%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG006-1 : 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 : n020.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 08:45:20 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : RNG006-1 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n020.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 13:55:25 EDT 2026 % 0.17/0.35 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.57 % SZS status Unsatisfiable % 0.36/0.57 % SZS output start Proof % 0.36/0.58 ( % 0.36/0.58 (declare-sort $$unsorted 0) % 0.36/0.58 (declare-const tptp.aPb_S_IaPc $$unsorted) % 0.36/0.58 (declare-const tptp.aPc $$unsorted) % 0.36/0.58 (declare-const tptp.bS_Ic $$unsorted) % 0.36/0.58 (declare-const tptp.a $$unsorted) % 0.36/0.58 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.b $$unsorted) % 0.36/0.58 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.aPb $$unsorted) % 0.36/0.58 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.c $$unsorted) % 0.36/0.58 (declare-const tptp.additive_identity $$unsorted) % 0.36/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.36/0.58 (define @t2 () (@list @t1)) % 0.36/0.58 (define @t3 () (@var "Y" $$unsorted)) % 0.36/0.58 (define @t4 () (@list @t1 @t3)) % 0.36/0.58 (define @t5 () (tptp.additive_inverse @t1)) % 0.36/0.58 (define @t6 () (@var "W" $$unsorted)) % 0.36/0.58 (define @t7 () (@var "V" $$unsorted)) % 0.36/0.58 (define @t8 () (tptp.sum @t1 @t7 @t6)) % 0.36/0.58 (define @t9 () (@var "Z" $$unsorted)) % 0.36/0.58 (define @t10 () (@var "U" $$unsorted)) % 0.36/0.58 (define @t11 () (tptp.sum @t10 @t9 @t6)) % 0.36/0.58 (define @t12 () (not (tptp.sum @t3 @t9 @t7))) % 0.36/0.58 (define @t13 () (not (tptp.sum @t1 @t3 @t10))) % 0.36/0.58 (define @t14 () (@list @t1 @t3 @t10 @t9 @t7 @t6)) % 0.36/0.58 (define @t15 () (tptp.product @t1 @t7 @t6)) % 0.36/0.58 (define @t16 () (tptp.product @t10 @t9 @t6)) % 0.36/0.58 (define @t17 () (not (tptp.product @t3 @t9 @t7))) % 0.36/0.58 (define @t18 () (not (tptp.product @t1 @t3 @t10))) % 0.36/0.58 (define @t19 () (@var "V4" $$unsorted)) % 0.36/0.58 (define @t20 () (@var "V2" $$unsorted)) % 0.36/0.58 (define @t21 () (@var "V1" $$unsorted)) % 0.36/0.58 (define @t22 () (tptp.sum @t21 @t20 @t19)) % 0.36/0.58 (define @t23 () (@var "V3" $$unsorted)) % 0.36/0.58 (define @t24 () (tptp.product @t1 @t23 @t19)) % 0.36/0.58 (define @t25 () (not (tptp.sum @t3 @t9 @t23))) % 0.36/0.58 (define @t26 () (not (tptp.product @t1 @t9 @t20))) % 0.36/0.58 (define @t27 () (not (tptp.product @t1 @t3 @t21))) % 0.36/0.58 (define @t28 () (@list @t1 @t3 @t21 @t9 @t20 @t23 @t19)) % 0.36/0.58 (define @t29 () (not @t22)) % 0.36/0.58 (define @t30 () (tptp.product @t23 @t1 @t19)) % 0.36/0.58 (define @t31 () (not (tptp.product @t9 @t1 @t20))) % 0.36/0.58 (define @t32 () (not (tptp.product @t3 @t1 @t21))) % 0.36/0.58 (define @t33 () (@list @t3 @t1 @t21 @t9 @t20 @t23 @t19)) % 0.36/0.58 (define @t34 () (= @t10 @t7)) % 0.36/0.58 (define @t35 () (@list @t1 @t3 @t10 @t7)) % 0.36/0.58 (define @t36 () (@var "C" $$unsorted)) % 0.36/0.58 (define @t37 () (tptp.additive_inverse @t36)) % 0.36/0.58 (define @t38 () (@var "B" $$unsorted)) % 0.36/0.58 (define @t39 () (tptp.additive_inverse @t38)) % 0.36/0.58 (define @t40 () (@var "A" $$unsorted)) % 0.36/0.58 (define @t41 () (not (tptp.product @t40 @t38 @t36))) % 0.36/0.58 (define @t42 () (@list @t40 @t38 @t36)) % 0.36/0.58 (define @t43 () (forall @t42 (or @t41 (tptp.product @t40 @t39 @t37)))) % 0.36/0.58 (define @t44 () (tptp.additive_inverse @t40)) % 0.36/0.58 (define @t45 () (tptp.additive_inverse tptp.c)) % 0.36/0.58 (define @t46 () (tptp.sum tptp.b @t45 tptp.bS_Ic)) % 0.36/0.58 (define @t47 () (tptp.product tptp.a tptp.b tptp.aPb)) % 0.36/0.58 (define @t48 () (tptp.product tptp.a tptp.c tptp.aPc)) % 0.36/0.58 (define @t49 () (tptp.additive_inverse tptp.aPc)) % 0.36/0.58 (define @t50 () (tptp.sum tptp.aPb @t49 tptp.aPb_S_IaPc)) % 0.36/0.58 (define @t51 () (tptp.product tptp.a tptp.bS_Ic tptp.aPb_S_IaPc)) % 0.36/0.58 (define @t52 () (tptp.sum @t49 tptp.aPb tptp.aPb_S_IaPc)) % 0.36/0.58 (define @t53 () (not @t50)) % 0.36/0.58 (define @t54 () (or @t53 @t52)) % 0.36/0.58 (define @t55 () (@list false false)) % 0.36/0.58 (define @t56 () (tptp.sum @t45 tptp.b tptp.bS_Ic)) % 0.36/0.58 (define @t57 () (not @t46)) % 0.36/0.58 (define @t58 () (or @t57 @t56)) % 0.36/0.58 (define @t59 () (not @t52)) % 0.36/0.58 (define @t60 () (not @t56)) % 0.36/0.58 (define @t61 () (not @t47)) % 0.36/0.58 (define @t62 () (tptp.product tptp.a @t45 @t49)) % 0.36/0.58 (define @t63 () (not @t62)) % 0.36/0.58 (define @t64 () (or @t63 @t61 @t60 @t59 @t51)) % 0.36/0.58 (define @t65 () (not @t48)) % 0.36/0.58 (define @t66 () (or @t65 @t62)) % 0.36/0.58 (define @t67 () (not @t66)) % 0.36/0.58 (assume @p1 (forall @t2 (tptp.sum tptp.additive_identity @t1 @t1))) % 0.36/0.58 (assume @p2 (forall @t2 (tptp.sum @t1 tptp.additive_identity @t1))) % 0.36/0.58 (assume @p3 (forall @t4 (tptp.product @t1 @t3 (tptp.multiply @t1 @t3)))) % 0.36/0.58 (assume @p4 (forall @t4 (tptp.sum @t1 @t3 (tptp.add @t1 @t3)))) % 0.36/0.58 (assume @p5 (forall @t2 (tptp.sum @t5 @t1 tptp.additive_identity))) % 0.36/0.58 (assume @p6 (forall @t2 (tptp.sum @t1 @t5 tptp.additive_identity))) % 0.36/0.58 (assume @p7 (forall @t14 (or @t13 @t12 (not @t11) @t8))) % 0.36/0.58 (assume @p8 (forall @t14 (or @t13 @t12 (not @t8) @t11))) % 0.36/0.58 (assume @p9 (forall (@list @t1 @t3 @t9) (or (not (tptp.sum @t1 @t3 @t9)) (tptp.sum @t3 @t1 @t9)))) % 0.36/0.58 (assume @p10 (forall @t14 (or @t18 @t17 (not @t16) @t15))) % 0.36/0.58 (assume @p11 (forall @t14 (or @t18 @t17 (not @t15) @t16))) % 