%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG041-1 : 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 : n012.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 08:45:28 AM UTC 2026 % Result : Unsatisfiable 1.40s 1.66s % Output : Proof 1.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : RNG041-1 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 14:03:18 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.40/1.66 % SZS status Unsatisfiable % 1.40/1.66 % SZS output start Proof % 1.40/1.66 ( % 1.40/1.66 (declare-sort $$unsorted 0) % 1.40/1.66 (declare-const tptp.a $$unsorted) % 1.40/1.66 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 1.40/1.66 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 1.40/1.66 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.40/1.66 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 1.40/1.66 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 1.40/1.66 (declare-const tptp.b $$unsorted) % 1.40/1.66 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.40/1.66 (declare-const tptp.multiplicative_identity $$unsorted) % 1.40/1.66 (declare-const tptp.additive_identity $$unsorted) % 1.40/1.66 (define @t1 () (@var "X" $$unsorted)) % 1.40/1.66 (define @t2 () (@list @t1)) % 1.40/1.66 (define @t3 () (@var "Y" $$unsorted)) % 1.40/1.66 (define @t4 () (@list @t1 @t3)) % 1.40/1.66 (define @t5 () (tptp.additive_inverse @t1)) % 1.40/1.66 (define @t6 () (@var "W" $$unsorted)) % 1.40/1.66 (define @t7 () (@var "V" $$unsorted)) % 1.40/1.66 (define @t8 () (tptp.sum @t1 @t7 @t6)) % 1.40/1.66 (define @t9 () (@var "Z" $$unsorted)) % 1.40/1.66 (define @t10 () (@var "U" $$unsorted)) % 1.40/1.66 (define @t11 () (tptp.sum @t10 @t9 @t6)) % 1.40/1.66 (define @t12 () (not (tptp.sum @t3 @t9 @t7))) % 1.40/1.66 (define @t13 () (not (tptp.sum @t1 @t3 @t10))) % 1.40/1.66 (define @t14 () (@list @t1 @t3 @t10 @t9 @t7 @t6)) % 1.40/1.66 (define @t15 () (tptp.product @t1 @t7 @t6)) % 1.40/1.66 (define @t16 () (tptp.product @t10 @t9 @t6)) % 1.40/1.66 (define @t17 () (not (tptp.product @t3 @t9 @t7))) % 1.40/1.66 (define @t18 () (not (tptp.product @t1 @t3 @t10))) % 1.40/1.66 (define @t19 () (@var "V4" $$unsorted)) % 1.40/1.66 (define @t20 () (@var "V2" $$unsorted)) % 1.40/1.66 (define @t21 () (@var "V1" $$unsorted)) % 1.40/1.66 (define @t22 () (tptp.sum @t21 @t20 @t19)) % 1.40/1.66 (define @t23 () (@var "V3" $$unsorted)) % 1.40/1.66 (define @t24 () (tptp.product @t1 @t23 @t19)) % 1.40/1.66 (define @t25 () (not (tptp.sum @t3 @t9 @t23))) % 1.40/1.66 (define @t26 () (not (tptp.product @t1 @t9 @t20))) % 1.40/1.66 (define @t27 () (not (tptp.product @t1 @t3 @t21))) % 1.40/1.66 (define @t28 () (@list @t1 @t3 @t21 @t9 @t20 @t23 @t19)) % 1.40/1.66 (define @t29 () (not @t22)) % 1.40/1.66 (define @t30 () (tptp.product @t23 @t1 @t19)) % 1.40/1.66 (define @t31 () (not (tptp.product @t9 @t1 @t20))) % 1.40/1.66 (define @t32 () (not (tptp.product @t3 @t1 @t21))) % 1.40/1.66 (define @t33 () (@list @t3 @t1 @t21 @t9 @t20 @t23 @t19)) % 1.40/1.66 (define @t34 () (= @t10 @t7)) % 1.40/1.66 (define @t35 () (@list @t1 @t3 @t10 @t7)) % 1.40/1.66 (define @t36 () (forall @t35 (or @t13 (not (tptp.sum @t1 @t3 @t7)) @t34))) % 1.40/1.66 (define @t37 () (@var "A" $$unsorted)) % 1.40/1.66 (define @t38 () (@list @t37)) % 1.40/1.66 (define @t39 () (= @t37 tptp.additive_identity)) % 1.40/1.66 (define @t40 () (tptp.h @t37)) % 1.40/1.66 (define @t41 () (tptp.product @t40 @t37 tptp.multiplicative_identity)) % 