TSTP Solution File: ANA045-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ANA045-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 : 600s
% DateTime : Thu Jul 14 19:29:04 EDT 2022
% Result : Unsatisfiable 3.31s 3.51s
% Output : Refutation 3.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 65
% Syntax : Number of clauses : 131 ( 67 unt; 0 nHn; 131 RR)
% Number of literals : 196 ( 0 equ; 68 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 62 ( 61 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ c_lessequals(c_0,c_times(u,c_HOL_Oabs(v_g(v_x(u)),t_b),t_b),t_b),
file('ANA045-1.p',unknown),
[] ).
cnf(4,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('ANA045-1.p',unknown),
[] ).
cnf(272,axiom,
equal(c_IntDef_Oint(c_0),c_0),
file('ANA045-1.p',unknown),
[] ).
cnf(275,axiom,
c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint),
file('ANA045-1.p',unknown),
[] ).
cnf(303,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| equal(c_IntDef_Oof__int(c_0,u),c_0) ),
file('ANA045-1.p',unknown),
[] ).
cnf(307,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| ~ c_lessequals(v,c_0,tc_IntDef_Oint)
| c_lessequals(c_IntDef_Oof__int(v,u),c_0,u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(1389,axiom,
( ~ class_Ring__and__Field_Osemiring__0__cancel(u)
| equal(c_times(c_0,v,u),c_0) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2421,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Ocomm__ring__1(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2422,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Ocomm__ring(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2423,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Osemiring__1(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2424,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Oaxclass__0__neq__1(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2425,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Omonoid__mult(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2426,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_HOL_Oone(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2427,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2428,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Ocomm__semiring__0(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2429,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Ocomm__semiring(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2430,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Oab__semigroup__mult(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2431,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Osemiring__0__cancel(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2432,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Osemiring__0(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2433,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Oring__1(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2434,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Osemiring(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2435,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Osemigroup__mult(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2436,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_HOL_Otimes(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2437,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Ocomm__monoid__add(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2438,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_HOL_Ozero(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2439,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Ocancel__ab__semigroup__add(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2440,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Oab__semigroup__add(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2441,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Ocancel__semigroup__add(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2442,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Osemigroup__add(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2443,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_HOL_Oplus(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2444,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Oring(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2445,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Oordered__comm__semiring__strict(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2446,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Oordered__semiring__strict(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2447,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2448,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Orderings_Olinorder(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2449,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_LOrder_Olorder(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2450,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_LOrder_Ojoin__semilorder(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2451,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_LOrder_Omeet__semilorder(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2452,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2453,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2454,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2455,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Oab__group__add(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2456,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Opordered__cancel__semiring(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2457,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Opordered__comm__semiring(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2458,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Opordered__semiring(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2459,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Opordered__ab__semigroup__add(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2460,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Orderings_Oorder(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2461,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Orderings_Oord(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2462,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Oaxclass__abs__if(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2463,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Oordered__ring__strict(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2464,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Olordered__ring(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2465,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Opordered__ring(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2466,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_HOL_Ominus(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2467,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Olordered__ab__group__abs(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2468,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Olordered__ab__group__meet(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2469,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Olordered__ab__group__join(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2470,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Olordered__ab__group(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2471,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Opordered__ab__group__add(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2472,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Oordered__semidom(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2473,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Oaxclass__no__zero__divisors(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2474,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Oidom(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2475,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2476,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Ocomm__semiring__1(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2477,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Ocomm__monoid__mult(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2478,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Ring__and__Field_Osemiring__1__cancel(u) ),
file('ANA045-1.p',unknown),
[] ).
cnf(2786,plain,
c_lessequals(c_0,c_0,tc_IntDef_Oint),
inference(rew,[status(thm),theory(equality)],[272,275]),
[iquote('0:Rew:272.0,275.0')] ).
