 0.51/0.76 (define @t25 () (tptp.product @t1 @t24 @t20)) % 0.51/0.76 (define @t26 () (not (tptp.sum @t3 @t9 @t24))) % 0.51/0.76 (define @t27 () (not (tptp.product @t1 @t9 @t21))) % 0.51/0.76 (define @t28 () (not (tptp.product @t1 @t3 @t22))) % 0.51/0.76 (define @t29 () (@list @t1 @t3 @t22 @t9 @t21 @t24 @t20)) % 0.51/0.76 (define @t30 () (not @t23)) % 0.51/0.76 (define @t31 () (tptp.product @t24 @t1 @t20)) % 0.51/0.76 (define @t32 () (not (tptp.product @t9 @t1 @t21))) % 0.51/0.76 (define @t33 () (not (tptp.product @t3 @t1 @t22))) % 0.51/0.76 (define @t34 () (@list @t3 @t1 @t22 @t9 @t21 @t24 @t20)) % 0.51/0.76 (define @t35 () (= @t10 @t7)) % 0.51/0.76 (define @t36 () (@list @t1 @t3 @t10 @t7)) % 0.51/0.76 (define @t37 () (tptp.product @t1 (tptp.h @t1 @t3) @t3)) % 0.51/0.76 (define @t38 () (not (= @t1 tptp.additive_identity))) % 0.51/0.76 (define @t39 () (or @t38 @t37)) % 0.51/0.76 (define @t40 () (forall @t4 @t39)) % 0.51/0.76 (define @t41 () (@list tptp.a)) % 0.51/0.76 (define @t42 () (= tptp.additive_identity tptp.a)) % 0.51/0.76 (define @t43 () (tptp.sum tptp.additive_identity tptp.additive_identity tptp.a)) % 0.51/0.76 (define @t44 () (not @t43)) % 0.51/0.76 (define @t45 () (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity)) % 0.51/0.76 (define @t46 () (not @t45)) % 0.51/0.76 (define @t47 () (or @t46 @t44 @t42)) % 0.51/0.76 (define @t48 () (tptp.sum tptp.a tptp.additive_identity tptp.a)) % 0.51/0.76 (define @t49 () (not @t48)) % 0.51/0.76 (define @t50 () (tptp.sum tptp.a tptp.additive_identity tptp.additive_identity)) % 0.51/0.76 (define @t51 () (not @t50)) % 0.51/0.76 (define @t52 () (or @t51 @t46 @t49 @t43)) % 0.51/0.76 (define @t53 () (tptp.h tptp.additive_identity tptp.a)) % 0.51/0.76 (define @t54 () (tptp.product tptp.additive_identity (tptp.h tptp.additive_identity @t3) @t3)) % 0.51/0.76 (define @t55 () (not (= tptp.additive_identity tptp.additive_identity))) % 0.51/0.76 (define @t56 () (or @t55 @t54)) % 0.51/0.76 (define @t57 () (@list @t3)) % 0.51/0.76 (define @t58 () (not (= tptp.additive_identity @t1))) % 0.51/0.76 (define @t59 () (or @t58 @t58 @t37)) % 0.51/0.76 (define @t60 () (or @t58 @t37)) % 0.51/0.76 (define @t61 () (forall @t2 @t60)) % 0.51/0.76 (define @t62 () (forall @t57 @t61)) % 0.51/0.76 (define @t63 () (forall (@list @t3 @t1) @t60)) % 0.51/0.76 (define @t64 () (tptp.sum tptp.a tptp.a tptp.a)) % 0.51/0.76 (define @t65 () (tptp.product tptp.additive_identity @t53 tptp.a)) % 0.51/0.76 (define @t66 () (not @t65)) % 0.51/0.76 (define @t67 () (or @t66 @t66 @t46 @t66 @t64)) % 0.51/0.76 (define @t68 () (tptp.additive_inverse tptp.a)) % 0.51/0.76 (define @t69 () (tptp.sum tptp.a @t68 tptp.additive_identity)) % 0.51/0.76 (define @t70 () (not @t69)) % 0.51/0.76 (define @t71 () (not @t64)) % 0.51/0.76 (define @t72 () (or @t71 @t70 @t70 @t50)) % 0.51/0.76 (define @t73 () (not @t72)) % 0.51/0.76 (assume @p1 (forall @t2 (tptp.sum tptp.additive_identity @t1 @t1))) % 0.51/0.76 (assume @p2 (forall @t2 (tptp.sum @t1 tptp.additive_identity @t1))) % 0.51/0.76 (assume @p3 (forall @t4 (tptp.product @t1 @t3 (tptp.multiply @t1 @t3)))) % 0.51/0.76 (assume @p4 (forall @t4 (tptp.sum @t1 @t3 (tptp.add @t1 @t3)))) % 0.51/0.76 (assume @p5 (forall @t2 (tptp.sum @t5 @t1 tptp.additive_identity))) % 0.51/0.76 (assume @p6 (forall @t2 (tptp.sum @t1 @t5 tptp.additive_identity))) % 0.51/0.76 (assume @p7 @t15) % 0.51/0.76 (assume @p8 (forall @t14 (or @t13 @t12 (not @t8) @t11))) % 0.51/0.76 (assume @p9 (forall (@list @t1 @t3 @t9) (or (not (tptp.sum @t1 @t3 @t9)) (tptp.sum @t3 @t1 @t9)))) % 0.51/0.76 (assume @p10 (forall @t14 (or @t19 @t18 (not @t17) @t16))) % 0.51/0.76 (assume @p11 (forall @t14 (or @t19 @t18 (not @t16) @t17))) % 0.51/0.76 (assume @p12 (forall @t29 (or @t28 @t27 @t26 (not @t25) @t23))) % 0.51/0.76 (assume @p13 (forall @t29 (or @t28 @t27 @t26 @t30 @t25))) % 0.51/0.76 (assume @p14 (forall @t34 (or @t33 @t32 @t26 (not @t31) @t23))) % 0.51/0.76 (assume @p15 (forall @t34 (or @t33 @t32 @t26 @t30 @t31))) % 0.51/0.76 (assume @p16 (forall @t36 (or @t13 (not (tptp.sum @t1 @t3 @t7)) @t35))) % 0.51/0.76 (assume @p17 (forall @t36 (or @t19 (not (tptp.product @t1 @t3 @t7)) @t35))) % 0.51/0.76 (assume @p18 @t40) % 0.51/0.76 (assume @p19 (tptp.product tptp.a tptp.b tptp.additive_identity)) % 0.51/0.76 (assume @p20 (not (= tptp.a tptp.additive_identity))) % 0.51/0.76 (assume @p21 (not (= tptp.b tptp.additive_identity))) % 0.51/0.76 (step @p22 :rule instantiate :premises (@p6) :args (@t41)) % 0.51/0.76 (step @p23 :rule instantiate :premises (@p8) :args ((@list tptp.a tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.a))) % 0.51/0.76 (step @p24 :rule instantiate :premises (@p2) :args (@t41)) % 0.51/0.76 (step @p25 :rule instantiate :premises (@p16) :args ((@list tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.a))) % 0.51/0.76 (step @p26 :rule instantiate :premises (@p1) :args ((@list tptp.additive_identity))) % 0.51/0.76 (step @p27 :rule symm :premises (@p20)) % 0.51/0.76 (step @p28 :rule cnf_or_pos :args (@t47)) % 0.51/0.76 (step @p29 :rule reordering :premises (@p28) :args ((or @t42 @t46 @t44 (not @t47)))) % 0.51/0.76 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p26 @p25) :args (@t44 (@list true false false) (@list @t42 @t45 @t47))) % 0.51/0.76 (step @p31 :rule cnf_or_pos :args (@t52)) % 0.51/0.76 (step @p32 :rule reordering :premises (@p31) :args ((or @t46 @t43 @t49 @t51 (not @t52)))) % 0.51/0.76 (step @p33 :rule chain_m_resolution :premises (@p32 @p26 @p30 @p24 @p23) :args (@t51 (@list false true false false) (@list @t45 @t43 @t48 @t52))) % 0.51/0.76 (step @p34 :rule instantiate :premises (@p14) :args ((@list tptp.additive_identity @t53 tptp.a tptp.additive_identity tptp.a tptp.additive_identity tptp.a))) % 0.51/0.76 (step @p35 :rule aci_norm :args ((= (or false @t54) @t54))) % 0.51/0.76 (step @p36 :rule refl :args (@t54)) % 0.51/0.76 (step @p37 :rule evaluate :args ((not true))) % 0.51/0.76 (step @p38 :rule eq-refl :args (tptp.additive_identity)) % 0.51/0.76 (step @p39 :rule cong :premises (@p38) :args (@t55)) % 0.51/0.76 (step @p40 :rule trans :premises (@p39 @p37)) % 0.51/0.76 (step @p41 :rule nary_cong :premises (@p40 @p36) :args (@t56)) % 0.51/0.76 (step @p42 :rule trans :premises (@p41 @p35)) % 0.51/0.76 (step @p43 :rule cong :premises (@p42) :args ((forall @t57 @t56))) % 0.51/0.76 (step @p44 :rule quant-var-elim-eq :args ((= (forall @t2 (or @t38 @t58 @t37)) @t56))) % 0.51/0.76 (step @p45 :rule refl :args (@t37)) % 0.51/0.76 (step @p46 :rule refl :args (@t58)) % 0.51/0.76 (step @p47 :rule eq-symm :args (tptp.additive_identity @t1)) % 0.51/0.76 (step @p48 :rule cong :premises (@p47) :args (@t58)) % 0.51/0.76 (step @p49 :rule nary_cong :premises (@p48 @p46 @p45) :args (@t59)) % 0.51/0.76 (step @p50 :rule aci_norm :args ((= @t60 @t59))) % 0.51/0.76 (step @p51 :rule trans :premises (@p50 @p49)) % 0.51/0.76 (step @p52 :rule cong :premises (@p51) :args (@t61)) % 0.51/0.76 (step @p53 :rule trans :premises (@p52 @p44)) % 0.51/0.76 (step @p54 :rule cong :premises (@p53) :args (@t62)) % 0.51/0.76 (step @p55 :rule quant-merge-prenex :args ((= @t62 @t63))) % 0.51/0.76 (step @p56 :rule symm :premises (@p55)) % 0.51/0.76 (step @p57 :rule quant_var_reordering :args ((= (forall @t4 @t60) @t63))) % 0.51/0.76 (step @p58 :rule trans :premises (@p57 @p56 @p54)) % 0.51/0.76 (step @p59 :rule trans :premises (@p58 @p43)) % 0.51/0.76 (step @p60 :rule refl :args (@t37)) % 0.51/0.76 (step @p61 :rule eq-symm :args (@t1 tptp.additive_identity)) % 0.51/0.76 (step @p62 :rule cong :premises (@p61) :args (@t38)) % 0.51/0.76 (step @p63 :rule nary_cong :premises (@p62 @p60) :args (@t39)) % 0.51/0.76 (step @p64 :rule cong :premises (@p63) :args (@t40)) % 0.51/0.76 (step @p65 :rule trans :premises (@p64 @p59)) % 0.51/0.76 (step @p66 :rule eq_resolve :premises (@p18 @p65)) % 0.51/0.76 (step @p67 :rule instantiate :premises (@p66) :args (@t41)) % 0.51/0.76 (step @p68 :rule cnf_or_pos :args (@t67)) % 0.51/0.76 (step @p69 :rule factoring :premises (@p68)) % 0.51/0.76 (step @p70 :rule reordering :premises (@p69) :args ((or @t64 @t46 @t66 (not @t67)))) % 0.51/0.76 (step @p71 :rule chain_m_resolution :premises (@p70 @p26 @p67 @p34) :args (@t64 (@list false false false) (@list @t45 @t65 @t67))) % 0.51/0.76 (step @p72 :rule cnf_or_pos :args (@t72)) % 0.51/0.76 (step @p73 :rule factoring :premises (@p72)) % 0.51/0.76 (step @p74 :rule reordering :premises (@p73) :args ((or @t71 @t50 @t70 @t73))) % 0.51/0.76 (step @p75 :rule chain_m_resolution :premises (@p74 @p71 @p33 @p22) :args (@t73 (@list false true false) (@list @t64 @t50 @t69))) % 0.51/0.76 (assume-push @p82 @t15) % 0.51/0.76 (step @p77 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.a tptp.a @t68 tptp.additive_identity tptp.additive_identity))) % 0.51/0.76 (step-pop @p83 :rule scope :premises (@p77)) % 0.51/0.76 (step @p78 :rule process_scope :premises (@p83) :args (@t72)) % 0.51/0.76 (step @p80 :rule implies_elim :premises (@p78)) % 0.51/0.76 (step @p81 false :rule chain_m_resolution :premises (@p80 @p75 @p7) :args (false (@list true false) (@list @t72 @t15))) % 0.51/0.76 ) % 0.51/0.76 % SZS output end Proof % 0.51/0.76 % cvc5 exiting %------------------------------------------------------------------------------