%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM027-1 : TPTP v9.2.1. Bugfixed v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:38:23 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM027-1 : TPTP v9.2.1. Bugfixed v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n009.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 10:21:14 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.60 % SZS status Unsatisfiable % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (declare-const tptp.c $$unsorted) % 0.37/0.60 (declare-const tptp.a $$unsorted) % 0.37/0.60 (declare-const tptp.predecessor_of_1st_minus_2nd (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.b $$unsorted) % 0.37/0.60 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.n0 $$unsorted) % 0.37/0.60 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.60 (define @t2 () (@list @t1)) % 0.37/0.60 (define @t3 () (@var "B" $$unsorted)) % 0.37/0.60 (define @t4 () (tptp.successor @t3)) % 0.37/0.60 (define @t5 () (@list @t1 @t3)) % 0.37/0.60 (define @t6 () (tptp.equalish @t1 @t3)) % 0.37/0.60 (define @t7 () (tptp.successor @t1)) % 0.37/0.60 (define @t8 () (tptp.equalish @t7 @t4)) % 0.37/0.60 (define @t9 () (not @t6)) % 0.37/0.60 (define @t10 () (@var "C" $$unsorted)) % 0.37/0.60 (define @t11 () (tptp.less @t1 @t3)) % 0.37/0.60 (define @t12 () (not @t11)) % 0.37/0.60 (define @t13 () (@list @t1 @t3 @t10)) % 0.37/0.60 (define @t14 () (@var "X" $$unsorted)) % 0.37/0.60 (define @t15 () (@var "Y" $$unsorted)) % 0.37/0.60 (define @t16 () (not (tptp.equalish @t14 @t15))) % 0.37/0.60 (define @t17 () (@var "Z" $$unsorted)) % 0.37/0.60 (define @t18 () (tptp.multiply @t3 @t10)) % 0.37/0.60 (define @t19 () (tptp.multiply @t1 @t10)) % 0.37/0.60 (define @t20 () (forall @t13 (or @t9 (tptp.equalish @t19 @t18)))) % 0.37/0.60 (define @t21 () (tptp.less tptp.b tptp.a)) % 0.37/0.60 (define @t22 () (tptp.multiply tptp.a tptp.c)) % 0.37/0.60 (define @t23 () (tptp.multiply tptp.b tptp.c)) % 0.37/0.60 (define @t24 () (tptp.less @t23 @t22)) % 0.37/0.60 (define @t25 () (tptp.equalish tptp.c tptp.n0)) % 0.37/0.60 (define @t26 () (tptp.predecessor_of_1st_minus_2nd @t22 @t23)) % 0.37/0.60 (define @t27 () (tptp.add (tptp.successor @t26) @t23)) % 0.37/0.60 (define @t28 () (@list @t23 @t22)) % 0.37/0.60 (define @t29 () (tptp.equalish @t27 @t22)) % 0.37/0.60 (define @t30 () (not @t24)) % 0.37/0.60 (define @t31 () (or @t30 @t29)) % 0.37/0.60 (define @t32 () (@list false false)) % 0.37/0.60 (define @t33 () (tptp.equalish @t22 @t27)) % 0.37/0.60 (define @t34 () (not @t29)) % 0.37/0.60 (define @t35 () (or @t34 @t33)) % 0.37/0.60 (define @t36 () (tptp.equalish @t27 @t27)) % 0.37/0.60 (define @t37 () (not @t33)) % 0.37/0.60 (define @t38 () (or @t34 @t37 @t36)) % 0.37/0.60 (define @t39 () (tptp.less @t23 @t27)) % 0.37/0.60 (define @t40 () (not @t36)) % 0.37/0.60 (define @t41 () (or @t40 @t39)) % 0.37/0.60 (define @t42 () (tptp.less @t22 @t27)) % 0.37/0.60 (define @t43 () (not @t42)) % 0.37/0.60 (define @t44 () (or @t43 @t37)) % 0.37/0.60 (define @t45 () (tptp.less @t22 @t23)) % 0.37/0.60 (define @t46 () (not @t45)) % 0.37/0.60 (define @t47 () (not @t39)) % 0.37/0.60 (define @t48 () (or @t47 @t46 @t42)) % 0.37/0.60 (define @t49 () (tptp.less tptp.a tptp.b)) % 0.37/0.60 (define @t50 () (not @t49)) % 0.37/0.60 (define @t51 () (or @t50 @t25 @t45)) % 0.37/0.60 (define @t52 () (@list true true false)) % 0.37/0.60 (define @t53 () (tptp.equalish tptp.b tptp.a)) % 0.37/0.60 (define @t54 () (or @t49 @t53 @t21)) % 0.37/0.60 (define @t55 () (tptp.equalish @t23 @t22)) % 0.37/0.60 (define @t56 () (not @t55)) % 0.37/0.60 (define @t57 () (or @t30 @t56)) % 0.37/0.60 (define @t58 () (not @t53)) % 0.37/0.60 (define @t59 () (or @t58 @t55)) % 0.37/0.60 (define @t60 () (not @t59)) % 0.37/0.60 (define @t61 () (@list true false)) % 0.37/0.60 (assume @p1 (forall @t2 (tptp.equalish (tptp.add @t1 tptp.n0) @t1))) % 0.37/0.60 (assume @p2 (forall @t5 (tptp.equalish (tptp.add @t1 @t4) (tptp.successor (tptp.add @t1 @t3))))) % 0.37/0.60 (assume @p3 (forall @t2 (tptp.equalish (tptp.multiply @t1 tptp.n0) tptp.n0))) % 0.37/0.60 (assume @p4 (forall @t5 (tptp.equalish (tptp.multiply @t1 @t4) (tptp.add (tptp.multiply @t1 @t3) @t1)))) % 0.37/0.60 (assume @p5 (forall @t5 (or (not @t8) @t6))) % 0.37/0.60 (assume @p6 (forall @t5 (or @t9 @t8))) % 0.37/0.60 (assume @p7 (forall @t13 (or @t12 (not (tptp.less @t10 @t1)) (tptp.less @t10 @t3)))) % 0.37/0.60 (assume @p8 (forall @t13 (or (not (tptp.equalish (tptp.add @t7 @t3) @t10)) (tptp.less @t3 @t10)))) % 0.37/0.60 (assume @p9 (forall @t5 (or @t12 (tptp.equalish (tptp.add (tptp.successor (tptp.predecessor_of_1st_minus_2nd @t3 @t1)) @t1) @t3)))) % 0.37/0.60 (assume @p10 (forall (@list @t14) (tptp.equalish @t14 @t14))) % 0.37/0.60 (assume @p11 (forall (@list @t14 @t15) (or @t16 (tptp.equalish @t15 @t14)))) % 0.37/0.60 (assume @p12 (forall (@list @t14 @t15 @t17) (or @t16 (not (tptp.equalish @t15 @t17)) (tptp.equalish @t14 @t17)))) % 0.37/0.60 (assume @p13 @t20) % 0.37/0.60 (assume @p14 (forall @t5 (or @t12 @t9))) % 0.37/0.60 (assume @p15 (forall @t5 (or @t11 (tptp.equalish @t3 @t1) (tptp.less @t3 @t1)))) % 0.37/0.60 (assume @p16 (forall @t2 (not (tptp.less @t1 @t1)))) % 0.37/0.60 (assume @p17 (forall @t2 (not (tptp.equalish @t7 tptp.n0)))) % 0.37/0.60 (assume @p18 (forall @t13 (or @t12 (tptp.equalish @t10 tptp.n0) (tptp.less @t19 @t18)))) % 0.37/0.60 (assume @p19 (not @t21)) % 0.37/0.60 (assume @p20 @t24) % 0.37/0.60 (assume @p21 (not @t25)) % 0.37/0.60 (step @p22 :rule instantiate :premises (@p15) :args ((@list tptp.a tptp.b))) % 0.37/0.60 (step @p23 :rule instantiate :premises (@p18) :args ((@list tptp.a tptp.b tptp.c))) % 0.37/0.60 (step @p24 :rule instantiate :premises (@p7) :args ((@list @t23 @t27 @t22))) % 0.37/0.60 (step @p25 :rule instantiate :premises (@p8) :args ((@list @t26 @t23 @t27))) % 0.37/0.60 (step @p26 :rule instantiate :premises (@p12) :args ((@list @t27 @t22 @t27))) % 0.37/0.60 (step @p27 :rule instantiate :premises (@p11) :args ((@list @t27 @t22))) % 0.37/0.60 (step @p28 :rule instantiate :premises (@p9) :args (@t28)) % 0.37/0.60 (step @p29 :rule cnf_or_pos :args (@t31)) % 0.37/0.60 (step @p30 :rule reordering :premises (@p29) :args ((or @t30 @t29 (not @t31)))) % 0.37/0.60 (step @p31 :rule