%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG001-1 : 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 : n027.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 08:45:18 AM UTC 2026 % Result : Unsatisfiable 10.70s 10.93s % Output : Proof 10.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG001-1 : 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 % 0.15/0.34 % Computer : n027.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 13:54:21 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 10.70/10.93 % SZS status Unsatisfiable % 10.70/10.93 % SZS output start Proof % 10.70/10.93 ( % 10.70/10.93 (declare-sort $$unsorted 0) % 10.70/10.93 (declare-const tptp.a $$unsorted) % 10.70/10.93 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 10.70/10.93 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 10.70/10.93 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 10.70/10.93 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 10.70/10.93 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 10.70/10.93 (declare-const tptp.additive_identity $$unsorted) % 10.70/10.93 (define @t1 () (@var "X" $$unsorted)) % 10.70/10.93 (define @t2 () (@list @t1)) % 10.70/10.93 (define @t3 () (@var "Y" $$unsorted)) % 10.70/10.93 (define @t4 () (@list @t1 @t3)) % 10.70/10.93 (define @t5 () (tptp.additive_inverse @t1)) % 10.70/10.93 (define @t6 () (@var "W" $$unsorted)) % 10.70/10.93 (define @t7 () (@var "V" $$unsorted)) % 10.70/10.93 (define @t8 () (tptp.sum @t1 @t7 @t6)) % 10.70/10.93 (define @t9 () (@var "Z" $$unsorted)) % 10.70/10.93 (define @t10 () (@var "U" $$unsorted)) % 10.70/10.93 (define @t11 () (tptp.sum @t10 @t9 @t6)) % 10.70/10.93 (define @t12 () (not (tptp.sum @t3 @t9 @t7))) % 10.70/10.93 (define @t13 () (not (tptp.sum @t1 @t3 @t10))) % 10.70/10.93 (define @t14 () (@list @t1 @t3 @t10 @t9 @t7 @t6)) % 10.70/10.93 (define @t15 () (forall @t14 (or @t13 @t12 (not @t8) @t11))) % 10.70/10.93 (define @t16 () (tptp.product @t1 @t7 @t6)) % 10.70/10.93 (define @t17 () (tptp.product @t10 @t9 @t6)) % 10.70/10.93 (define @t18 () (not (tptp.product @t3 @t9 @t7))) % 10.70/10.93 (define @t19 () (not (tptp.product @t1 @t3 @t10))) % 10.70/10.93 (define @t20 () (@var "V4" $$unsorted)) % 10.70/10.93 (define @t21 () (@var "V2" $$unsorted)) % 10.70/10.93 (define @t22 () (@var "V1" $$unsorted)) % 10.70/10.93 (define @t23 () (tptp.sum @t22 @t21 @t20)) % 10.70/10.93 (define @t24 () (@var "V3" $$unsorted)) % 10.70/10.93 (define @t25 () (tptp.product @t1 @t24 @t20)) % 10.70/10.93 (define @t26 () (not (tptp.sum @t3 @t9 @t24))) % 10.70/10.93 (define @t27 () (not (tptp.product @t1 @t9 @t21))) % 10.70/10.93 (define @t28 () (not (tptp.product @t1 @t3 @t22))) % 10.70/10.93 (define @t29 () (@list @t1 @t3 @t22 @t9 @t21 @t24 @t20)) % 10.70/10.93 (define @t30 () (not @t23)) % 10.70/10.93 (define @t31 () (tptp.product @t24 @t1 @t20)) % 10.70/10.93 (define @t32 () (not (tptp.product @t9 @t1 @t21))) % 10.70/10.93 (define @t33 () (not (tptp.product @t3 @t1 @t22))) % 10.70/10.93 (define @t34 () (@list @t3 @t1 @t22 @t9 @t21 @t24 @t20)) % 10.70/10.93 (define @t35 () (= @t10 @t7)) % 10.70/10.93 (define @t36 () (@list @t1 @t3 @t10 @t7)) % 10.70/10.93 (define @t37 () (forall @t36 (or @t13 (not (tptp.sum @t1 @t3 @t7)) @t35))) % 10.70/10.93 (define @t38 () (tptp.multiply tptp.a tptp.additive_identity)) % 10.70/10.93 (define @t39 () (tptp.multiply tptp.additive_identity tptp.additive_identity)) % 10.70/10.93 (define @t40 () (tptp.sum @t39 @t39 