cnf(3032,plain,
( ~ c_lessequals(u,c_0,tc_IntDef_Oint)
| c_lessequals(c_IntDef_Oof__int(u,t_b),c_0,t_b) ),
inference(res,[status(thm),theory(equality)],[4,307]),
[iquote('0:Res:4.0,307.0')] ).
cnf(3043,plain,
equal(c_IntDef_Oof__int(c_0,t_b),c_0),
inference(res,[status(thm),theory(equality)],[4,303]),
[iquote('0:Res:4.0,303.0')] ).
cnf(3047,plain,
class_Ring__and__Field_Ocomm__ring__1(t_b),
inference(res,[status(thm),theory(equality)],[4,2421]),
[iquote('0:Res:4.0,2421.0')] ).
cnf(3048,plain,
class_Ring__and__Field_Ocomm__ring(t_b),
inference(res,[status(thm),theory(equality)],[4,2422]),
[iquote('0:Res:4.0,2422.0')] ).
cnf(3049,plain,
class_Ring__and__Field_Osemiring__1(t_b),
inference(res,[status(thm),theory(equality)],[4,2423]),
[iquote('0:Res:4.0,2423.0')] ).
cnf(3050,plain,
class_Ring__and__Field_Oaxclass__0__neq__1(t_b),
inference(res,[status(thm),theory(equality)],[4,2424]),
[iquote('0:Res:4.0,2424.0')] ).
cnf(3051,plain,
class_OrderedGroup_Omonoid__mult(t_b),
inference(res,[status(thm),theory(equality)],[4,2425]),
[iquote('0:Res:4.0,2425.0')] ).
cnf(3052,plain,
class_HOL_Oone(t_b),
inference(res,[status(thm),theory(equality)],[4,2426]),
[iquote('0:Res:4.0,2426.0')] ).
cnf(3053,plain,
class_Ring__and__Field_Ocomm__semiring__0__cancel(t_b),
inference(res,[status(thm),theory(equality)],[4,2427]),
[iquote('0:Res:4.0,2427.0')] ).
cnf(3054,plain,
class_Ring__and__Field_Ocomm__semiring__0(t_b),
inference(res,[status(thm),theory(equality)],[4,2428]),
[iquote('0:Res:4.0,2428.0')] ).
cnf(3055,plain,
class_Ring__and__Field_Ocomm__semiring(t_b),
inference(res,[status(thm),theory(equality)],[4,2429]),
[iquote('0:Res:4.0,2429.0')] ).
cnf(3056,plain,
class_OrderedGroup_Oab__semigroup__mult(t_b),
inference(res,[status(thm),theory(equality)],[4,2430]),
[iquote('0:Res:4.0,2430.0')] ).
cnf(3057,plain,
class_Ring__and__Field_Osemiring__0__cancel(t_b),
inference(res,[status(thm),theory(equality)],[4,2431]),
[iquote('0:Res:4.0,2431.0')] ).
cnf(3058,plain,
class_Ring__and__Field_Osemiring__0(t_b),
inference(res,[status(thm),theory(equality)],[4,2432]),
[iquote('0:Res:4.0,2432.0')] ).
cnf(3059,plain,
class_Ring__and__Field_Oring__1(t_b),
inference(res,[status(thm),theory(equality)],[4,2433]),
[iquote('0:Res:4.0,2433.0')] ).
cnf(3060,plain,
class_Ring__and__Field_Osemiring(t_b),
inference(res,[status(thm),theory(equality)],[4,2434]),
[iquote('0:Res:4.0,2434.0')] ).
cnf(3061,plain,
class_OrderedGroup_Osemigroup__mult(t_b),
inference(res,[status(thm),theory(equality)],[4,2435]),
[iquote('0:Res:4.0,2435.0')] ).
cnf(3062,plain,
class_HOL_Otimes(t_b),
inference(res,[status(thm),theory(equality)],[4,2436]),
[iquote('0:Res:4.0,2436.0')] ).
cnf(3063,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b),
inference(res,[status(thm),theory(equality)],[4,2437]),
[iquote('0:Res:4.0,2437.0')] ).
