%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA003-2 : 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 : n017.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 08:06:29 AM UTC 2026 % Result : Unsatisfiable 2.23s 2.45s % Output : Proof 2.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ANA003-2 : 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 % 0.18/0.34 % Computer : n017.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 : Wed Jun 3 02:13:16 EDT 2026 % 0.18/0.34 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.23/2.45 % SZS status Unsatisfiable % 2.23/2.45 % SZS output start Proof % 2.23/2.45 ( % 2.23/2.45 (declare-sort $$unsorted 0) % 2.23/2.45 (declare-const tptp.fp33 (-> $$unsorted $$unsorted)) % 2.23/2.45 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 2.23/2.45 (declare-const tptp.n0 $$unsorted) % 2.23/2.45 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 2.23/2.45 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 2.23/2.45 (declare-const tptp.l2 $$unsorted) % 2.23/2.45 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 2.23/2.45 (declare-const tptp.a $$unsorted) % 2.23/2.45 (declare-const tptp.minus (-> $$unsorted $$unsorted)) % 2.23/2.45 (declare-const tptp.minimum (-> $$unsorted $$unsorted $$unsorted)) % 2.23/2.45 (declare-const tptp.absolute (-> $$unsorted $$unsorted)) % 2.23/2.45 (declare-const tptp.half (-> $$unsorted $$unsorted)) % 2.23/2.45 (declare-const tptp.fp31 (-> $$unsorted $$unsorted)) % 2.23/2.45 (declare-const tptp.b $$unsorted) % 2.23/2.45 (declare-const tptp.l1 $$unsorted) % 2.23/2.45 (declare-const tptp.fp32 (-> $$unsorted $$unsorted)) % 2.23/2.45 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 2.23/2.45 (define @t1 () (@var "X" $$unsorted)) % 2.23/2.45 (define @t2 () (@list @t1)) % 2.23/2.45 (define @t3 () (@var "Z" $$unsorted)) % 2.23/2.45 (define @t4 () (@var "Y" $$unsorted)) % 2.23/2.45 (define @t5 () (tptp.minimum @t1 @t4)) % 2.23/2.45 (define @t6 () (not (tptp.less_than tptp.n0 @t4))) % 2.23/2.45 (define @t7 () (not (tptp.less_than tptp.n0 @t1))) % 2.23/2.45 (define @t8 () (@list @t1 @t4)) % 2.23/2.45 (define @t9 () (@var "Xa" $$unsorted)) % 2.23/2.45 (define @t10 () (tptp.add @t1 @t4)) % 2.23/2.45 (define @t11 () (tptp.half @t9)) % 2.23/2.45 (define @t12 () (tptp.fp31 @t1)) % 2.23/2.45 (define @t13 () (tptp.minus tptp.l1)) % 2.23/2.45 (define @t14 () (tptp.minus tptp.a)) % 2.23/2.45 (define @t15 () (tptp.absolute (tptp.add @t4 @t14))) % 2.23/2.45 (define @t16 () (tptp.fp32 @t1)) % 2.23/2.45 (define @t17 () (tptp.minus tptp.l2)) % 2.23/2.45 (define @t18 () (tptp.less_than tptp.n0 tptp.b)) % 2.23/2.45 (define @t19 () (tptp.fp33 @t1)) % 2.23/2.45 (define @t20 () (tptp.half tptp.b)) % 2.23/2.45 (define @t21 () (tptp.fp31 @t20)) % 2.23/2.45 (define @t22 () (tptp.fp32 @t20)) % 2.23/2.45 (define @t23 () (tptp.minimum @t22 @t21)) % 2.23/2.45 (define @t24 () (@list @t23)) % 2.23/2.45 (define @t25 () (@list @t22 @t21)) % 2.23/2.45 (define @t26 () (@list @t20)) % 2.23/2.45 (define @t27 () (tptp.less_than tptp.n0 @t20)) % 2.23/2.45 (define @t28 () (not @t18)) % 2.23/2.45 (define @t29 () (or @t28 @t27)) % 2.23/2.45 (define @t30 () (@list false false)) % 2.23/2.45 (define @t31 () (tptp.less_than tptp.n0 @t22)) % 2.23/2.46 (define @t32 () (not @t27)) % 2.23/2.46 (define @t33 () (or @t32 @t31)) % 2.23/2.46 (define @t34 () (tptp.less_than tptp.n0 @t21)) % 2.23/2.46 (define @t35 () (or @t32 @t34)) % 2.23/2.46 (define @t36 () (tptp.less_than tptp.n0 @t23)) % 2.23/2.46 (define @t37 () (not @t34)) % 2.23/2.46 (define @t38 () (not @t31)) % 2.23/2.46 (define @t39 () (or @t38 @t37 @t36)) % 2.23/2.46 (define @t40 () (@list false false false)) % 2.23/2.46 (define @t41 () (tptp.fp33 @t23)) % 2.23/2.46 (define @t42 () (tptp.absolute (tptp.add (tptp.g @t41) @t17))) % 2.23/2.46 (define @t43 () (tptp.absolute (tptp.add (tptp.f @t41) @t13))) % 2.23/2.46 (define @t44 () (tptp.less_than (tptp.add @t43 @t42) tptp.b)) % 2.23/2.46 (define @t45 () (not @t44)) % 2.23/2.46 (define @t46 () (not @t36)) % 2.23/2.46 (define @t47 () (or @t46 @t45)) % 2.23/2.46 (define @t48 () (@list @t20 @t41)) % 2.23/2.46 (define @t49 () (tptp.absolute (tptp.add @t41 @t14))) % 2.23/2.46 (define @t50 () (tptp.less_than @t49 @t23)) % 2.23/2.46 (define @t51 () (or @t46 @t50)) % 2.23/2.46 (define @t52 () (tptp.less_than @t23 @t21)) % 2.23/2.46 (define @t53 () (or @t38 @t37 @t52)) % 2.23/2.46 (define @t54 () (tptp.less_than @t49 @t21)) % 2.23/2.46 (define @t55 () (not @t52)) % 2.23/2.46 (define @t56 () (not @t50)) % 2.23/2.46 (define @t57 () (or @t56 @t55 @t54)) % 2.23/2.46 (define @t58 () (tptp.less_than @t43 @t20)) % 2.23/2.46 (define @t59 () (not @t54)) % 2.23/2.46 (define @t60 () (or @t32 @t59 @t58)) % 2.23/2.46 (define @t61 () (tptp.less_than @t23 @t22)) % 2.23/2.46 (define @t62 () (or @t38 @t37 @t61)) % 2.23/2.46 (define @t63 () (tptp.less_than @t49 @t22)) % 2.23/2.46 (define @t64 () (not @t61)) % 2.23/2.46 (define @t65 () (or @t56 @t64 @t63)) % 2.23/2.46 (define @t66 () (tptp.less_than @t42 @t20)) % 2.23/2.46 (define @t67 () (not @t63)) % 2.23/2.46 (define @t68 () (or @t32 @t67 @t66)) % 2.23/2.46 (define @t69 () (not @t66)) % 2.23/2.46 (define @t70 () (not @t58)) % 2.23/2.46 (define @t71 () (or @t70 @t69 @t44)) % 2.23/2.46 (assume @p1 (forall @t2 (tptp.equalish (tptp.add @t1 tptp.n0) @t1))) % 2.23/2.46 (assume @p2 (forall @t2 (tptp.equalish (tptp.add tptp.n0 @t1) @t1))) % 2.23/2.46 (assume @p3 (forall @t2 (not (tptp.less_than @t1 @t1)))) % 2.23/2.46 (assume @p4 (forall (@list @t1 @t4 @t3) (or (not (tptp.less_than @t1 @t4)) (not (tptp.less_than @t4 @t3)) (tptp.less_than @t1 @t3)))) % 2.23/2.46 (assume @p5 (forall @t8 (or @t7 @t6 (tptp.less_than tptp.n0 @t5)))) % 2.23/2.46 (assume @p6 (forall @t8 (or @t7 @t6 (tptp.less_than @t5 @t1)))) % 2.23/2.46 (assume @p7 (forall @t8 (or @t7 @t6 (tptp.less_than @t5 @t4)))) % 