TSTP Solution File: ANA012-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ANA012-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 19:28:41 EDT 2022
% Result : Unsatisfiable 9.76s 9.97s
% Output : Refutation 9.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 67
% Syntax : Number of clauses : 136 ( 67 unt; 1 nHn; 136 RR)
% Number of literals : 209 ( 0 equ; 74 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 65 ( 64 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
~ equal(c_0,v_c),
file('ANA012-1.p',unknown),
[] ).
cnf(5,axiom,
~ c_lessequals(c_1,c_times(u,c_HOL_Oabs(v_c,t_a),t_a),t_a),
file('ANA012-1.p',unknown),
[] ).
cnf(6,axiom,
class_Ring__and__Field_Oordered__field(t_a),
file('ANA012-1.p',unknown),
[] ).
cnf(1075,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(u)
| ~ equal(c_HOL_Oabs(v,u),c_0)
| equal(v,c_0) ),
file('ANA012-1.p',unknown),
[] ).
cnf(1328,axiom,
( ~ class_Ring__and__Field_Ofield(u)
| equal(v,c_0)
| equal(c_times(c_HOL_Oinverse(v,u),v,u),c_1) ),
file('ANA012-1.p',unknown),
[] ).
cnf(1695,axiom,
( ~ class_Orderings_Oorder(u)
| c_lessequals(v,v,u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2362,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Ofield(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2363,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_HOL_Oinverse(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2364,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Ocomm__semiring__1(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2365,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_OrderedGroup_Ocomm__monoid__mult(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2366,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Osemiring__1__cancel(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2367,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Osemiring__1(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2368,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Oaxclass__0__neq__1(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2369,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_OrderedGroup_Omonoid__mult(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2370,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_HOL_Oone(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2371,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Ocomm__semiring__0__cancel(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2372,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Ocomm__semiring__0(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2373,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Ocomm__semiring(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2374,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Oidom(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2375,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_OrderedGroup_Oab__semigroup__mult(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2376,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Osemiring__0__cancel(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2377,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Osemiring__0(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2378,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Osemiring(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2379,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_OrderedGroup_Osemigroup__mult(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2380,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_OrderedGroup_Ocomm__monoid__add(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2381,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_OrderedGroup_Ocancel__ab__semigroup__add(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2382,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_OrderedGroup_Oab__semigroup__add(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2383,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_OrderedGroup_Ocancel__semigroup__add(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2384,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_OrderedGroup_Osemigroup__add(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2385,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Ocomm__ring__1(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2386,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_HOL_Oplus(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2387,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Oaxclass__no__zero__divisors(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2388,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_HOL_Ozero(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2389,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_HOL_Otimes(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2390,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Oordered__idom(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2391,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Oordered__comm__semiring__strict(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2392,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2393,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Opordered__comm__semiring(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2394,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Oordered__ring__strict(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2395,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Oordered__semiring__strict(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2396,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Ocomm__ring(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2397,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2398,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Orderings_Olinorder(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2399,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Oaxclass__abs__if(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2400,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Olordered__ring(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2401,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Opordered__ring(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2402,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Opordered__cancel__semiring(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2403,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Opordered__semiring(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2404,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_OrderedGroup_Olordered__ab__group__abs(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2405,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_OrderedGroup_Olordered__ab__group__meet(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2406,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_OrderedGroup_Olordered__ab__group__join(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2407,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Oring__1(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2408,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_OrderedGroup_Olordered__ab__group(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2409,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_LOrder_Olorder(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2410,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_LOrder_Ojoin__semilorder(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2411,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_LOrder_Omeet__semilorder(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2412,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_OrderedGroup_Opordered__ab__group__add(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2413,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2414,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2415,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_OrderedGroup_Opordered__ab__semigroup__add(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2416,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Orderings_Oorder(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2417,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Orderings_Oord(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2418,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Oring(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2419,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Oordered__semidom(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2420,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_OrderedGroup_Oab__group__add(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2421,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_HOL_Ominus(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(2422,axiom,
( ~ class_Ring__and__Field_Oordered__field(u)
| class_Ring__and__Field_Ocomm__semiring__1__cancel(u) ),
file('ANA012-1.p',unknown),
[] ).
cnf(3082,plain,
class_Ring__and__Field_Ofield(t_a),
inference(res,[status(thm),theory(equality)],[6,2362]),
[iquote('0:Res:6.0,2362.0')] ).
cnf(3083,plain,
class_HOL_Oinverse(t_a),
inference(res,[status(thm),theory(equality)],[6,2363]),
[iquote('0:Res:6.0,2363.0')] ).
cnf(3084,plain,
class_Ring__and__Field_Ocomm__semiring__1(t_a),
inference(res,[status(thm),theory(equality)],[6,2364]),
[iquote('0:Res:6.0,2364.0')] ).