cnf(3064,plain,
class_HOL_Ozero(t_b),
inference(res,[status(thm),theory(equality)],[4,2438]),
[iquote('0:Res:4.0,2438.0')] ).
cnf(3065,plain,
class_OrderedGroup_Ocancel__ab__semigroup__add(t_b),
inference(res,[status(thm),theory(equality)],[4,2439]),
[iquote('0:Res:4.0,2439.0')] ).
cnf(3066,plain,
class_OrderedGroup_Oab__semigroup__add(t_b),
inference(res,[status(thm),theory(equality)],[4,2440]),
[iquote('0:Res:4.0,2440.0')] ).
cnf(3067,plain,
class_OrderedGroup_Ocancel__semigroup__add(t_b),
inference(res,[status(thm),theory(equality)],[4,2441]),
[iquote('0:Res:4.0,2441.0')] ).
cnf(3068,plain,
class_OrderedGroup_Osemigroup__add(t_b),
inference(res,[status(thm),theory(equality)],[4,2442]),
[iquote('0:Res:4.0,2442.0')] ).
cnf(3069,plain,
class_HOL_Oplus(t_b),
inference(res,[status(thm),theory(equality)],[4,2443]),
[iquote('0:Res:4.0,2443.0')] ).
cnf(3070,plain,
class_Ring__and__Field_Oring(t_b),
inference(res,[status(thm),theory(equality)],[4,2444]),
[iquote('0:Res:4.0,2444.0')] ).
cnf(3071,plain,
class_Ring__and__Field_Oordered__comm__semiring__strict(t_b),
inference(res,[status(thm),theory(equality)],[4,2445]),
[iquote('0:Res:4.0,2445.0')] ).
cnf(3072,plain,
class_Ring__and__Field_Oordered__semiring__strict(t_b),
inference(res,[status(thm),theory(equality)],[4,2446]),
[iquote('0:Res:4.0,2446.0')] ).
cnf(3073,plain,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(t_b),
inference(res,[status(thm),theory(equality)],[4,2447]),
[iquote('0:Res:4.0,2447.0')] ).
cnf(3074,plain,
class_Orderings_Olinorder(t_b),
inference(res,[status(thm),theory(equality)],[4,2448]),
[iquote('0:Res:4.0,2448.0')] ).
cnf(3075,plain,
class_LOrder_Olorder(t_b),
inference(res,[status(thm),theory(equality)],[4,2449]),
[iquote('0:Res:4.0,2449.0')] ).
cnf(3076,plain,
class_LOrder_Ojoin__semilorder(t_b),
inference(res,[status(thm),theory(equality)],[4,2450]),
[iquote('0:Res:4.0,2450.0')] ).
cnf(3077,plain,
class_LOrder_Omeet__semilorder(t_b),
inference(res,[status(thm),theory(equality)],[4,2451]),
[iquote('0:Res:4.0,2451.0')] ).
cnf(3078,plain,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b),
inference(res,[status(thm),theory(equality)],[4,2452]),
[iquote('0:Res:4.0,2452.0')] ).
cnf(3079,plain,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(t_b),
inference(res,[status(thm),theory(equality)],[4,2453]),
[iquote('0:Res:4.0,2453.0')] ).
cnf(3080,plain,
class_Ring__and__Field_Opordered__cancel__comm__semiring(t_b),
inference(res,[status(thm),theory(equality)],[4,2454]),
[iquote('0:Res:4.0,2454.0')] ).
cnf(3081,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(res,[status(thm),theory(equality)],[4,2455]),
[iquote('0:Res:4.0,2455.0')] ).
cnf(3082,plain,
class_Ring__and__Field_Opordered__cancel__semiring(t_b),
inference(res,[status(thm),theory(equality)],[4,2456]),
[iquote('0:Res:4.0,2456.0')] ).
