%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG003-1 : 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 : n005.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 08:45:19 AM UTC 2026 % Result : Unsatisfiable 5.01s 5.29s % Output : Proof 5.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG003-1 : TPTP v9.2.1. Released v1.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.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 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 13:54:33 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 5.01/5.29 % SZS status Unsatisfiable % 5.01/5.29 % SZS output start Proof % 5.01/5.29 ( % 5.01/5.29 (declare-sort $$unsorted 0) % 5.01/5.29 (declare-const tptp.b $$unsorted) % 5.01/5.29 (declare-const tptp.a $$unsorted) % 5.01/5.29 (declare-const tptp.c $$unsorted) % 5.01/5.29 (declare-const tptp.d $$unsorted) % 5.01/5.29 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 5.01/5.29 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 5.01/5.29 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.01/5.29 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 5.01/5.29 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.01/5.29 (declare-const tptp.additive_identity $$unsorted) % 5.01/5.29 (define @t1 () (@var "X" $$unsorted)) % 5.01/5.29 (define @t2 () (@list @t1)) % 5.01/5.29 (define @t3 () (@var "Y" $$unsorted)) % 5.01/5.29 (define @t4 () (@list @t1 @t3)) % 5.01/5.29 (define @t5 () (tptp.additive_inverse @t1)) % 5.01/5.29 (define @t6 () (@var "W" $$unsorted)) % 5.01/5.29 (define @t7 () (@var "V" $$unsorted)) % 5.01/5.29 (define @t8 () (tptp.sum @t1 @t7 @t6)) % 5.01/5.29 (define @t9 () (@var "Z" $$unsorted)) % 5.01/5.29 (define @t10 () (@var "U" $$unsorted)) % 5.01/5.29 (define @t11 () (tptp.sum @t10 @t9 @t6)) % 5.01/5.29 (define @t12 () (not (tptp.sum @t3 @t9 @t7))) % 5.01/5.29 (define @t13 () (not (tptp.sum @t1 @t3 @t10))) % 5.01/5.29 (define @t14 () (@list @t1 @t3 @t10 @t9 @t7 @t6)) % 5.01/5.29 (define @t15 () (tptp.product @t1 @t7 @t6)) % 5.01/5.29 (define @t16 () (tptp.product @t10 @t9 @t6)) % 5.01/5.29 (define @t17 () (not (tptp.product @t3 @t9 @t7))) % 5.01/5.29 (define @t18 () (not (tptp.product @t1 @t3 @t10))) % 5.01/5.29 (define @t19 () (@var "V4" $$unsorted)) % 5.01/5.29 (define @t20 () (@var "V2" $$unsorted)) % 5.01/5.29 (define @t21 () (@var "V1" $$unsorted)) % 5.01/5.29 (define @t22 () (tptp.sum @t21 @t20 @t19)) % 5.01/5.29 (define @t23 () (@var "V3" $$unsorted)) % 5.01/5.29 (define @t24 () (tptp.product @t1 @t23 @t19)) % 5.01/5.29 (define @t25 () (not (tptp.sum @t3 @t9 @t23))) % 5.01/5.29 (define @t26 () (not (tptp.product @t1 @t9 @t20))) % 5.01/5.29 (define @t27 () (not (tptp.product @t1 @t3 @t21))) % 5.01/5.29 (define @t28 () (@list @t1 @t3 @t21 @t9 @t20 @t23 @t19)) % 5.01/5.29 (define @t29 () (not @t22)) % 5.01/5.29 (define @t30 () (tptp.product @t23 @t1 @t19)) % 5.01/5.29 (define @t31 () (not (tptp.product @t9 @t1 @t20))) % 5.01/5.29 (define @t32 () (not (tptp.product @t3 @t1 @t21))) % 5.01/5.29 (define @t33 () (@list @t3 @t1 @t21 @t9 @t20 @t23 @t19)) % 5.01/5.29 (define @t34 () (= @t10 @t7)) % 5.01/5.29 (define @t35 () (@list @t1 @t3 @t10 @t7)) % 5.01/5.29 (define @t36 () (forall @t35 (or @t13 (not (tptp.sum @t1 @t3 @t7)) @t34))) % 5.01/5.29 (define @t37 () (tptp.sum tptp.a tptp.c