tptp.additive_identity)) % 10.70/10.93 (define @t41 () (not @t40)) % 10.70/10.93 (define @t42 () (tptp.sum @t39 @t39 @t39)) % 10.70/10.93 (define @t43 () (not @t42)) % 10.70/10.93 (define @t44 () (or @t43 @t41 (= @t39 tptp.additive_identity))) % 10.70/10.93 (define @t45 () (= tptp.additive_identity @t39)) % 10.70/10.93 (define @t46 () (or @t43 @t41 @t45)) % 10.70/10.93 (define @t47 () (tptp.additive_inverse @t39)) % 10.70/10.93 (define @t48 () (@list @t39)) % 10.70/10.93 (define @t49 () (tptp.product tptp.additive_identity tptp.additive_identity @t39)) % 10.70/10.93 (define @t50 () (not @t49)) % 10.70/10.93 (define @t51 () (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity)) % 10.70/10.93 (define @t52 () (not @t51)) % 10.70/10.93 (define @t53 () (or @t50 @t50 @t52 @t50 @t42)) % 10.70/10.93 (define @t54 () (@list false false false)) % 10.70/10.93 (define @t55 () (tptp.sum @t47 @t39 @t39)) % 10.70/10.93 (define @t56 () (tptp.sum tptp.additive_identity @t39 @t39)) % 10.70/10.93 (define @t57 () (not @t56)) % 10.70/10.93 (define @t58 () (tptp.sum @t47 @t39 tptp.additive_identity)) % 10.70/10.93 (define @t59 () (not @t58)) % 10.70/10.93 (define @t60 () (or @t59 @t43 @t57 @t55)) % 10.70/10.93 (define @t61 () (@list false false false false)) % 10.70/10.93 (define @t62 () (not @t55)) % 10.70/10.93 (define @t63 () (or @t62 @t43 @t59 @t40)) % 10.70/10.93 (define @t64 () (tptp.product tptp.a tptp.additive_identity @t39)) % 10.70/10.93 (define @t65 () (tptp.product tptp.additive_identity tptp.additive_identity tptp.additive_identity)) % 10.70/10.93 (define @t66 () (or @t50 @t50 @t52 @t41 @t65)) % 10.70/10.93 (define @t67 () (not (tptp.sum tptp.additive_identity @t38 @t39))) % 10.70/10.93 (define @t68 () (tptp.sum tptp.additive_identity tptp.a tptp.a)) % 10.70/10.93 (define @t69 () (not @t68)) % 10.70/10.93 (define @t70 () (tptp.product tptp.a tptp.additive_identity @t38)) % 10.70/10.93 (define @t71 () (not @t70)) % 10.70/10.93 (define @t72 () (not @t65)) % 10.70/10.93 (define @t73 () (or @t72 @t71 @t69 @t67 @t64)) % 10.70/10.93 (define @t74 () (tptp.sum tptp.additive_identity @t38 tptp.additive_identity)) % 10.70/10.93 (define @t75 () (tptp.sum @t38 @t38 @t38)) % 10.70/10.93 (define @t76 () (or @t71 @t71 @t52 @t71 @t75)) % 10.70/10.93 (define @t77 () (tptp.additive_inverse @t38)) % 10.70/10.93 (define @t78 () (tptp.sum @t77 @t38 tptp.additive_identity)) % 10.70/10.93 (define @t79 () (not @t78)) % 10.70/10.93 (define @t80 () (not @t75)) % 10.70/10.93 (define @t81 () (or @t79 @t80 @t79 @t74)) % 10.70/10.93 (define @t82 () (not @t81)) % 10.70/10.93 (assume @p1 (forall @t2 (tptp.sum tptp.additive_identity @t1 @t1))) % 10.70/10.93 (assume @p2 (forall @t2 (tptp.sum @t1 tptp.additive_identity @t1))) % 10.70/10.93 (assume @p3 (forall @t4 (tptp.product @t1 @t3 (tptp.multiply @t1 @t3)))) % 10.70/10.93 (assume @p4 (forall @t4 (tptp.sum @t1 @t3 (tptp.add @t1 @t3)))) % 10.70/10.93 (assume @p5 (forall @t2 (tptp.sum @t5 @t1 tptp.additive_identity))) % 10.70/10.93 (assume @p6 (forall @t2 (tptp.sum @t1 @t5 tptp.additive_identity))) % 10.70/10.93 (assume @p7 (forall @t14 (or @t13 @t12 (not @t11) @t8))) % 10.70/10.93 (assume @p8 @t15) % 10.70/10.93 (assume @p9 (forall (@list @t1 @t3 @t9) (or (not (tptp.sum @t1 @t3 @t9)) (tptp.sum @t3 @t1 @t9)))) % 10.70/10.93 (assume @p10 (forall @t14 (or @t19 @t18 (not @t17) @t16))) % 10.70/10.93 (assume @p11 (forall @t14 (or @t19 @t18 (not @t16) @t17))) % 10.70/10.93 (assume @p12 (forall @t29 (or @t28 @t27 @t26 (not @t25) @t23))) % 10.70/10.93 (assume @p13 (forall @t29 (or @t28 @t27 @t26 @t30 @t25))) % 10.70/10.93 (assume @p14 (forall @t34 (or @t33 @t32 @t26 (not @t31) @t23))) % 10.70/10.93 (assume @p15 (forall @t34 (or @t33 @t32 @t26 @t30 @t31))) % 10.70/10.93 (assume @p16 @t37) % 10.70/10.93 (assume @p17 (forall @t36 (or @t19 (not (tptp.product @t1 @t3 @t7)) @t35))) % 10.70/10.93 (assume @p18 (not (tptp.product tptp.a tptp.additive_identity tptp.additive_identity))) % 10.70/10.93 (step @p19 :rule instantiate :premises (@p5) :args ((@list @t38))) % 10.70/10.93 (step @p20 :rule instantiate :premises (@p15) :args ((@list tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.a @t38 tptp.a @t39))) % 10.70/10.93 (step @p21 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.additive_identity))) % 10.70/10.93 (step @p22 :rule false_intro :premises (@p18)) % 10.70/10.93 (step @p23 :rule eq-symm :args (@t39 tptp.additive_identity)) % 10.70/10.93 (step @p24 :rule refl :args (@t41)) % 10.70/10.93 (step @p25 :rule refl :args (@t43)) % 10.70/10.93 (step @p26 :rule nary_cong :premises (@p25 @p24 @p23) :args (@t44)) % 10.70/10.93 (step @p27 :rule refl :args (@t37)) % 10.70/10.93 (step @p28 :rule cong :premises (@p27 @p26) :args ((=> @t37 @t44))) % 10.70/10.93 (assume-push @p91 @t37) % 10.70/10.93 (step @p30 :rule instantiate :premises (@p16) :args ((@list @t39 @t39 @t39 tptp.additive_identity))) % 10.70/10.93 (step-pop @p92 :rule scope :premises (@p30)) % 10.70/10.93 (step @p31 :rule process_scope :premises (@p92) :args (@t44)) % 10.70/10.93 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 10.70/10.93 (step @p34 :rule implies_elim :premises (@p33)) % 10.70/10.93 (step @p35 :rule chain_m_resolution :premises (@p34 @p16) :args (@t46 (@list false) (@list @t37))) % 10.70/10.93 (step @p36 :rule instantiate :premises (@p8) :args ((@list @t47 @t39 @t39 @t39 @t39 tptp.additive_identity))) % 10.70/10.93 (step @p37 :rule instantiate :premises (@p7) :args ((@list @t47 @t39 tptp.additive_identity @t39 @t39 @t39))) % 10.70/10.93 (step @p38 :rule instantiate :premises (@p5) :args (@t48)) % 10.70/10.93 (step @p39 :rule instantiate :premises (@p1) :args (@t48)) % 10.70/10.93 (step @p40 :rule instantiate :premises (@p12) :args ((@list tptp.additive_identity tptp.additive_identity @t39 tptp.additive_identity @t39 tptp.additive_identity @t39))) % 10.70/10.93 (step @p41 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity tptp.additive_identity))) % 10.70/10.93 (step @p42 :rule instantiate :premises (@p1) :args ((@list tptp.additive_identity))) % 10.70/10.93 (step @p43 :rule cnf_or_pos :args (@t53)) % 10.70/10.93 (step @p44 :rule factoring :premises (@p43)) % 10.70/10.93 (step @p45 :rule reordering :premises (@p44) :args ((or @t52 @t50 @t42 (not @t53)))) % 10.70/10.93 (step @p46 :rule chain_m_resolution :premises (@p45 @p42 @p41 @p40) :args (@t42 @t54 (@list @t51 @t49 @t53))) % 10.70/10.93 (step @p47 :rule cnf_or_pos :args (@t60)) % 10.70/10.93 (step @p48 :rule reordering :premises (@p47) :args ((or @t43 @t57 @t59 @t55 (not @t60)))) % 10.70/10.93 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p39 @p38 @p37) :args (@t55 @t61 (@list @t42 @t56 @t58 @t60))) % 10.70/10.93 (step @p50 :rule cnf_or_pos :args (@t63)) % 10.70/10.93 (step @p51 :rule reordering :premises (@p50) :args ((or @t43 @t40 @t59 @t62 (not @t63)))) % 10.70/10.93 (step @p52 :rule chain_m_resolution :premises (@p51 @p46 @p38 @p49 @p36) :args (@t40 @t61 (@list @t42 @t58 @t55 @t63))) % 10.70/10.93 (step @p53 :rule cnf_or_pos :args (@t46)) % 10.70/10.93 (step @p54 :rule reordering :premises (@p53) :args ((or @t43 @t41 @t45 (not @t46)))) % 10.70/10.93 (step @p55 :rule chain_m_resolution :premises (@p54 @p46 @p52 @p35) :args (@t45 @t54 (@list @t42 @t40 @t46))) % 10.70/10.93 (step @p56 :rule symm :premises (@p55)) % 10.70/10.93 (step @p57 :rule refl :args (tptp.additive_identity)) % 10.70/10.93 (step @p58 :rule refl :args (tptp.a)) % 10.70/10.93 (step @p59 :rule cong :premises (@p58 @p57 @p56) :args (@t64)) % 10.70/10.93 (step @p60 :rule trans :premises (@p59 @p22)) % 10.70/10.93 (step @p61 :rule false_elim :premises (@p60)) % 10.70/10.93 (step @p62 :rule instantiate :premises (@p1) :args ((@list tptp.a))) % 10.70/10.93 (step @p63 :rule instantiate :premises (@p13) :args ((@list tptp.additive_identity tptp.additive_identity @t39 tptp.additive_identity @t39 tptp.additive_identity tptp.additive_identity))) % 10.70/10.93 (step @p64 :rule cnf_or_pos :args (@t66)) % 10.70/10.93 (step @p65 :rule factoring :premises (@p64)) % 10.70/10.93 (step @p66 :rule reordering :premises (@p65) :args ((or @t52 @t65 @t50 @t41 (not @t66)))) % 10.70/10.93 (step @p67 :rule chain_m_resolution :premises (@p66 @p42 @p41 @p52 @p63) :args (@t65 @t61 (@list @t51 @t49 @t40 @t66))) % 10.70/10.93 (step @p68 :rule cnf_or_pos :args (@t73)) % 10.70/10.93 (step @p69 :rule reordering :premises (@p68) :args ((or @t72 @t69 @t64 @t71 @t67 (not @t73)))) % 10.70/10.93 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p62 @p61 @p21 @p20) :args (@t67 (@list false false true false false) (@list @t65 @t68 @t64 @t70 @t73))) % 10.70/10.93 (step @p71 :rule false_intro :premises (@p70)) % 10.70/10.93 (step @p72 :rule refl :args (@t38)) % 10.70/10.93 (step @p73 :rule cong :premises (@p57 @p72 @p55) :args (@t74)) % 10.70/10.93 (step @p74 :rule trans :premises (@p73 @p71)) % 10.70/10.93 (step @p75 :rule false_elim :premises (@p74)) % 10.70/10.93 (step @p76 :rule instantiate :premises (@p12) :args ((@list tptp.a tptp.additive_identity @t38 tptp.additive_identity @t38 tptp.additive_identity @t38))) % 10.70/10.93 (step @p77 :rule cnf_or_pos :args (@t76)) % 10.70/10.93 (step @p78 :rule factoring :premises (@p77)) % 10.70/10.93 (step @p79 :rule reordering :premises (@p78) :args ((or @t52 @t71 @t75 (not @t76)))) % 10.70/10.93 (step @p80 :rule chain_m_resolution :premises (@p79 @p42 @p21 @p76) :args (@t75 @t54 (@list @t51 @t70 @t76))) % 10.70/10.93 (step @p81 :rule cnf_or_pos :args (@t81)) % 10.70/10.93 (step @p82 :rule factoring :premises (@p81)) % 10.70/10.93 (step @p83 :rule reordering :premises (@p82) :args ((or @t80 @t74 @t79 @t82))) % 10.70/10.93 (step @p84 :rule chain_m_resolution :premises (@p83 @p80 @p75 @p19) :args (@t82 (@list false true false) (@list @t75 @t74 @t78))) % 10.70/10.93 (assume-push @p93 @t15) % 10.70/10.93 (step @p86 :rule instantiate :premises (@p8) :args ((@list @t77 @t38 tptp.additive_identity @t38 @t38 tptp.additive_identity))) % 10.70/10.93 (step-pop @p94 :rule scope :premises (@p86)) % 10.70/10.93 (step @p87 :rule process_scope :premises (@p94) :args (@t81)) % 10.70/10.93 (step @p89 :rule implies_elim :premises (@p87)) % 10.70/10.93 (step @p90 false :rule chain_m_resolution :premises (@p89 @p84 @p8) :args (false (@list true false) (@list @t81 @t15))) % 10.70/10.93 ) % 10.70/10.93 % SZS output end Proof % 10.70/10.93 % cvc5 exiting %------------------------------------------------------------------------------