cnf(3083,plain,
class_Ring__and__Field_Opordered__comm__semiring(t_b),
inference(res,[status(thm),theory(equality)],[4,2457]),
[iquote('0:Res:4.0,2457.0')] ).
cnf(3084,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(res,[status(thm),theory(equality)],[4,2458]),
[iquote('0:Res:4.0,2458.0')] ).
cnf(3085,plain,
class_OrderedGroup_Opordered__ab__semigroup__add(t_b),
inference(res,[status(thm),theory(equality)],[4,2459]),
[iquote('0:Res:4.0,2459.0')] ).
cnf(3086,plain,
class_Orderings_Oorder(t_b),
inference(res,[status(thm),theory(equality)],[4,2460]),
[iquote('0:Res:4.0,2460.0')] ).
cnf(3087,plain,
class_Orderings_Oord(t_b),
inference(res,[status(thm),theory(equality)],[4,2461]),
[iquote('0:Res:4.0,2461.0')] ).
cnf(3088,plain,
class_Ring__and__Field_Oaxclass__abs__if(t_b),
inference(res,[status(thm),theory(equality)],[4,2462]),
[iquote('0:Res:4.0,2462.0')] ).
cnf(3089,plain,
class_Ring__and__Field_Oordered__ring__strict(t_b),
inference(res,[status(thm),theory(equality)],[4,2463]),
[iquote('0:Res:4.0,2463.0')] ).
cnf(3090,plain,
class_Ring__and__Field_Olordered__ring(t_b),
inference(res,[status(thm),theory(equality)],[4,2464]),
[iquote('0:Res:4.0,2464.0')] ).
cnf(3091,plain,
class_Ring__and__Field_Opordered__ring(t_b),
inference(res,[status(thm),theory(equality)],[4,2465]),
[iquote('0:Res:4.0,2465.0')] ).
cnf(3092,plain,
class_HOL_Ominus(t_b),
inference(res,[status(thm),theory(equality)],[4,2466]),
[iquote('0:Res:4.0,2466.0')] ).
cnf(3093,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(res,[status(thm),theory(equality)],[4,2467]),
[iquote('0:Res:4.0,2467.0')] ).
cnf(3094,plain,
class_OrderedGroup_Olordered__ab__group__meet(t_b),
inference(res,[status(thm),theory(equality)],[4,2468]),
[iquote('0:Res:4.0,2468.0')] ).
cnf(3095,plain,
class_OrderedGroup_Olordered__ab__group__join(t_b),
inference(res,[status(thm),theory(equality)],[4,2469]),
[iquote('0:Res:4.0,2469.0')] ).
cnf(3096,plain,
class_OrderedGroup_Olordered__ab__group(t_b),
inference(res,[status(thm),theory(equality)],[4,2470]),
[iquote('0:Res:4.0,2470.0')] ).
cnf(3097,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(res,[status(thm),theory(equality)],[4,2471]),
[iquote('0:Res:4.0,2471.0')] ).
cnf(3098,plain,
class_Ring__and__Field_Oordered__semidom(t_b),
inference(res,[status(thm),theory(equality)],[4,2472]),
[iquote('0:Res:4.0,2472.0')] ).
cnf(3099,plain,
class_Ring__and__Field_Oaxclass__no__zero__divisors(t_b),
inference(res,[status(thm),theory(equality)],[4,2473]),
[iquote('0:Res:4.0,2473.0')] ).
cnf(3100,plain,
class_Ring__and__Field_Oidom(t_b),
inference(res,[status(thm),theory(equality)],[4,2474]),
[iquote('0:Res:4.0,2474.0')] ).
cnf(3101,plain,
class_Ring__and__Field_Ocomm__semiring__1__cancel(t_b),
inference(res,[status(thm),theory(equality)],[4,2475]),
[iquote('0:Res:4.0,2475.0')] ).
cnf(3102,plain,
class_Ring__and__Field_Ocomm__semiring__1(t_b),
inference(res,[status(thm),theory(equality)],[4,2476]),
[iquote('0:Res:4.0,2476.0')] ).
