%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG038-2 : 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 : n016.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 15.40s 15.66s % Output : Proof 15.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG038-2 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.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 14:03:39 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.32/15.56 --- Run --no-e-matching --full-saturate-quant at 6... % 15.40/15.66 % SZS status Unsatisfiable % 15.40/15.66 % SZS output start Proof % 15.40/15.66 ( % 15.40/15.66 (declare-sort $$unsorted 0) % 15.40/15.66 (declare-const tptp.a $$unsorted) % 15.40/15.66 (declare-const tptp.b $$unsorted) % 15.40/15.66 (declare-const tptp.h (-> $$unsorted $$unsorted $$unsorted)) % 15.40/15.66 (declare-const tptp.additive_identity $$unsorted) % 15.40/15.66 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.40/15.66 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.40/15.66 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.40/15.66 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 15.40/15.66 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 15.40/15.66 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 15.40/15.66 (define @t1 () (@var "Y" $$unsorted)) % 15.40/15.66 (define @t2 () (@var "X" $$unsorted)) % 15.40/15.66 (define @t3 () (tptp.additive_inverse @t2)) % 15.40/15.66 (define @t4 () (not (tptp.equalish @t2 @t1))) % 15.40/15.66 (define @t5 () (@list @t2 @t1)) % 15.40/15.66 (define @t6 () (@var "W" $$unsorted)) % 15.40/15.66 (define @t7 () (@list @t2 @t1 @t6)) % 15.40/15.66 (define @t8 () (@var "Z" $$unsorted)) % 15.40/15.66 (define @t9 () (@list @t2 @t1 @t6 @t8)) % 15.40/15.66 (define @t10 () (@list @t2)) % 15.40/15.66 (define @t11 () (@var "V" $$unsorted)) % 15.40/15.66 (define @t12 () (tptp.sum @t2 @t11 @t6)) % 15.40/15.66 (define @t13 () (@var "U" $$unsorted)) % 15.40/15.66 (define @t14 () (tptp.sum @t13 @t8 @t6)) % 15.40/15.66 (define @t15 () (not (tptp.sum @t1 @t8 @t11))) % 15.40/15.66 (define @t16 () (not (tptp.sum @t2 @t1 @t13))) % 15.40/15.66 (define @t17 () (@list @t2 @t1 @t13 @t8 @t11 @t6)) % 15.40/15.66 (define @t18 () (tptp.product @t2 @t11 @t6)) % 15.40/15.66 (define @t19 () (tptp.product @t13 @t8 @t6)) % 15.40/15.66 (define @t20 () (not (tptp.product @t1 @t8 @t11))) % 15.40/15.66 (define @t21 () (not (tptp.product @t2 @t1 @t13))) % 15.40/15.66 (define @t22 () (@var "V4" $$unsorted)) % 15.40/15.66 (define @t23 () (@var "V2" $$unsorted)) % 15.40/15.66 (define @t24 () (@var "V1" $$unsorted)) % 15.40/15.66 (define @t25 () (tptp.sum @t24 @t23 @t22)) % 15.40/15.66 (define @t26 () (@var "V3" $$unsorted)) % 15.40/15.66 (define @t27 () (tptp.product @t2 @t26 @t22)) % 15.40/15.66 (define @t28 () (not (tptp.sum @t1 @t8 @t26))) % 15.40/15.66 (define @t29 () (not (tptp.product @t2 @t8 @t23))) % 15.40/15.66 (define @t30 () (not (tptp.product @t2 @t1 @t24))) % 15.40/15.66 (define @t31 () (@list @t2 @t1 @t24 @t8 @t23 @t26 @t22)) % 15.40/15.66 (define @t32 () (not @t25)) % 15.40/15.66 (define @t33 () (tptp.product @t26 @t2 @t22)) % 15.40/15.66 (define @t34 () (not (tptp.product @t8 @t2 @t23))) % 15.40/15.66 (define @t35 () (not (tptp.product @t1 @t2 @t24))) % 15.40/15.66 (define @t36 () (@list @t1 @t2 @t24 @t8 @t23 @t26 @t22)) % 15.40/15.66 (define @t37 () (tptp.equalish @t13 @t11)) % 15.40/15.66 (define @t38 () (@list @t2 @t1 @t13 @t11)) % 15.40/15.66 (define @t39 () (forall @t38 (or @t16 (not (tptp.sum @t2 @t1 @t11)) @t37))) % 15.40/15.66 (define @t40 () (tptp.equalish tptp.a tptp.additive_identity)) % 15.40/15.66 (define @t41 () (tptp.h tptp.additive_identity tptp.a)) % 15.40/15.66 (define @t42 () (@list tptp.additive_identity)) % 15.40/15.66 (define @t43 () (tptp.equalish tptp.additive_identity tptp.additive_identity)) % 15.40/15.66 (define @t44 () (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity)) % 15.40/15.66 (define @t45 () (not @t44)) % 15.40/15.66 (define @t46 () (or @t45 @t45 @t43)) % 15.40/15.66 (define @t47 () (@list false false)) % 15.40/15.66 (define @t48 () (tptp.product tptp.additive_identity @t41 tptp.a)) % 15.40/15.66 (define @t49 () (not @t43)) % 15.40/15.66 (define @t50 () (or @t49 @t48)) % 15.40/15.66 (define @t51 () (tptp.product tptp.additive_identity tptp.a tptp.a)) % 15.40/15.66 (define @t52 () (not @t48)) % 15.40/15.66 (define @t53 () (tptp.product tptp.additive_identity tptp.additive_identity tptp.additive_identity)) % 15.40/15.66 (define @t54 () (not @t53)) % 15.40/15.66 (define @t55 () (or @t54 @t52 @t52 @t51)) % 15.40/15.66 (define @t56 () (@list tptp.a)) % 15.40/15.66 (define @t57 () (tptp.sum tptp.additive_identity tptp.a tptp.a)) % 15.40/15.66 (define @t58 () (tptp.sum tptp.a tptp.additive_identity tptp.a)) % 15.40/15.66 (define @t59 () (not @t58)) % 15.40/15.66 (define @t60 () (or @t59 @t57)) % 15.40/15.66 (define @t61 () (tptp.sum tptp.additive_identity tptp.additive_identity tptp.a)) % 15.40/15.66 (define @t62 () (not @t51)) % 15.40/15.66 (define @t63 () (not @t57)) % 15.40/15.66 (define @t64 () (tptp.product tptp.additive_identity tptp.a tptp.additive_identity)) % 15.40/15.66 (define @t65 () (not @t64)) % 15.40/15.66 (define @t66 () (or @t54 @t65 @t63 @t62 @t61)) % 15.40/15.66 (define @t67 () (not @t61)) % 15.40/15.66 (define @t68 () (or @t67 @t45 @t40)) % 15.40/15.66 (define @t69 () (not @t68)) % 15.40/15.66 (assume @p1 (forall @t5 (or @t4 (tptp.equalish @t3 (tptp.additive_inverse @t1))))) % 15.40/15.66 (assume @p2 (forall @t7 (or @t4 (tptp.equalish (tptp.add @t2 @t6) (tptp.add @t1 @t6))))) % 15.40/15.66 (assume @p3 (forall @t9 (or @t4 (not (tptp.sum @t2 @t6 @t8)) (tptp.sum @t1 @t6 @t8)))) % 15.40/15.66 (assume @p4 (forall @t9 (or @t4 (not (tptp.sum @t6 @t2 @t8)) (tptp.sum @t6 @t1 @t8)))) % 15.40/15.66 (assume @p5 (forall @t9 (or @t4 (not (tptp.sum @t6 @t8 @t2)) (tptp.sum @t6 @t8 @t1)))) % 15.40/15.66 (assume @p6 (forall @t7 (or @t4 (tptp.equalish (tptp.multiply @t2 @t6) (tptp.multiply @t1 @t6))))) % 15.40/15.66 (assume @p7 (forall @t9 (or @t4 (not (tptp.product @t2 @t6 @t8)) (tptp.product @t1 @t6 @t8)))) % 15.40/15.66 (assume @p8 (forall @t9 (or @t4 (not (tptp.product @t6 @t2 @t8)) (tptp.product @t6 @t1 @t8)))) % 15.40/15.66 (assume @p9 (forall @t9 (or @t4 (not (tptp.product @t6 @t8 @t2)) (tptp.product @t6 @t8 @t1)))) % 15.40/15.66 (assume @p10 (forall @t10 (tptp.sum @t2 tptp.additive_identity @t2))) % 15.40/15.66 (assume @p11 (forall @t5 (tptp.product @t2 @t1 (tptp.multiply @t2 @t1)))) % 15.40/15.66 (assume @p12 (forall @t5 (tptp.sum @t2 @t1 (tptp.add @t2 @t1)))) % 15.40/15.66 (assume @p13 (forall @t10 (tptp.sum @t2 @t3 tptp.additive_identity))) % 15.40/15.66 (assume @p14 (forall @t17 (or @t16 @t15 (not @t14) @t12))) % 15.40/15.66 (assume @p15 (forall @t17 (or @t16 @t15 (not @t12) @t14))) % 15.40/15.66 (assume @p16 (forall (@list @t2 @t1 @t8) (or (not (tptp.sum @t2 @t1 @t8)) (tptp.sum @t1 @t2 @t8)))) % 15.40/15.66 (assume @p17 (forall @t17 (or @t21 @t20 (not @t19) @t18))) % 15.40/15.66 (assume @p18 (forall @t17 (or @t21 @t20 (not @t18) @t19))) % 15.40/15.66 (assume @p19 (forall @t31 (or @t30 @t29 @t28 (not @t27) @t25))) % 15.40/15.66 (assume @p20 (forall @t31 (or @t30 @t29 @t28 @t32 @t27))) % 15.40/15.66 (assume @p21 (forall @t36 (or @t35 @t34 @t28 (not @t33) @t25))) % 15.40/15.66 (assume @p22 (forall @t36 (or @t35 @t34 @t28 @t32 @t33))) % 15.40/15.66 (assume @p23 @t39) % 15.40/15.66 (assume @p24 (forall @t38 (or @t21 (not (tptp.product @t2 @t1 @t11)) @t37))) % 15.40/15.66 (assume @p25 (forall @t10 (tptp.product tptp.additive_identity @t2 tptp.additive_identity))) % 15.40/15.66 (assume @p26 (forall @t10 (tptp.product @t2 tptp.additive_identity tptp.additive_identity))) % 15.40/15.66 (assume @p27 (forall @t5 (or (not (tptp.equalish @t2 tptp.additive_identity)) (tptp.product @t2 (tptp.h @t2 @t1) @t1)))) % 15.40/15.66 (assume @p28 (tptp.product tptp.a tptp.b tptp.additive_identity)) % 15.40/15.66 (assume @p29 (not @t40)) % 15.40/15.66 (assume @p30 (not (tptp.equalish tptp.b tptp.additive_identity))) % 15.40/15.66 (step @p31 :rule instantiate :premises (@p19) :args ((@list tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.a tptp.additive_identity tptp.a tptp.a))) % 15.40/15.66 (step @p32 :rule instantiate :premises (@p17) :args ((@list tptp.additive_identity tptp.additive_identity tptp.additive_identity @t41 tptp.a tptp.a))) % 15.40/15.66 (step @p33 :rule instantiate :premises (@p27) :args ((@list tptp.additive_identity tptp.a))) % 15.40/15.66 (step @p34 :rule instantiate :premises (@p23) :args ((@list tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.additive_identity))) % 15.40/15.66 (step @p35 :rule instantiate :premises (@p10) :args (@t42)) % 15.40/15.66 (step @p36 :rule cnf_or_pos :args (@t46)) % 15.40/15.66 (step @p37 :rule factoring :premises (@p36)) % 15.40/15.66 (step @p38 :rule reordering :premises (@p37) :args ((or @t43 @t45 (not @t46)))) % 15.40/15.66 (step @p39 :rule chain_m_resolution :premises (@p38 @p35 @p34) :args (@t43 @t47 (@list @t44 @t46))) % 15.40/15.66 (step @p40 :rule cnf_or_pos :args (@t50)) % 15.40/15.66 (step @p41 :rule reordering :premises (@p40) :args ((or @t49 @t48 (not @t50)))) % 15.40/15.66 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p33) :args (@t48 @t47 (@list @t43 @t50))) % 15.40/15.66 (step @p43 :rule instantiate :premises (@p25) :args (@t42)) % 15.40/15.66 (step @p44 :rule cnf_or_pos :args (@t55)) % 15.40/15.66 (step @p45 :rule factoring :premises (@p44)) % 15.40/15.66 (step @p46 :rule reordering :premises (@p45) :args ((or @t54 @t52 @t51 (not @t55)))) % 15.40/15.66 (step @p47 :rule chain_m_resolution :premises (@p46 @p43 @p42 @p32) :args (@t51 (@list false false false) (@list @t53 @t48 @t55))) % 15.40/15.66 (step @p48 :rule instantiate :premises (@p16) :args ((@list tptp.a tptp.additive_identity tptp.a))) % 15.40/15.66 (step @p49 :rule instantiate :premises (@p10) :args (@t56)) % 15.40/15.66 (step @p50 :rule cnf_or_pos :args (@t60)) % 15.40/15.66 (step @p51 :rule reordering :premises (@p50) :args ((or @t59 @t57 (not @t60)))) % 15.40/15.66 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p48) :args (@t57 @t47 (@list @t58 @t60))) % 15.40/15.66 (step @p53 :rule instantiate :premises (@p25) :args (@t56)) % 15.40/15.66 (step @p54 :rule cnf_or_pos :args (@t66)) % 15.40/15.66 (step @p55 :rule reordering :premises (@p54) :args ((or @t54 @t61 @t65 @t63 @t62 (not @t66)))) % 15.40/15.66 (step @p56 :rule chain_m_resolution :premises (@p55 @p43 @p53 @p52 @p47 @p31) :args (@t61 (@list false false false false false) (@list @t53 @t64 @t57 @t51 @t66))) % 15.40/15.66 (step @p57 :rule cnf_or_pos :args (@t68)) % 15.40/15.66 (step @p58 :rule reordering :premises (@p57) :args ((or @t40 @t45 @t67 @t69))) % 15.40/15.66 (step @p59 :rule chain_m_resolution :premises (@p58 @p29 @p35 @p56) :args (@t69 (@list true false false) (@list @t40 @t44 @t61))) % 15.40/15.66 (assume-push @p66 @t39) % 15.40/15.66 (step @p61 :rule instantiate :premises (@p23) :args ((@list tptp.additive_identity tptp.additive_identity tptp.a tptp.additive_identity))) % 15.40/15.66 (step-pop @p67 :rule scope :premises (@p61)) % 15.40/15.66 (step @p62 :rule process_scope :premises (@p67) :args (@t68)) % 15.40/15.66 (step @p64 :rule implies_elim :premises (@p62)) % 15.40/15.66 (step @p65 false :rule chain_m_resolution :premises (@p64 @p59 @p23) :args (false (@list true false) (@list @t68 @t39))) % 15.40/15.66 ) % 15.40/15.66 % SZS output end Proof % 15.40/15.66 % cvc5 exiting %------------------------------------------------------------------------------