%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG001-4 : 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 : n005.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 08:45:19 AM UTC 2026 % Result : Unsatisfiable 0.45s 0.69s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG001-4 : 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 : n005.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 13:54:18 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.69 % SZS status Unsatisfiable % 0.45/0.69 % SZS output start Proof % 0.45/0.69 ( % 0.45/0.69 (declare-sort $$unsorted 0) % 0.45/0.69 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.a $$unsorted) % 0.45/0.69 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.additive_identity $$unsorted) % 0.45/0.69 (define @t1 () (@var "X" $$unsorted)) % 0.45/0.69 (define @t2 () (@list @t1)) % 0.45/0.69 (define @t3 () (@var "Y" $$unsorted)) % 0.45/0.69 (define @t4 () (@list @t1 @t3)) % 0.45/0.69 (define @t5 () (tptp.additive_inverse @t1)) % 0.45/0.69 (define @t6 () (@var "W" $$unsorted)) % 0.45/0.69 (define @t7 () (@var "V" $$unsorted)) % 0.45/0.69 (define @t8 () (tptp.sum @t1 @t7 @t6)) % 0.45/0.69 (define @t9 () (@var "Z" $$unsorted)) % 0.45/0.69 (define @t10 () (@var "U" $$unsorted)) % 0.45/0.69 (define @t11 () (tptp.sum @t10 @t9 @t6)) % 0.45/0.69 (define @t12 () (not (tptp.sum @t3 @t9 @t7))) % 0.45/0.69 (define @t13 () (not (tptp.sum @t1 @t3 @t10))) % 0.45/0.69 (define @t14 () (@list @t1 @t3 @t10 @t9 @t7 @t6)) % 0.45/0.69 (define @t15 () (not (tptp.sum @t1 @t3 @t9))) % 0.45/0.69 (define @t16 () (tptp.product @t1 @t7 @t6)) % 0.45/0.69 (define @t17 () (tptp.product @t10 @t9 @t6)) % 0.45/0.69 (define @t18 () (not (tptp.product @t3 @t9 @t7))) % 0.45/0.69 (define @t19 () (not (tptp.product @t1 @t3 @t10))) % 0.45/0.69 (define @t20 () (@var "V4" $$unsorted)) % 0.45/0.69 (define @t21 () (@var "V2" $$unsorted)) % 0.45/0.69 (define @t22 () (@var "V1" $$unsorted)) % 0.45/0.69 (define @t23 () (tptp.sum @t22 @t21 @t20)) % 0.45/0.69 (define @t24 () (@var "V3" $$unsorted)) % 0.45/0.69 (define @t25 () (tptp.product @t1 @t24 @t20)) % 0.45/0.69 (define @t26 () (not (tptp.sum @t3 @t9 @t24))) % 0.45/0.69 (define @t27 () (not (tptp.product @t1 @t9 @t21))) % 0.45/0.69 (define @t28 () (not (tptp.product @t1 @t3 @t22))) % 0.45/0.69 (define @t29 () (@list @t1 @t3 @t22 @t9 @t21 @t24 @t20)) % 0.45/0.69 (define @t30 () (not @t23)) % 0.45/0.69 (define @t31 () (tptp.product @t24 @t1 @t20)) % 0.45/0.69 (define @t32 () (not (tptp.product @t9 @t1 @t21))) % 0.45/0.69 (define @t33 () (not (tptp.product @t3 @t1 @t22))) % 0.45/0.69 (define @t34 () (@list @t3 @t1 @t22 @t9 @t21 @t24 @t20)) % 0.45/0.69 (define @t35 () (= @t10 @t7)) % 0.45/0.69 (define @t36 () (@list @t1 @t3 @t10 @t7)) % 0.45/0.69 (define @t37 () (@list @t1 @t3 @t9 @t6)) % 0.45/0.69 (define @t38 () (forall @t37 (or @t15 (not (tptp.sum @t1 @t6 @t9)) (= @t3 @t6)))) % 0.45/0.69 (define @t39 () (tptp.product tptp.a tptp.additive_identity tptp.additive_identity)) % 0.45/0.69 (define @t40 () (tptp.multiply tptp.a tptp.additive_identity)) % 0.45/0.69 (define @t41 () (not (tptp.sum @t40 @t40 tptp.additive_identity))) % 0.45/0.69 (define @t42 () (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity)) % 0.45/0.69 (define @t43 () (not @t42)) % 0.45/0.69 (define @t44 () (tptp.product tptp.a tptp.additive_identity @t40)) % 0.45/0.69 (define @t45 () (not @t44)) % 0.45/0.69 (define @t46 () (or @t45 @t45 @t43 @t41 @t39)) % 0.45/0.69 (define @t47 () (tptp.multiply tptp.additive_identity tptp.additive_identity)) % 0.45/0.69 (define @t48 () (tptp.sum @t47 tptp.additive_identity @t47)) % 0.45/0.69 (define @t49 () (not @t48)) % 0.45/0.69 (define @t50 () (tptp.sum @t47 @t47 @t47)) % 0.45/0.69 (define @t51 () (not @t50)) % 0.45/0.69 (define @t52 () (or @t51 @t49 (= @t47 tptp.additive_identity))) % 0.45/0.69 (define @t53 () (= tptp.additive_identity @t47)) % 0.45/0.69 (define @t54 () (or @t51 @t49 @t53)) % 0.45/0.69 (define @t55 () (tptp.product tptp.additive_identity tptp.additive_identity @t47)) % 0.45/0.69 (define @t56 () (not @t55)) % 0.45/0.69 (define @t57 () (or @t56 @t56 @t43 @t56 @t50)) % 0.45/0.69 (define @t58 () (@list false false false)) % 0.45/0.69 (define @t59 () (tptp.sum @t40 @t40 @t40)) % 0.45/0.69 (define @t60 () (or @t45 @t45 @t43 @t45 @t59)) % 0.45/0.69 (define @t61 () (tptp.sum @t47 @t40 @t40)) % 0.45/0.69 (define @t62 () (tptp.sum tptp.additive_identity tptp.a tptp.a)) % 0.45/0.69 (define @t63 () (not @t62)) % 0.45/0.69 (define @t64 () (or @t56 @t45 @t63 @t45 @t61)) % 0.45/0.69 (define @t65 () (tptp.sum @t40 @t47 @t40)) % 0.45/0.69 (define @t66 () (not @t61)) % 0.45/0.69 (define @t67 () (or @t66 @t65)) % 0.45/0.69 (define @t68 () (= @t47 @t40)) % 0.45/0.69 (define @t69 () (not @t59)) % 0.45/0.69 (define @t70 () (not @t65)) % 0.45/0.69 (define @t71 () (or @t70 @t69 @t68)) % 0.45/0.69 (assume @p1 (forall @t2 (tptp.sum tptp.additive_identity @t1 @t1))) % 0.45/0.69 (assume @p2 (forall @t2 (tptp.sum @t1 tptp.additive_identity @t1))) % 0.45/0.69 (assume @p3 (forall @t4 (tptp.product @t1 @t3 (tptp.multiply @t1 @t3)))) % 0.45/0.69 (assume @p4 (forall @t4 (tptp.sum @t1 @t3 (tptp.add @t1 @t3)))) % 0.45/0.69 (assume @p5 (forall @t2 (tptp.sum @t5 @t1 tptp.additive_identity))) % 0.45/0.69 (assume @p6 (forall @t2 (tptp.sum @t1 @t5 tptp.additive_identity))) % 0.45/0.69 (assume @p7 (forall @t14 (or @t13 @t12 (not @t11) @t8))) % 0.45/0.69 (assume @p8 (forall @t14 (or @t13 @t12 (not @t8) @t11))) % 0.45/0.69 (assume @p9 (forall (@list @t1 @t3 @t9) (or @t15 (tptp.sum @t3 @t1 @t9)))) % 0.45/0.69 (assume @p10 (forall @t14 (or @t19 @t18 (not @t17) @t16))) % 0.45/0.69 (assume @p11 (forall @t14 (or @t19 @t18 (not @t16) @t17))) % 0.45/0.69 (assume @p12 (forall @t29 (or @t28 @t27 @t26 (not @t25) @t23))) % 