cnf(3103,plain,
class_OrderedGroup_Ocomm__monoid__mult(t_b),
inference(res,[status(thm),theory(equality)],[4,2477]),
[iquote('0:Res:4.0,2477.0')] ).
cnf(3104,plain,
class_Ring__and__Field_Osemiring__1__cancel(t_b),
inference(res,[status(thm),theory(equality)],[4,2478]),
[iquote('0:Res:4.0,2478.0')] ).
cnf(6328,plain,
( ~ c_lessequals(c_0,c_0,tc_IntDef_Oint)
| c_lessequals(c_0,c_0,t_b) ),
inference(spr,[status(thm),theory(equality)],[3043,3032]),
[iquote('0:SpR:3043.0,3032.1')] ).
cnf(6331,plain,
c_lessequals(c_0,c_0,t_b),
inference(mrr,[status(thm)],[6328,2786]),
[iquote('0:MRR:6328.0,2786.0')] ).
cnf(10079,plain,
( ~ class_Ring__and__Field_Osemiring__0__cancel(t_b)
| ~ c_lessequals(c_0,c_0,t_b) ),
inference(spl,[status(thm),theory(equality)],[1389,3]),
[iquote('0:SpL:1389.1,3.0')] ).
cnf(10085,plain,
~ c_lessequals(c_0,c_0,t_b),
inference(ssi,[status(thm)],[10079,4,3088,3099,3050,3077,3076,3075,3073,3051,3095,3094,3083,3092,3079,3056,3084,3103,3082,3080,3055,3049,3091,3085,3059,3048,3104,3102,3053,3054,3072,3052,3078,3070,3100,3090,3071,3093,3057,3065,3058,3067,3060,3061,3086,3101,3096,3081,3064,3062,3066,3063,3087,3068,3069,3097,3089,3098,3047,3074]),
[iquote('0:SSi:10079.0,4.0,3088.0,3099.0,3050.0,3077.0,3076.0,3075.0,3073.0,3051.0,3095.0,3094.0,3083.0,3092.0,3079.0,3056.0,3084.0,3103.0,3082.0,3080.0,3055.0,3049.0,3091.0,3085.0,3059.0,3048.0,3104.0,3102.0,3053.0,3054.0,3072.0,3052.0,3078.0,3070.0,3100.0,3090.0,3071.0,3093.0,3057.0,3065.0,3058.0,3067.0,3060.0,3061.0,3086.0,3101.0,3096.0,3081.0,3064.0,3062.0,3066.0,3063.0,3087.0,3068.0,3069.0,3097.0,3089.0,3098.0,3047.0,3074.0')] ).
cnf(10086,plain,
$false,
inference(mrr,[status(thm)],[10085,6331]),
[iquote('0:MRR:10085.0,6331.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : ANA045-1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.14 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jul 8 02:43:16 EDT 2022
% 0.13/0.35 % CPUTime :
% 3.31/3.51
% 3.31/3.51 SPASS V 3.9
% 3.31/3.51 SPASS beiseite: Proof found.
% 3.31/3.51 % SZS status Theorem
% 3.31/3.51 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.31/3.51 SPASS derived 6106 clauses, backtracked 0 clauses, performed 1 splits and kept 3920 clauses.
% 3.31/3.51 SPASS allocated 84279 KBytes.
% 3.31/3.51 SPASS spent 0:00:03.14 on the problem.
% 3.31/3.51 0:00:00.21 for the input.
% 3.31/3.51 0:00:00.00 for the FLOTTER CNF translation.
% 3.31/3.51 0:00:00.19 for inferences.
% 3.31/3.51 0:00:00.00 for the backtracking.
% 3.31/3.51 0:00:02.08 for the reduction.