tptp.d)) % 5.01/5.29 (define @t38 () (tptp.sum tptp.b tptp.c tptp.d)) % 5.01/5.29 (define @t39 () (tptp.add tptp.additive_identity tptp.a)) % 5.01/5.29 (define @t40 () (tptp.sum tptp.additive_identity tptp.a tptp.b)) % 5.01/5.29 (define @t41 () (not @t40)) % 5.01/5.29 (define @t42 () (tptp.sum tptp.additive_identity tptp.a @t39)) % 5.01/5.29 (define @t43 () (not @t42)) % 5.01/5.29 (define @t44 () (or @t43 @t41 (= @t39 tptp.b))) % 5.01/5.29 (define @t45 () (= tptp.b @t39)) % 5.01/5.29 (define @t46 () (or @t43 @t41 @t45)) % 5.01/5.29 (define @t47 () (@list false)) % 5.01/5.29 (define @t48 () (@list @t36)) % 5.01/5.29 (define @t49 () (tptp.additive_inverse tptp.c)) % 5.01/5.29 (define @t50 () (@list tptp.c)) % 5.01/5.29 (define @t51 () (tptp.sum tptp.c tptp.a tptp.d)) % 5.01/5.29 (define @t52 () (not @t37)) % 5.01/5.29 (define @t53 () (or @t52 @t51)) % 5.01/5.29 (define @t54 () (@list false false)) % 5.01/5.29 (define @t55 () (tptp.sum @t49 tptp.d @t39)) % 5.01/5.29 (define @t56 () (not @t51)) % 5.01/5.29 (define @t57 () (tptp.sum @t49 tptp.c tptp.additive_identity)) % 5.01/5.29 (define @t58 () (not @t57)) % 5.01/5.29 (define @t59 () (or @t58 @t56 @t43 @t55)) % 5.01/5.29 (define @t60 () (@list false false false false)) % 5.01/5.29 (define @t61 () (tptp.sum tptp.d @t49 @t39)) % 5.01/5.29 (define @t62 () (not @t55)) % 5.01/5.29 (define @t63 () (or @t62 @t61)) % 5.01/5.29 (define @t64 () (tptp.sum tptp.b tptp.additive_identity @t39)) % 5.01/5.29 (define @t65 () (not @t61)) % 5.01/5.29 (define @t66 () (tptp.sum tptp.c @t49 tptp.additive_identity)) % 5.01/5.29 (define @t67 () (not @t66)) % 5.01/5.29 (define @t68 () (not @t38)) % 5.01/5.29 (define @t69 () (or @t68 @t67 @t65 @t64)) % 5.01/5.29 (define @t70 () (tptp.sum tptp.additive_identity tptp.b @t39)) % 5.01/5.29 (define @t71 () (not @t64)) % 5.01/5.29 (define @t72 () (or @t71 @t70)) % 5.01/5.29 (define @t73 () (tptp.sum tptp.additive_identity tptp.a tptp.a)) % 5.01/5.29 (define @t74 () (not @t73)) % 5.01/5.29 (define @t75 () (or @t43 @t74 (= @t39 tptp.a))) % 5.01/5.29 (define @t76 () (= tptp.a @t39)) % 5.01/5.29 (define @t77 () (or @t43 @t74 @t76)) % 5.01/5.29 (define @t78 () (@list false false false)) % 5.01/5.29 (define @t79 () (tptp.sum tptp.additive_identity tptp.b tptp.a)) % 5.01/5.29 (define @t80 () (tptp.sum tptp.additive_identity tptp.b tptp.b)) % 5.01/5.29 (define @t81 () (not @t80)) % 5.01/5.29 (define @t82 () (not @t79)) % 5.01/5.29 (define @t83 () (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity)) % 5.01/5.29 (define @t84 () (not @t83)) % 5.01/5.29 (define @t85 () (or @t84 @t82 @t81 @t40)) % 5.01/5.29 (assume @p1 (forall @t2 (tptp.sum tptp.additive_identity @t1 @t1))) % 5.01/5.29 (assume @p2 (forall @t2 (tptp.sum @t1 tptp.additive_identity @t1))) % 5.01/5.29 (assume @p3 (forall @t4 (tptp.product @t1 @t3 (tptp.multiply @t1 @t3)))) % 5.01/5.29 (assume @p4 (forall @t4 (tptp.sum @t1 @t3 (tptp.add @t1 @t3)))) % 5.01/5.29 (assume @p5 (forall @t2 (tptp.sum @t5 @t1 tptp.additive_identity))) % 5.01/5.29 (assume @p6 (forall @t2 (tptp.sum @t1 @t5 tptp.additive_identity))) % 5.01/5.29 (assume @p7 (forall @t14 (or @t13 @t12 (not @t11) @t8))) % 5.01/5.29 (assume @p8 (forall @t14 (or @t13 @t12 (not @t8) @t11))) % 5.01/5.29 (assume @p9 (forall (@list @t1 @t3 @t9) (or (not (tptp.sum @t1 @t3 @t9)) (tptp.sum @t3 @t1 @t9)))) % 5.01/5.29 (assume @p10 (forall @t14 (or @t18 @t17 (not @t16) @t15))) % 5.01/5.29 (assume @p11 (forall @t14 (or @t18 @t17 (not @t15) @t16))) % 5.01/5.29 (assume @p12 (forall @t28 (or @t27 @t26 @t25 (not @t24) @t22))) % 5.01/5.29 (assume @p13 (forall @t28 (or @t27 @t26 @t25 @t29 @t24))) % 5.01/5.29 (assume @p14 (forall @t33 (or @t32 @t31 @t25 (not @t30) @t22))) % 5.01/5.29 (assume @p15 (forall @t33 (or @t32 @t31 @t25 @t29 @t30))) % 5.01/5.29 (assume @p16 @t36) % 5.01/5.29 (assume @p17 (forall @t35 (or @t18 (not (tptp.product @t1 @t3 @t7)) @t34))) % 5.01/5.29 (assume @p18 @t37) % 5.01/5.29 (assume @p19 @t38) % 5.01/5.29 (assume @p20 (not (= tptp.a tptp.b))) % 5.01/5.29 (step @p21 :rule evaluate :args ((= false true))) % 5.01/5.29 (step @p22 :rule eq-symm :args (@t39 tptp.b)) % 5.01/5.29 (step @p23 :rule refl :args (@t41)) % 5.01/5.29 (step @p24 :rule refl :args (@t43)) % 5.01/5.29 (step @p25 :rule nary_cong :premises (@p24 @p23 @p22) :args (@t44)) % 5.01/5.29 (step @p26 :rule refl :args (@t36)) % 5.01/5.29 (step @p27 :rule cong :premises (@p26 @p25) :args ((=> @t36 @t44))) % 5.01/5.29 (assume-push @p95 @t36) % 5.01/5.29 (step @p29 :rule instantiate :premises (@p16) :args ((@list tptp.additive_identity tptp.a @t39 tptp.b))) % 5.01/5.29 (step-pop @p96 :rule scope :premises (@p29)) % 5.01/5.29 (step @p30 :rule process_scope :premises (@p96) :args (@t44)) % 5.01/5.29 (step @p32 :rule eq_resolve :premises (@p30 @p27)) % 5.01/5.29 (step @p33 :rule implies_elim :premises (@p32)) % 5.01/5.29 (step @p34 :rule chain_m_resolution :premises (@p33 @p16) :args (@t46 @t47 @t48)) % 5.01/5.29 (step @p35 :rule instantiate :premises (@p7) :args ((@list tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.b tptp.a tptp.b))) % 5.01/5.29 (step @p36 :rule instantiate :premises (@p1) :args ((@list tptp.b))) % 5.01/5.29 (step @p37 :rule instantiate :premises (@p9) :args ((@list tptp.b tptp.additive_identity @t39))) % 5.01/5.29 (step @p38 :rule instantiate :premises (@p7) :args ((@list tptp.b tptp.c tptp.d @t49 tptp.additive_identity @t39))) % 5.01/5.29 (step @p39 :rule instantiate :premises (@p9) :args ((@list @t49 tptp.d @t39))) % 5.01/5.29 (step @p40 :rule instantiate :premises (@p7) :args ((@list @t49 tptp.c tptp.additive_identity tptp.a tptp.d @t39))) % 5.01/5.29 (step @p41 :rule instantiate :premises (@p5) :args (@t50)) % 5.01/5.29 (step @p42 :rule instantiate :premises (@p4) :args ((@list tptp.additive_identity tptp.a))) % 5.01/5.29 (step @p43 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.c tptp.d))) % 5.01/5.29 (step @p44 :rule cnf_or_pos :args (@t53)) % 5.01/5.29 (step @p45 :rule reordering :premises (@p44) :args ((or @t52 @t51 (not @t53)))) % 5.01/5.29 (step @p46 :rule chain_m_resolution :premises (@p45 @p18 @p43) :args (@t51 @t54 (@list @t37 @t53))) % 5.01/5.29 (step @p47 :rule cnf_or_pos :args (@t59)) % 5.01/5.29 (step @p48 :rule reordering :premises (@p47) :args ((or @t56 @t43 @t58 @t55 (not @t59)))) % 5.01/5.29 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p42 @p41 @p40) :args (@t55 @t60 (@list @t51 @t42 @t57 @t59))) % 5.01/5.29 (step @p50 :rule cnf_or_pos :args (@t63)) % 5.01/5.29 (step @p51 :rule reordering :premises (@p50) :args ((or @t62 @t61 (not @t63)))) % 5.01/5.29 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p39) :args (@t61 @t54 (@list @t55 @t63))) % 5.01/5.29 (step @p53 :rule instantiate :premises (@p6) :args (@t50)) % 5.01/5.29 (step @p54 :rule cnf_or_pos :args (@t69)) % 5.01/5.29 (step @p55 :rule reordering :premises (@p54) :args ((or @t68 @t67 @t65 @t64 (not @t69)))) % 5.01/5.29 (step @p56 :rule chain_m_resolution :premises (@p55 @p19 @p53 @p52 @p38) :args (@t64 @t60 (@list @t38 @t66 @t61 @t69))) % 5.01/5.29 (step @p57 :rule cnf_or_pos :args (@t72)) % 5.01/5.29 (step @p58 :rule reordering :premises (@p57) :args ((or @t71 @t70 (not @t72)))) % 5.01/5.29 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p37) :args (@t70 @t54 (@list @t64 @t72))) % 5.01/5.29 (step @p60 :rule true_intro :premises (@p59)) % 5.01/5.29 (step @p61 :rule eq-symm :args (@t39 tptp.a)) % 5.01/5.29 (step @p62 :rule refl :args (@t74)) % 5.01/5.29 (step @p63 :rule nary_cong :premises (@p24 @p62 @p61) :args (@t75)) % 5.01/5.29 (step @p64 :rule cong :premises (@p26 @p63) :args ((=> @t36 @t75))) % 5.01/5.29 (assume-push @p97 @t36) % 5.01/5.29 (step @p66 :rule instantiate :premises (@p16) :args ((@list tptp.additive_identity tptp.a @t39 tptp.a))) % 5.01/5.29 (step-pop @p98 :rule scope :premises (@p66)) % 5.01/5.29 (step @p67 :rule process_scope :premises (@p98) :args (@t75)) % 5.01/5.29 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 5.01/5.29 (step @p70 :rule implies_elim :premises (@p69)) % 5.01/5.29 (step @p71 :rule chain_m_resolution :premises (@p70 @p16) :args (@t77 @t47 @t48)) % 5.01/5.29 (step @p72 :rule instantiate :premises (@p1) :args ((@list tptp.a))) % 5.01/5.29 (step @p73 :rule cnf_or_pos :args (@t77)) % 5.01/5.29 (step @p74 :rule reordering :premises (@p73) :args ((or @t74 @t43 @t76 (not @t77)))) % 5.01/5.29 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p42 @p71) :args (@t76 @t78 (@list @t73 @t42 @t77))) % 5.01/5.29 (step @p76 :rule refl :args (tptp.b)) % 5.01/5.29 (step @p77 :rule refl :args (tptp.additive_identity)) % 5.01/5.29 (step @p78 :rule cong :premises (@p77 @p76 @p75) :args (@t79)) % 5.01/5.29 (step @p79 :rule trans :premises (@p78 @p60)) % 5.01/5.29 (step @p80 :rule true_elim :premises (@p79)) % 5.01/5.29 (step @p81 :rule instantiate :premises (@p1) :args ((@list tptp.additive_identity))) % 5.01/5.29 (step @p82 :rule cnf_or_pos :args (@t85)) % 5.01/5.29 (step @p83 :rule reordering :premises (@p82) :args ((or @t84 @t82 @t40 @t81 (not @t85)))) % 5.01/5.29 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p80 @p36 @p35) :args (@t40 @t60 (@list @t83 @t79 @t80 @t85))) % 5.01/5.29 (step @p85 :rule cnf_or_pos :args (@t46)) % 5.01/5.29 (step @p86 :rule reordering :premises (@p85) :args ((or @t43 @t41 @t45 (not @t46)))) % 5.01/5.29 (step @p87 :rule chain_m_resolution :premises (@p86 @p42 @p84 @p34) :args (@t45 @t78 (@list @t42 @t40 @t46))) % 5.01/5.29 (step @p88 :rule symm :premises (@p87)) % 5.01/5.29 (step @p89 :rule trans :premises (@p75 @p88)) % 5.01/5.29 (step @p90 :rule true_intro :premises (@p89)) % 5.01/5.29 (step @p91 :rule false_intro :premises (@p20)) % 5.01/5.29 (step @p92 :rule symm :premises (@p91)) % 5.01/5.29 (step @p93 :rule trans :premises (@p92 @p90)) % 5.01/5.29 (step @p94 false :rule eq_resolve :premises (@p93 @p21)) % 5.01/5.29 ) % 5.01/5.30 % SZS output end Proof % 5.13/5.30 % cvc5 exiting %------------------------------------------------------------------------------