0.45/0.69 (assume @p13 (forall @t29 (or @t28 @t27 @t26 @t30 @t25))) % 0.45/0.69 (assume @p14 (forall @t34 (or @t33 @t32 @t26 (not @t31) @t23))) % 0.45/0.69 (assume @p15 (forall @t34 (or @t33 @t32 @t26 @t30 @t31))) % 0.45/0.69 (assume @p16 (forall @t36 (or @t13 (not (tptp.sum @t1 @t3 @t7)) @t35))) % 0.45/0.69 (assume @p17 (forall @t36 (or @t19 (not (tptp.product @t1 @t3 @t7)) @t35))) % 0.45/0.69 (assume @p18 @t38) % 0.45/0.69 (assume @p19 (forall @t37 (or @t15 (not (tptp.sum @t6 @t3 @t9)) (= @t1 @t6)))) % 0.45/0.69 (assume @p20 (not @t39)) % 0.45/0.69 (step @p21 :rule evaluate :args ((= true false))) % 0.45/0.69 (step @p22 :rule instantiate :premises (@p13) :args ((@list tptp.a tptp.additive_identity @t40 tptp.additive_identity @t40 tptp.additive_identity tptp.additive_identity))) % 0.45/0.69 (step @p23 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.additive_identity))) % 0.45/0.69 (step @p24 :rule instantiate :premises (@p1) :args ((@list tptp.additive_identity))) % 0.45/0.69 (step @p25 :rule cnf_or_pos :args (@t46)) % 0.45/0.69 (step @p26 :rule factoring :premises (@p25)) % 0.45/0.69 (step @p27 :rule reordering :premises (@p26) :args ((or @t39 @t43 @t45 @t41 (not @t46)))) % 0.45/0.69 (step @p28 :rule chain_m_resolution :premises (@p27 @p20 @p24 @p23 @p22) :args (@t41 (@list true false false false) (@list @t39 @t42 @t44 @t46))) % 0.45/0.69 (step @p29 :rule false_intro :premises (@p28)) % 0.45/0.69 (step @p30 :rule eq-symm :args (@t47 tptp.additive_identity)) % 0.45/0.69 (step @p31 :rule refl :args (@t49)) % 0.45/0.69 (step @p32 :rule refl :args (@t51)) % 0.45/0.69 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30) :args (@t52)) % 0.45/0.69 (step @p34 :rule refl :args (@t38)) % 0.45/0.69 (step @p35 :rule cong :premises (@p34 @p33) :args ((=> @t38 @t52))) % 0.45/0.69 (assume-push @p81 @t38) % 0.45/0.69 (step @p37 :rule instantiate :premises (@p18) :args ((@list @t47 @t47 @t47 tptp.additive_identity))) % 0.45/0.69 (step-pop @p82 :rule scope :premises (@p37)) % 0.45/0.69 (step @p38 :rule process_scope :premises (@p82) :args (@t52)) % 0.45/0.69 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 0.45/0.69 (step @p41 :rule implies_elim :premises (@p40)) % 0.45/0.69 (step @p42 :rule chain_m_resolution :premises (@p41 @p18) :args (@t54 (@list false) (@list @t38))) % 0.45/0.69 (step @p43 :rule instantiate :premises (@p2) :args ((@list @t47))) % 0.45/0.69 (step @p44 :rule instantiate :premises (@p12) :args ((@list tptp.additive_identity tptp.additive_identity @t47 tptp.additive_identity @t47 tptp.additive_identity @t47))) % 0.45/0.69 (step @p45 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity tptp.additive_identity))) % 0.45/0.69 (step @p46 :rule cnf_or_pos :args (@t57)) % 0.45/0.69 (step @p47 :rule factoring :premises (@p46)) % 0.45/0.69 (step @p48 :rule reordering :premises (@p47) :args ((or @t43 @t56 @t50 (not @t57)))) % 