% 3.31/3.51
% 3.31/3.51
% 3.31/3.51 Here is a proof with depth 2, length 131 :
% 3.31/3.51 % SZS output start Refutation
% See solution above
% 3.38/3.60 Formulae used in the proof : cls_conjecture_0 tfree_tcs cls_IntDef_Oint__eq__0__conv_1 cls_IntDef_Oint__le__0__conv_1 cls_IntDef_Oof__int__eq__0__iff_1 cls_IntDef_Oof__int__le__0__iff_1 cls_Ring__and__Field_Omult__zero__left_0 clsrel_Ring__and__Field_Oordered__idom_0 clsrel_Ring__and__Field_Oordered__idom_1 clsrel_Ring__and__Field_Oordered__idom_10 clsrel_Ring__and__Field_Oordered__idom_11 clsrel_Ring__and__Field_Oordered__idom_12 clsrel_Ring__and__Field_Oordered__idom_13 clsrel_Ring__and__Field_Oordered__idom_14 clsrel_Ring__and__Field_Oordered__idom_15 clsrel_Ring__and__Field_Oordered__idom_16 clsrel_Ring__and__Field_Oordered__idom_17 clsrel_Ring__and__Field_Oordered__idom_18 clsrel_Ring__and__Field_Oordered__idom_19 clsrel_Ring__and__Field_Oordered__idom_2 clsrel_Ring__and__Field_Oordered__idom_20 clsrel_Ring__and__Field_Oordered__idom_21 clsrel_Ring__and__Field_Oordered__idom_22 clsrel_Ring__and__Field_Oordered__idom_23 clsrel_Ring__and__Field_Oordered__idom_24 clsrel_Ring__and__Field_Oordered__idom_25 clsrel_Ring__and__Field_Oordered__idom_26 clsrel_Ring__and__Field_Oordered__idom_27 clsrel_Ring__and__Field_Oordered__idom_28 clsrel_Ring__and__Field_Oordered__idom_29 clsrel_Ring__and__Field_Oordered__idom_3 clsrel_Ring__and__Field_Oordered__idom_30 clsrel_Ring__and__Field_Oordered__idom_31 clsrel_Ring__and__Field_Oordered__idom_32 clsrel_Ring__and__Field_Oordered__idom_33 clsrel_Ring__and__Field_Oordered__idom_34 clsrel_Ring__and__Field_Oordered__idom_35 clsrel_Ring__and__Field_Oordered__idom_36 clsrel_Ring__and__Field_Oordered__idom_37 clsrel_Ring__and__Field_Oordered__idom_38 clsrel_Ring__and__Field_Oordered__idom_39 clsrel_Ring__and__Field_Oordered__idom_4 clsrel_Ring__and__Field_Oordered__idom_40 clsrel_Ring__and__Field_Oordered__idom_41 clsrel_Ring__and__Field_Oordered__idom_42 clsrel_Ring__and__Field_Oordered__idom_43 clsrel_Ring__and__Field_Oordered__idom_44 clsrel_Ring__and__Field_Oordered__idom_45 clsrel_Ring__and__Field_Oordered__idom_46 clsrel_Ring__and__Field_Oordered__idom_47 clsrel_Ring__and__Field_Oordered__idom_48 clsrel_Ring__and__Field_Oordered__idom_49 clsrel_Ring__and__Field_Oordered__idom_5 clsrel_Ring__and__Field_Oordered__idom_50 clsrel_Ring__and__Field_Oordered__idom_51 clsrel_Ring__and__Field_Oordered__idom_52 clsrel_Ring__and__Field_Oordered__idom_53 clsrel_Ring__and__Field_Oordered__idom_54 clsrel_Ring__and__Field_Oordered__idom_55 clsrel_Ring__and__Field_Oordered__idom_56 clsrel_Ring__and__Field_Oordered__idom_57 clsrel_Ring__and__Field_Oordered__idom_6 clsrel_Ring__and__Field_Oordered__idom_7 clsrel_Ring__and__Field_Oordered__idom_8 clsrel_Ring__and__Field_Oordered__idom_9
% 3.38/3.60
%------------------------------------------------------------------------------