%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG006-2 : 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 : n007.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 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG006-2 : TPTP v9.2.1. Released v1.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n007.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 13:54:41 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Unsatisfiable % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.aPb_S_IaPc $$unsorted) % 0.38/0.57 (declare-const tptp.bS_Ic $$unsorted) % 0.38/0.57 (declare-const tptp.b $$unsorted) % 0.38/0.57 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.a $$unsorted) % 0.38/0.57 (declare-const tptp.additive_identity $$unsorted) % 0.38/0.57 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.aPb $$unsorted) % 0.38/0.57 (declare-const tptp.c $$unsorted) % 0.38/0.57 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.aPc $$unsorted) % 0.38/0.57 (define @t1 () (@var "Y" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t3 () (tptp.additive_inverse @t2)) % 0.38/0.57 (define @t4 () (not (tptp.equalish @t2 @t1))) % 0.38/0.57 (define @t5 () (@list @t2 @t1)) % 0.38/0.57 (define @t6 () (@var "W" $$unsorted)) % 0.38/0.57 (define @t7 () (@list @t2 @t1 @t6)) % 0.38/0.57 (define @t8 () (@var "Z" $$unsorted)) % 0.38/0.57 (define @t9 () (@list @t2 @t1 @t6 @t8)) % 0.38/0.57 (define @t10 () (@list @t2)) % 0.38/0.57 (define @t11 () (@var "V" $$unsorted)) % 0.38/0.57 (define @t12 () (tptp.sum @t2 @t11 @t6)) % 0.38/0.57 (define @t13 () (@var "U" $$unsorted)) % 0.38/0.57 (define @t14 () (tptp.sum @t13 @t8 @t6)) % 0.38/0.57 (define @t15 () (not (tptp.sum @t1 @t8 @t11))) % 0.38/0.57 (define @t16 () (not (tptp.sum @t2 @t1 @t13))) % 0.38/0.57 (define @t17 () (@list @t2 @t1 @t13 @t8 @t11 @t6)) % 0.38/0.57 (define @t18 () (tptp.product @t2 @t11 @t6)) % 0.38/0.57 (define @t19 () (tptp.product @t13 @t8 @t6)) % 0.38/0.57 (define @t20 () (not (tptp.product @t1 @t8 @t11))) % 0.38/0.57 (define @t21 () (not (tptp.product @t2 @t1 @t13))) % 0.38/0.57 (define @t22 () (@var "V4" $$unsorted)) % 0.38/0.57 (define @t23 () (@var "V2" $$unsorted)) % 0.38/0.57 (define @t24 () (@var "V1" $$unsorted)) % 0.38/0.57 (define @t25 () (tptp.sum @t24 @t23 @t22)) % 0.38/0.57 (define @t26 () (@var "V3" $$unsorted)) % 0.38/0.57 (define @t27 () (tptp.product @t2 @t26 @t22)) % 0.38/0.57 (define @t28 () (not (tptp.sum @t1 @t8 @t26))) % 0.38/0.57 (define @t29 () (not (tptp.product @t2 @t8 @t23))) % 0.38/0.57 (define @t30 () (not (tptp.product @t2 @t1 @t24))) % 0.38/0.57 (define @t31 () (@list @t2 @t1 @t24 @t8 @t23 @t26 @t22)) % 0.38/0.57 (define @t32 () (not @t25)) % 0.38/0.57 (define @t33 () (tptp.product @t26 @t2 @t22)) % 0.38/0.57 (define @t34 () (not (tptp.product @t8 @t2 @t23))) % 0.38/0.57 (define @t35 () (not (tptp.product @t1 @t2 @t24))) % 0.38/0.57 (define @t36 () (@list @t1 @t2 @t24 @t8 @t23 @t26 @t22)) % 0.38/0.57 (define @t37 () (tptp.equalish @t13 @t11)) % 0.38/0.57 (define @t38 () (@list @t2 @t1 @t13 @t11)) % 0.38/0.57 (define @t39 () (@var "C" $$unsorted)) % 0.38/0.57 (define @t40 () (tptp.additive_inverse @t39)) % 0.38/0.57 (define @t41 () (@var "B" $$unsorted)) % 0.38/0.57 (define @t42 () (tptp.additive_inverse @t41)) % 0.38/0.57 (define @t43 () (@var "A" $$unsorted)) % 0.38/0.57 (define @t44 () (not (tptp.product @t43 @t41 @t39))) % 0.38/0.57 (define @t45 () (@list @t43 @t41 @t39)) % 0.38/0.57 (define @t46 () (forall @t45 (or @t44 (tptp.product @t43 @t42 @t40)))) % 0.38/0.57 (define @t47 () (tptp.additive_inverse @t43)) % 0.38/0.57 (define @t48 () (tptp.additive_inverse tptp.c)) % 0.38/0.57 (define @t49 () (tptp.sum tptp.b @t48 tptp.bS_Ic)) % 0.38/0.57 (define @t50 () (tptp.product tptp.a tptp.b tptp.aPb)) % 0.38/0.57 (define @t51 () (tptp.product tptp.a tptp.c tptp.aPc)) % 0.38/0.57 (define @t52 () (tptp.additive_inverse tptp.aPc)) % 0.38/0.57 (define @t53 () (tptp.sum tptp.aPb @t52 tptp.aPb_S_IaPc)) % 0.38/0.57 (define @t54 () (tptp.product tptp.a tptp.bS_Ic tptp.aPb_S_IaPc)) % 0.38/0.57 (define @t55 () (tptp.sum @t52 tptp.aPb tptp.aPb_S_IaPc)) % 0.38/0.57 (define @t56 () (not @t53)) % 0.38/0.57 (define @t57 () (or @t56 @t55)) % 0.38/0.57 (define @t58 () (@list false false)) % 0.38/0.57 (define @t59 () (tptp.sum @t48 tptp.b tptp.bS_Ic)) % 0.38/0.57 (define @t60 () (not @t49)) % 0.38/0.57 (define @t61 () (or @t60 @t59)) % 0.38/0.57 (define @t62 () (not @t55)) % 0.38/0.57 (define @t63 () (not @t59)) % 0.38/0.57 (define @t64 () (not @t50)) % 0.38/0.57 (define @t65 () (tptp.product tptp.a @t48 @t52)) % 0.38/0.57 (define @t66 () (not @t65)) % 0.38/0.57 (define @t67 () (or @t66 @t64 @t63 @t62 @t54)) % 0.38/0.57 (define @t68 () (not @t51)) % 0.38/0.57 (define @t69 () (or @t68 @t65)) % 0.38/0.57 (define @t70 () (not @t69)) % 0.38/0.57 (assume @p1 (forall @t5 (or @t4 (tptp.equalish @t3 (tptp.additive_inverse @t1))))) % 0.38/0.57 (assume @p2 (forall @t7 (or @t4 (tptp.equalish (tptp.add @t2 @t6) (tptp.add @t1 @t6))))) % 0.38/0.57 (assume @p3 (forall @t9 (or @t4 (not (tptp.sum @t2 @t6 @t8)) (tptp.sum @t1 @t6 @t8)))) % 0.38/0.57 (assume @p4 (forall @t9 (or @t4 (not (tptp.sum @t6 @t2 @t8)) (tptp.sum @t6 @t1 @t8)))) % 0.38/0.57 (assume @p5 (forall @t9 (or @t4 (not (tptp.sum @t6 @t8 @t2)) (tptp.sum @t6 @t8 @t1)))) % 0.38/0.57 (assume @p6 (forall @t7 (or @t4 (tptp.equalish (tptp.multiply @t2 @t6) (tptp.multiply @t1 @t6))))) % 0.38/0.57 (assume @p7 (forall @t9 (or @t4 (not (tptp.product @t2 @t6 @t8)) (tptp.product @t1 @t6 @t8)))) % 0.38/0.57 (assume @p8 (forall @t9 (or @t4 (not (tptp.product @t6 @t2 @t8)) (tptp.product @t6 @t1 @t8)))) % 0.38/0.57 (assume @p9 (forall @t9 (or @t4 (not (tptp.product @t6 @t8 @t2)) (tptp.product @t6 @t8 @t1)))) % 0.38/0.57 (assume @p10 (forall @t10 (tptp.sum tptp.additive_identity @t2 @t2))) % 0.38/0.57 (assume @p11 (forall @t10 (tptp.sum @t2 tptp.additive_identity @t2))) % 0.38/0.57 (assume @p12 (forall @t5 (tptp.product @t2 @t1 (tptp.multiply @t2 @t1)))) % 0.38/0.57 (assume @p13 (forall @t5 (tptp.sum @t2 @t1 (tptp.add @t2 @t1)))) % 0.38/0.57 (assume @p14 (forall @t10 (tptp.sum @t3 @t2 tptp.additive_identity))) % 0.38/0.57 (assume @p15 (forall @t10 (tptp.sum @t2 @t3 tptp.additive_identity))) % 0.38/0.57 (assume @p16 (forall @t17 (or @t16 @t15 (not @t14) @t12))) % 0.38/0.57 (assume @p17 (forall @t17 (or @t16 @t15 (not @t12) @t14))) % 0.38/0.57 (assume @p18 (forall (@list @t2 @t1 @t8) (or (not (tptp.sum @t2 @t1 @t8)) (tptp.sum @t1 @t2 @t8)))) % 0.38/0.57 (assume @p19 (forall @t17 (or @t21 @t20 (not @t19) @t18))) % 0.38/0.57 (assume @p20 (forall @t17 (or @t21 @t20 (not @t18) @t19))) % 0.38/0.57 (assume @p21 (forall @t31 (or @t30 @t29 @t28 (not @t27) @t25))) % 0.38/0.57 (assume @p22 (forall @t31 (or @t30 @t29 @t28 @t32 @t27))) % 0.38/0.57 (assume @p23 (forall @t36 (or @t35 @t34 @t28 (not @t33) @t25))) % 0.38/0.57 (assume @p24 (forall @t36 (or @t35 @t34 @t28 @t32 @t33))) % 0.38/0.57 (assume @p25 (forall @t38 (or @t16 (not (tptp.sum @t2 @t1 @t11)) @t37))) % 0.38/0.57 (assume @p26 (forall @t38 (or @t21 (not (tptp.product @t2 @t1 @t11)) @t37))) % 0.38/0.57 (assume @p27 (forall @t10 (tptp.product tptp.additive_identity @t2 tptp.additive_identity))) % 0.38/0.57 (assume @p28 (forall @t10 (tptp.product @t2 tptp.additive_identity tptp.additive_identity))) % 0.38/0.57 (assume @p29 @t46) % 0.38/0.57 (assume @p30 (forall @t45 (or @t44 (tptp.product @t47 @t41 @t40)))) % 0.38/0.57 (assume @p31 (forall @t45 (or @t44 (tptp.product @t47 @t42 @t39)))) % 0.38/0.57 (assume @p32 @t49) % 0.38/0.57 (assume @p33 @t50) % 0.38/0.57 (assume @p34 @t51) % 0.38/0.57 (assume @p35 @t53) % 0.38/0.57 (assume @p36 (not @t54)) % 0.38/0.57 (step @p37 :rule instantiate :premises (@p22) :args ((@list tptp.a @t48 @t52 tptp.b tptp.aPb tptp.bS_Ic tptp.aPb_S_IaPc))) % 0.38/0.57 (step @p38 :rule instantiate :premises (@p18) :args ((@list tptp.aPb @t52 tptp.aPb_S_IaPc))) % 0.38/0.57 (step @p39 :rule cnf_or_pos :args (@t57)) % 0.38/0.57 (step @p40 :rule reordering :premises (@p39) :args ((or @t56 @t55 (not @t57)))) % 0.38/0.57 (step @p41 :rule chain_m_resolution :premises (@p40 @p35 @p38) :args (@t55 @t58 (@list @t53 @t57))) % 0.38/0.57 (step @p42 :rule instantiate :premises (@p18) :args ((@list tptp.b @t48 tptp.bS_Ic))) % 0.38/0.57 (step @p43 :rule cnf_or_pos :args (@t61)) % 0.38/0.57 (step @p44 :rule reordering :premises (@p43) :args ((or @t60 @t59 (not @t61)))) % 0.38/0.57 (step @p45 :rule chain_m_resolution :premises (@p44 @p32 @p42) :args (@t59 @t58 (@list @t49 @t61))) % 0.38/0.57 (step @p46 :rule cnf_or_pos :args (@t67)) % 0.38/0.57 (step @p47 :rule reordering :premises (@p46) :args ((or @t54 @t64 @t63 @t62 @t66 (not @t67)))) % 0.38/0.57 (step @p48 :rule chain_m_resolution :premises (@p47 @p36 @p33 @p45 @p41 @p37) :args (@t66 (@list true false false false false) (@list @t54 @t50 @t59 @t55 @t67))) % 0.38/0.57 (step @p49 :rule cnf_or_pos :args (@t69)) % 0.38/0.57 (step @p50 :rule reordering :premises (@p49) :args ((or @t68 @t65 @t70))) % 0.38/0.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p34 @p48) :args (@t70 (@list false true) (@list @t51 @t65))) % 0.38/0.57 (assume-push @p58 @t46) % 0.38/0.57 (step @p53 :rule instantiate :premises (@p29) :args ((@list tptp.a tptp.c tptp.aPc))) % 0.38/0.57 (step-pop @p59 :rule scope :premises (@p53)) % 0.38/0.57 (step @p54 :rule process_scope :premises (@p59) :args (@t69)) % 0.38/0.57 (step @p56 :rule implies_elim :premises (@p54)) % 0.38/0.57 (step @p57 false :rule chain_m_resolution :premises (@p56 @p51 @p29) :args (false (@list true false) (@list @t69 @t46))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------