1.40/1.66 (define @t42 () (or @t41 @t39)) % 1.40/1.66 (define @t43 () (forall @t38 @t42)) % 1.40/1.66 (define @t44 () (tptp.product tptp.a tptp.b tptp.additive_identity)) % 1.40/1.66 (define @t45 () (@list tptp.b)) % 1.40/1.66 (define @t46 () (tptp.h tptp.a)) % 1.40/1.66 (define @t47 () (= tptp.additive_identity tptp.a)) % 1.40/1.66 (define @t48 () (tptp.product @t46 tptp.a tptp.multiplicative_identity)) % 1.40/1.66 (define @t49 () (or @t48 @t47)) % 1.40/1.66 (define @t50 () (@list true false)) % 1.40/1.66 (define @t51 () (tptp.product tptp.multiplicative_identity tptp.b tptp.additive_identity)) % 1.40/1.66 (define @t52 () (tptp.product @t46 tptp.additive_identity tptp.additive_identity)) % 1.40/1.66 (define @t53 () (not @t52)) % 1.40/1.66 (define @t54 () (not @t44)) % 1.40/1.66 (define @t55 () (not @t48)) % 1.40/1.66 (define @t56 () (or @t55 @t54 @t53 @t51)) % 1.40/1.66 (define @t57 () (tptp.sum tptp.additive_identity tptp.additive_identity tptp.b)) % 1.40/1.66 (define @t58 () (tptp.product tptp.multiplicative_identity tptp.b tptp.b)) % 1.40/1.66 (define @t59 () (not @t58)) % 1.40/1.66 (define @t60 () (tptp.sum tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity)) % 1.40/1.66 (define @t61 () (not @t60)) % 1.40/1.66 (define @t62 () (not @t51)) % 1.40/1.66 (define @t63 () (tptp.product tptp.additive_identity tptp.b tptp.additive_identity)) % 1.40/1.66 (define @t64 () (not @t63)) % 1.40/1.66 (define @t65 () (or @t64 @t62 @t61 @t59 @t57)) % 1.40/1.66 (define @t66 () (= tptp.additive_identity tptp.b)) % 1.40/1.66 (define @t67 () (not @t57)) % 1.40/1.66 (define @t68 () (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity)) % 1.40/1.66 (define @t69 () (not @t68)) % 1.40/1.66 (define @t70 () (or @t69 @t67 @t66)) % 1.40/1.66 (define @t71 () (not @t70)) % 1.40/1.66 (assume @p1 (forall @t2 (tptp.sum tptp.additive_identity @t1 @t1))) % 1.40/1.66 (assume @p2 (forall @t2 (tptp.sum @t1 tptp.additive_identity @t1))) % 1.40/1.66 (assume @p3 (forall @t4 (tptp.product @t1 @t3 (tptp.multiply @t1 @t3)))) % 1.40/1.66 (assume @p4 (forall @t4 (tptp.sum @t1 @t3 (tptp.add @t1 @t3)))) % 1.40/1.66 (assume @p5 (forall @t2 (tptp.sum @t5 @t1 tptp.additive_identity))) % 1.40/1.66 (assume @p6 (forall @t2 (tptp.sum @t1 @t5 tptp.additive_identity))) % 1.40/1.66 (assume @p7 (forall @t14 (or @t13 @t12 (not @t11) @t8))) % 1.40/1.66 (assume @p8 (forall @t14 (or @t13 @t12 (not @t8) @t11))) % 1.40/1.66 (assume @p9 (forall (@list @t1 @t3 @t9) (or (not (tptp.sum @t1 @t3 @t9)) (tptp.sum @t3 @t1 @t9)))) % 1.40/1.66 (assume @p10 (forall @t14 (or @t18 @t17 (not @t16) @t15))) % 1.40/1.66 (assume @p11 (forall @t14 (or @t18 @t17 (not @t15) @t16))) % 1.40/1.66 (assume @p12 (forall @t28 (or @t27 @t26 @t25 (not @t24) @t22))) % 1.40/1.66 (assume @p13 (forall @t28 (or @t27 @t26 @t25 @t29 @t24))) % 1.40/1.66 (assume @p14 (forall @t33 (or @t32 @t31 @t25 (not @t30) @t22))) % 1.40/1.66 (assume @p15 (forall @t33 (or @t32 @t31 @t25 @t29 @t30))) % 1.40/1.66 (assume @p16 @t36) % 1.40/1.66 (assume @p17 (forall @t35 (or @t18 (not (tptp.product @t1 @t3 @t7)) @t34))) % 1.40/1.66 (assume @p18 (forall @t38 (tptp.product tptp.additive_identity @t37 tptp.additive_identity))) % 1.40/1.66 (assume @p19 (forall @t38 (tptp.product @t37 tptp.additive_identity tptp.additive_identity))) % 1.40/1.66 (assume @p20 (forall @t38 (tptp.product @t37 tptp.multiplicative_identity @t37))) % 1.40/1.66 (assume @p21 (forall @t38 (tptp.product