2.23/2.46 (assume @p8 (forall (@list @t1 @t9 @t4) (or (not (tptp.less_than @t1 @t11)) (not (tptp.less_than @t4 @t11)) (tptp.less_than @t10 @t9)))) % 2.23/2.46 (assume @p9 (forall (@list @t1 @t4 @t9) (or (not (tptp.less_than (tptp.add (tptp.absolute @t1) (tptp.absolute @t4)) @t9)) (tptp.less_than (tptp.absolute @t10) @t9)))) % 2.23/2.46 (assume @p10 (forall (@list @t9) (or (not (tptp.less_than tptp.n0 @t9)) (tptp.less_than tptp.n0 @t11)))) % 2.23/2.46 (assume @p11 (forall @t2 (or @t7 (tptp.less_than tptp.n0 @t12)))) % 2.23/2.46 (assume @p12 (forall @t8 (or @t7 (not (tptp.less_than @t15 @t12)) (tptp.less_than (tptp.absolute (tptp.add (tptp.f @t4) @t13)) @t1)))) % 2.23/2.46 (assume @p13 (forall @t2 (or @t7 (tptp.less_than tptp.n0 @t16)))) % 2.23/2.46 (assume @p14 (forall @t8 (or @t7 (not (tptp.less_than @t15 @t16)) (tptp.less_than (tptp.absolute (tptp.add (tptp.g @t4) @t17)) @t1)))) % 2.23/2.46 (assume @p15 @t18) % 2.23/2.46 (assume @p16 (forall @t2 (or @t7 (tptp.less_than (tptp.absolute (tptp.add @t19 @t14)) @t1)))) % 2.23/2.46 (assume @p17 (forall @t2 (or @t7 (not (tptp.less_than (tptp.add (tptp.absolute (tptp.add (tptp.f @t19) @t13)) (tptp.absolute (tptp.add (tptp.g @t19) @t17))) tptp.b))))) % 2.23/2.46 (step @p18 :rule instantiate :premises (@p17) :args (@t24)) % 2.23/2.46 (step @p19 :rule instantiate :premises (@p5) :args (@t25)) % 2.23/2.46 (step @p20 :rule instantiate :premises (@p13) :args (@t26)) % 2.23/2.46 (step @p21 :rule instantiate :premises (@p10) :args ((@list tptp.b))) % 2.23/2.46 (step @p22 :rule cnf_or_pos :args (@t29)) % 2.23/2.46 (step @p23 :rule reordering :premises (@p22) :args ((or @t28 @t27 (not @t29)))) % 2.23/2.46 (step @p24 :rule chain_m_resolution :premises (@p23 @p15 @p21) :args (@t27 @t30 (@list @t18 @t29))) % 2.23/2.46 (step @p25 :rule cnf_or_pos :args (@t33)) % 2.23/2.46 (step @p26 :rule reordering :premises (@p25) :args ((or @t32 @t31 (not @t33)))) % 2.23/2.46 (step @p27 :rule chain_m_resolution :premises (@p26 @p24 @p20) :args (@t31 @t30 (@list @t27 @t33))) % 2.23/2.46 (step @p28 :rule instantiate :premises (@p11) :args (@t26)) % 2.23/2.46 (step @p29 :rule cnf_or_pos :args (@t35)) % 2.23/2.46 (step @p30 :rule reordering :premises (@p29) :args ((or @t32 @t34 (not @t35)))) % 2.23/2.46 (step @p31 :rule chain_m_resolution :premises (@p30 @p24 @p28) :args (@t34 @t30 (@list @t27 @t35))) % 2.23/2.46 (step @p32 :rule cnf_or_pos :args (@t39)) % 2.23/2.46 (step @p33 :rule reordering :premises (@p32) :args ((or @t37 @t38 @t36 (not @t39)))) % 2.23/2.46 (step @p34 :rule chain_m_resolution :premises (@p33 @p31 @p27 @p19) :args (@t36 @t40 (@list @t34 @t31 @t39))) % 2.23/2.46 (step @p35 :rule cnf_or_pos :args (@t47)) % 2.23/2.46 (step @p36 :rule reordering :premises (@p35) :args ((or @t46 @t45 (not @t47)))) % 2.23/2.46 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p18) :args (@t45 @t30 (@list @t36 @t47))) % 2.23/2.46 (step @p38 :rule instantiate :premises (@p8) :args ((@list @t43 tptp.b @t42))) % 2.23/2.46 (step @p39 :rule instantiate :premises (@p12) :args (@t48)) % 2.23/2.46 (step @p40 :rule instantiate :premises (@p4) :args ((@list @t49 @t23 @t21))) % 2.23/2.46 (step @p41 :rule instantiate :premises (@p16) :args (@t24)) % 2.23/2.46 (step @p42 :rule cnf_or_pos :args (@t51)) % 2.23/2.46 (step @p43 :rule reordering :premises (@p42) :args ((or @t46 @t50 (not @t51)))) % 2.23/2.46 (step @p44 :rule chain_m_resolution :premises (@p43 @p34 @p41) :args (@t50 @t30 (@list @t36 @t51))) % 2.23/2.46 (step @p45 :rule instantiate :premises (@p7) :args (@t25)) % 2.23/2.46 (step @p46 :rule cnf_or_pos :args (@t53)) % 2.23/2.46 (step @p47 :rule reordering :premises (@p46) :args ((or @t37 @t38 @t52 (not @t53)))) % 2.23/2.46 (step @p48 :rule chain_m_resolution :premises (@p47 @p31 @p27 @p45) :args (@t52 @t40 (@list @t34 @t31 @t53))) % 2.23/2.46 (step @p49 :rule cnf_or_pos :args (@t57)) % 2.23/2.46 (step @p50 :rule reordering :premises (@p49) :args ((or @t55 @t56 @t54 (not @t57)))) % 2.23/2.46 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p44 @p40) :args (@t54 @t40 (@list @t52 @t50 @t57))) % 2.23/2.46 (step @p52 :rule cnf_or_pos :args (@t60)) % 2.23/2.46 (step @p53 :rule reordering :premises (@p52) :args ((or @t32 @t58 @t59 (not @t60)))) % 2.23/2.46 (step @p54 :rule chain_m_resolution :premises (@p53 @p24 @p51 @p39) :args (@t58 @t40 (@list @t27 @t54 @t60))) % 2.23/2.46 (step @p55 :rule instantiate :premises (@p14) :args (@t48)) % 2.23/2.46 (step @p56 :rule instantiate :premises (@p4) :args ((@list @t49 @t23 @t22))) % 2.23/2.46 (step @p57 :rule instantiate :premises (@p6) :args (@t25)) % 2.23/2.46 (step @p58 :rule cnf_or_pos :args (@t62)) % 2.23/2.46 (step @p59 :rule reordering :premises (@p58) :args ((or @t37 @t38 @t61 (not @t62)))) % 2.23/2.46 (step @p60 :rule chain_m_resolution :premises (@p59 @p31 @p27 @p57) :args (@t61 @t40 (@list @t34 @t31 @t62))) % 2.23/2.46 (step @p61 :rule cnf_or_pos :args (@t65)) % 2.23/2.46 (step @p62 :rule reordering :premises (@p61) :args ((or @t64 @t56 @t63 (not @t65)))) % 2.23/2.46 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p44 @p56) :args (@t63 @t40 (@list @t61 @t50 @t65))) % 2.23/2.46 (step @p64 :rule cnf_or_pos :args (@t68)) % 2.23/2.46 (step @p65 :rule reordering :premises (@p64) :args ((or @t32 @t66 @t67 (not @t68)))) % 2.23/2.46 (step @p66 :rule chain_m_resolution :premises (@p65 @p24 @p63 @p55) :args (@t66 @t40 (@list @t27 @t63 @t68))) % 2.23/2.46 (step @p67 :rule cnf_or_pos :args (@t71)) % 2.23/2.46 (step @p68 :rule reordering :premises (@p67) :args ((or @t44 @t70 @t69 (not @t71)))) % 2.23/2.46 (step @p69 false :rule chain_m_resolution :premises (@p68 @p66 @p54 @p38 @p37) :args (false (@list false false false true) (@list @t66 @t58 @t71 @t44))) % 2.23/2.46 ) % 2.23/2.46 % SZS output end Proof % 2.23/2.46 % cvc5 exiting %------------------------------------------------------------------------------