0.45/0.69 (step @p49 :rule chain_m_resolution :premises (@p48 @p24 @p45 @p44) :args (@t50 @t58 (@list @t42 @t55 @t57))) % 0.45/0.69 (step @p50 :rule cnf_or_pos :args (@t54)) % 0.45/0.69 (step @p51 :rule reordering :premises (@p50) :args ((or @t51 @t49 @t53 (not @t54)))) % 0.45/0.69 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p43 @p42) :args (@t53 @t58 (@list @t50 @t48 @t54))) % 0.45/0.69 (step @p53 :rule symm :premises (@p52)) % 0.45/0.69 (step @p54 :rule instantiate :premises (@p18) :args ((@list @t40 @t47 @t40 @t40))) % 0.45/0.69 (step @p55 :rule instantiate :premises (@p12) :args ((@list tptp.a tptp.additive_identity @t40 tptp.additive_identity @t40 tptp.additive_identity @t40))) % 0.45/0.69 (step @p56 :rule cnf_or_pos :args (@t60)) % 0.45/0.69 (step @p57 :rule factoring :premises (@p56)) % 0.45/0.69 (step @p58 :rule reordering :premises (@p57) :args ((or @t43 @t45 @t59 (not @t60)))) % 0.45/0.69 (step @p59 :rule chain_m_resolution :premises (@p58 @p24 @p23 @p55) :args (@t59 @t58 (@list @t42 @t44 @t60))) % 0.45/0.69 (step @p60 :rule instantiate :premises (@p9) :args ((@list @t47 @t40 @t40))) % 0.45/0.69 (step @p61 :rule instantiate :premises (@p14) :args ((@list tptp.additive_identity tptp.additive_identity @t47 tptp.a @t40 tptp.a @t40))) % 0.45/0.69 (step @p62 :rule instantiate :premises (@p1) :args ((@list tptp.a))) % 0.45/0.69 (step @p63 :rule cnf_or_pos :args (@t64)) % 0.45/0.69 (step @p64 :rule factoring :premises (@p63)) % 0.45/0.69 (step @p65 :rule reordering :premises (@p64) :args ((or @t56 @t63 @t45 @t61 (not @t64)))) % 0.45/0.69 (step @p66 :rule chain_m_resolution :premises (@p65 @p45 @p62 @p23 @p61) :args (@t61 (@list false false false false) (@list @t55 @t62 @t44 @t64))) % 0.45/0.69 (step @p67 :rule cnf_or_pos :args (@t67)) % 0.45/0.69 (step @p68 :rule reordering :premises (@p67) :args ((or @t66 @t65 (not @t67)))) % 0.45/0.69 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p60) :args (@t65 (@list false false) (@list @t61 @t67))) % 0.45/0.69 (step @p70 :rule cnf_or_pos :args (@t71)) % 0.45/0.69 (step @p71 :rule reordering :premises (@p70) :args ((or @t70 @t69 @t68 (not @t71)))) % 0.45/0.69 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p59 @p54) :args (@t68 @t58 (@list @t65 @t59 @t71))) % 0.45/0.69 (step @p73 :rule symm :premises (@p72)) % 0.45/0.69 (step @p74 :rule trans :premises (@p73 @p53)) % 0.45/0.69 (step @p75 :rule refl :args (@t40)) % 0.45/0.69 (step @p76 :rule cong :premises (@p75 @p75 @p74) :args (@t59)) % 0.45/0.69 (step @p77 :rule true_intro :premises (@p59)) % 0.45/0.69 (step @p78 :rule symm :premises (@p77)) % 0.45/0.69 (step @p79 :rule trans :premises (@p78 @p76 @p29)) % 0.45/0.69 (step @p80 false :rule eq_resolve :premises (@p79 @p21)) % 0.45/0.69 ) % 0.45/0.69 % SZS output end Proof % 0.45/0.69 % cvc5 exiting %------------------------------------------------------------------------------