0.36/0.58 (assume @p12 (forall @t28 (or @t27 @t26 @t25 (not @t24) @t22))) % 0.36/0.58 (assume @p13 (forall @t28 (or @t27 @t26 @t25 @t29 @t24))) % 0.36/0.58 (assume @p14 (forall @t33 (or @t32 @t31 @t25 (not @t30) @t22))) % 0.36/0.58 (assume @p15 (forall @t33 (or @t32 @t31 @t25 @t29 @t30))) % 0.36/0.58 (assume @p16 (forall @t35 (or @t13 (not (tptp.sum @t1 @t3 @t7)) @t34))) % 0.36/0.58 (assume @p17 (forall @t35 (or @t18 (not (tptp.product @t1 @t3 @t7)) @t34))) % 0.36/0.58 (assume @p18 @t43) % 0.36/0.58 (assume @p19 (forall @t42 (or @t41 (tptp.product @t44 @t38 @t37)))) % 0.36/0.58 (assume @p20 (forall @t42 (or @t41 (tptp.product @t44 @t39 @t36)))) % 0.36/0.58 (assume @p21 @t46) % 0.36/0.58 (assume @p22 @t47) % 0.36/0.58 (assume @p23 @t48) % 0.36/0.58 (assume @p24 @t50) % 0.36/0.58 (assume @p25 (not @t51)) % 0.36/0.58 (step @p26 :rule instantiate :premises (@p13) :args ((@list tptp.a @t45 @t49 tptp.b tptp.aPb tptp.bS_Ic tptp.aPb_S_IaPc))) % 0.36/0.58 (step @p27 :rule instantiate :premises (@p9) :args ((@list tptp.aPb @t49 tptp.aPb_S_IaPc))) % 0.36/0.58 (step @p28 :rule cnf_or_pos :args (@t54)) % 0.36/0.58 (step @p29 :rule reordering :premises (@p28) :args ((or @t53 @t52 (not @t54)))) % 0.36/0.58 (step @p30 :rule chain_m_resolution :premises (@p29 @p24 @p27) :args (@t52 @t55 (@list @t50 @t54))) % 0.36/0.58 (step @p31 :rule instantiate :premises (@p9) :args ((@list tptp.b @t45 tptp.bS_Ic))) % 0.36/0.58 (step @p32 :rule cnf_or_pos :args (@t58)) % 0.36/0.58 (step @p33 :rule reordering :premises (@p32) :args ((or @t57 @t56 (not @t58)))) % 0.36/0.58 (step @p34 :rule chain_m_resolution :premises (@p33 @p21 @p31) :args (@t56 @t55 (@list @t46 @t58))) % 0.36/0.58 (step @p35 :rule cnf_or_pos :args (@t64)) % 0.36/0.58 (step @p36 :rule reordering :premises (@p35) :args ((or @t51 @t61 @t60 @t59 @t63 (not @t64)))) % 0.36/0.58 (step @p37 :rule chain_m_resolution :premises (@p36 @p25 @p22 @p34 @p30 @p26) :args (@t63 (@list true false false false false) (@list @t51 @t47 @t56 @t52 @t64))) % 0.36/0.58 (step @p38 :rule cnf_or_pos :args (@t66)) % 0.36/0.58 (step @p39 :rule reordering :premises (@p38) :args ((or @t65 @t62 @t67))) % 0.36/0.58 (step @p40 :rule chain_m_resolution :premises (@p39 @p23 @p37) :args (@t67 (@list false true) (@list @t48 @t62))) % 0.36/0.58 (assume-push @p47 @t43) % 0.36/0.58 (step @p42 :rule instantiate :premises (@p18) :args ((@list tptp.a tptp.c tptp.aPc))) % 0.36/0.58 (step-pop @p48 :rule scope :premises (@p42)) % 0.36/0.58 (step @p43 :rule process_scope :premises (@p48) :args (@t66)) % 0.36/0.58 (step @p45 :rule implies_elim :premises (@p43)) % 0.36/0.58 (step @p46 false :rule chain_m_resolution :premises (@p45 @p40 @p18) :args (false (@list true false) (@list @t66 @t43))) % 0.36/0.58 ) % 0.36/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------