chain_m_resolution :premises (@p30 @p20 @p28) :args (@t29 @t32 (@list @t24 @t31))) % 0.37/0.60 (step @p32 :rule cnf_or_pos :args (@t35)) % 0.37/0.60 (step @p33 :rule reordering :premises (@p32) :args ((or @t34 @t33 (not @t35)))) % 0.37/0.60 (step @p34 :rule chain_m_resolution :premises (@p33 @p31 @p27) :args (@t33 @t32 (@list @t29 @t35))) % 0.37/0.60 (step @p35 :rule cnf_or_pos :args (@t38)) % 0.37/0.60 (step @p36 :rule reordering :premises (@p35) :args ((or @t34 @t37 @t36 (not @t38)))) % 0.37/0.60 (step @p37 :rule chain_m_resolution :premises (@p36 @p31 @p34 @p26) :args (@t36 (@list false false false) (@list @t29 @t33 @t38))) % 0.37/0.60 (step @p38 :rule cnf_or_pos :args (@t41)) % 0.37/0.60 (step @p39 :rule reordering :premises (@p38) :args ((or @t40 @t39 (not @t41)))) % 0.37/0.60 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p25) :args (@t39 @t32 (@list @t36 @t41))) % 0.37/0.60 (step @p41 :rule instantiate :premises (@p14) :args ((@list @t22 @t27))) % 0.37/0.60 (step @p42 :rule cnf_or_pos :args (@t44)) % 0.37/0.60 (step @p43 :rule reordering :premises (@p42) :args ((or @t37 @t43 (not @t44)))) % 0.37/0.60 (step @p44 :rule chain_m_resolution :premises (@p43 @p34 @p41) :args (@t43 @t32 (@list @t33 @t44))) % 0.37/0.60 (step @p45 :rule cnf_or_pos :args (@t48)) % 0.37/0.60 (step @p46 :rule reordering :premises (@p45) :args ((or @t42 @t47 @t46 (not @t48)))) % 0.37/0.60 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p40 @p24) :args (@t46 (@list true false false) (@list @t42 @t39 @t48))) % 0.37/0.60 (step @p48 :rule cnf_or_pos :args (@t51)) % 0.37/0.60 (step @p49 :rule reordering :premises (@p48) :args ((or @t25 @t50 @t45 (not @t51)))) % 0.37/0.60 (step @p50 :rule chain_m_resolution :premises (@p49 @p21 @p47 @p23) :args (@t50 @t52 (@list @t25 @t45 @t51))) % 0.37/0.60 (step @p51 :rule cnf_or_pos :args (@t54)) % 0.37/0.60 (step @p52 :rule reordering :premises (@p51) :args ((or @t21 @t49 @t53 (not @t54)))) % 0.37/0.60 (step @p53 :rule chain_m_resolution :premises (@p52 @p19 @p50 @p22) :args (@t53 @t52 (@list @t21 @t49 @t54))) % 0.37/0.60 (step @p54 :rule instantiate :premises (@p14) :args (@t28)) % 0.37/0.60 (step @p55 :rule cnf_or_pos :args (@t57)) % 0.37/0.60 (step @p56 :rule reordering :premises (@p55) :args ((or @t30 @t56 (not @t57)))) % 0.37/0.60 (step @p57 :rule chain_m_resolution :premises (@p56 @p20 @p54) :args (@t56 @t32 (@list @t24 @t57))) % 0.37/0.60 (step @p58 :rule cnf_or_pos :args (@t59)) % 0.37/0.60 (step @p59 :rule reordering :premises (@p58) :args ((or @t55 @t58 @t60))) % 0.37/0.60 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p53) :args (@t60 @t61 (@list @t55 @t53))) % 0.37/0.60 (assume-push @p67 @t20) % 0.37/0.60 (step @p62 :rule instantiate :premises (@p13) :args ((@list tptp.b tptp.a tptp.c))) % 0.37/0.60 (step-pop @p68 :rule scope :premises (@p62)) % 0.37/0.60 (step @p63 :rule process_scope :premises (@p68) :args (@t59)) % 0.37/0.60 (step @p65 :rule implies_elim :premises (@p63)) % 0.37/0.60 (step @p66 false :rule chain_m_resolution :premises (@p65 @p60 @p13) :args (false @t61 (@list @t59 @t20))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------