tptp.multiplicative_identity @t37 @t37))) % 1.40/1.66 (assume @p22 (forall @t38 (or (tptp.product @t37 @t40 tptp.multiplicative_identity) @t39))) % 1.40/1.66 (assume @p23 @t43) % 1.40/1.66 (assume @p24 @t44) % 1.40/1.66 (assume @p25 (not (= tptp.a tptp.additive_identity))) % 1.40/1.66 (assume @p26 (not (= tptp.b tptp.additive_identity))) % 1.40/1.66 (step @p27 :rule instantiate :premises (@p14) :args ((@list tptp.additive_identity tptp.b tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity tptp.multiplicative_identity tptp.b))) % 1.40/1.66 (step @p28 :rule instantiate :premises (@p21) :args (@t45)) % 1.40/1.66 (step @p29 :rule instantiate :premises (@p11) :args ((@list @t46 tptp.a tptp.multiplicative_identity tptp.b tptp.additive_identity tptp.additive_identity))) % 1.40/1.66 (step @p30 :rule instantiate :premises (@p19) :args ((@list @t46))) % 1.40/1.66 (step @p31 :rule eq-symm :args (@t37 tptp.additive_identity)) % 1.40/1.66 (step @p32 :rule refl :args (@t41)) % 1.40/1.66 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t42)) % 1.40/1.66 (step @p34 :rule cong :premises (@p33) :args (@t43)) % 1.40/1.66 (step @p35 :rule eq_resolve :premises (@p23 @p34)) % 1.40/1.66 (step @p36 :rule instantiate :premises (@p35) :args ((@list tptp.a))) % 1.40/1.66 (step @p37 :rule symm :premises (@p25)) % 1.40/1.66 (step @p38 :rule cnf_or_pos :args (@t49)) % 1.40/1.66 (step @p39 :rule reordering :premises (@p38) :args ((or @t47 @t48 (not @t49)))) % 1.40/1.66 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p36) :args (@t48 @t50 (@list @t47 @t49))) % 1.40/1.66 (step @p41 :rule cnf_or_pos :args (@t56)) % 1.40/1.66 (step @p42 :rule reordering :premises (@p41) :args ((or @t54 @t55 @t53 @t51 (not @t56)))) % 1.40/1.66 (step @p43 :rule chain_m_resolution :premises (@p42 @p24 @p40 @p30 @p29) :args (@t51 (@list false false false false) (@list @t44 @t48 @t52 @t56))) % 1.40/1.66 (step @p44 :rule instantiate :premises (@p18) :args (@t45)) % 1.40/1.66 (step @p45 :rule instantiate :premises (@p1) :args ((@list tptp.multiplicative_identity))) % 1.40/1.66 (step @p46 :rule cnf_or_pos :args (@t65)) % 1.40/1.66 (step @p47 :rule reordering :premises (@p46) :args ((or @t61 @t64 @t62 @t57 @t59 (not @t65)))) % 1.40/1.66 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p44 @p43 @p28 @p27) :args (@t57 (@list false false false false false) (@list @t60 @t63 @t51 @t58 @t65))) % 1.40/1.66 (step @p49 :rule instantiate :premises (@p1) :args ((@list tptp.additive_identity))) % 1.40/1.66 (step @p50 :rule symm :premises (@p26)) % 1.40/1.66 (step @p51 :rule cnf_or_pos :args (@t70)) % 1.40/1.66 (step @p52 :rule reordering :premises (@p51) :args ((or @t66 @t69 @t67 @t71))) % 1.40/1.66 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p49 @p48) :args (@t71 (@list true false false) (@list @t66 @t68 @t57))) % 1.40/1.66 (assume-push @p60 @t36) % 1.40/1.66 (step @p55 :rule instantiate :premises (@p16) :args ((@list tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.b))) % 1.40/1.66 (step-pop @p61 :rule scope :premises (@p55)) % 1.40/1.66 (step @p56 :rule process_scope :premises (@p61) :args (@t70)) % 1.40/1.66 (step @p58 :rule implies_elim :premises (@p56)) % 1.40/1.66 (step @p59 false :rule chain_m_resolution :premises (@p58 @p53 @p16) :args (false @t50 (@list @t70 @t36))) % 1.40/1.66 ) % 1.40/1.66 % SZS output end Proof % 1.40/1.66 % cvc5 exiting %------------------------------------------------------------------------------