cnf(3085,plain,
class_OrderedGroup_Ocomm__monoid__mult(t_a),
inference(res,[status(thm),theory(equality)],[6,2365]),
[iquote('0:Res:6.0,2365.0')] ).
cnf(3086,plain,
class_Ring__and__Field_Osemiring__1__cancel(t_a),
inference(res,[status(thm),theory(equality)],[6,2366]),
[iquote('0:Res:6.0,2366.0')] ).
cnf(3087,plain,
class_Ring__and__Field_Osemiring__1(t_a),
inference(res,[status(thm),theory(equality)],[6,2367]),
[iquote('0:Res:6.0,2367.0')] ).
cnf(3088,plain,
class_Ring__and__Field_Oaxclass__0__neq__1(t_a),
inference(res,[status(thm),theory(equality)],[6,2368]),
[iquote('0:Res:6.0,2368.0')] ).
cnf(3089,plain,
class_OrderedGroup_Omonoid__mult(t_a),
inference(res,[status(thm),theory(equality)],[6,2369]),
[iquote('0:Res:6.0,2369.0')] ).
cnf(3090,plain,
class_HOL_Oone(t_a),
inference(res,[status(thm),theory(equality)],[6,2370]),
[iquote('0:Res:6.0,2370.0')] ).
cnf(3091,plain,
class_Ring__and__Field_Ocomm__semiring__0__cancel(t_a),
inference(res,[status(thm),theory(equality)],[6,2371]),
[iquote('0:Res:6.0,2371.0')] ).
cnf(3092,plain,
class_Ring__and__Field_Ocomm__semiring__0(t_a),
inference(res,[status(thm),theory(equality)],[6,2372]),
[iquote('0:Res:6.0,2372.0')] ).
cnf(3093,plain,
class_Ring__and__Field_Ocomm__semiring(t_a),
inference(res,[status(thm),theory(equality)],[6,2373]),
[iquote('0:Res:6.0,2373.0')] ).
cnf(3094,plain,
class_Ring__and__Field_Oidom(t_a),
inference(res,[status(thm),theory(equality)],[6,2374]),
[iquote('0:Res:6.0,2374.0')] ).
cnf(3095,plain,
class_OrderedGroup_Oab__semigroup__mult(t_a),
inference(res,[status(thm),theory(equality)],[6,2375]),
[iquote('0:Res:6.0,2375.0')] ).
cnf(3096,plain,
class_Ring__and__Field_Osemiring__0__cancel(t_a),
inference(res,[status(thm),theory(equality)],[6,2376]),
[iquote('0:Res:6.0,2376.0')] ).
cnf(3097,plain,
class_Ring__and__Field_Osemiring__0(t_a),
inference(res,[status(thm),theory(equality)],[6,2377]),
[iquote('0:Res:6.0,2377.0')] ).
cnf(3098,plain,
class_Ring__and__Field_Osemiring(t_a),
inference(res,[status(thm),theory(equality)],[6,2378]),
[iquote('0:Res:6.0,2378.0')] ).
cnf(3099,plain,
class_OrderedGroup_Osemigroup__mult(t_a),
inference(res,[status(thm),theory(equality)],[6,2379]),
[iquote('0:Res:6.0,2379.0')] ).
cnf(3100,plain,
class_OrderedGroup_Ocomm__monoid__add(t_a),
inference(res,[status(thm),theory(equality)],[6,2380]),
[iquote('0:Res:6.0,2380.0')] ).
cnf(3101,plain,
class_OrderedGroup_Ocancel__ab__semigroup__add(t_a),
inference(res,[status(thm),theory(equality)],[6,2381]),
[iquote('0:Res:6.0,2381.0')] ).
cnf(3102,plain,
class_OrderedGroup_Oab__semigroup__add(t_a),
inference(res,[status(thm),theory(equality)],[6,2382]),
[iquote('0:Res:6.0,2382.0')] ).
cnf(3103,plain,
class_OrderedGroup_Ocancel__semigroup__add(t_a),
inference(res,[status(thm),theory(equality)],[6,2383]),
[iquote('0:Res:6.0,2383.0')] ).
cnf(3104,plain,
class_OrderedGroup_Osemigroup__add(t_a),
inference(res,[status(thm),theory(equality)],[6,2384]),
[iquote('0:Res:6.0,2384.0')] ).
cnf(3105,plain,
class_Ring__and__Field_Ocomm__ring__1(t_a),
inference(res,[status(thm),theory(equality)],[6,2385]),
[iquote('0:Res:6.0,2385.0')] ).
cnf(3106,plain,
class_HOL_Oplus(t_a),
inference(res,[status(thm),theory(equality)],[6,2386]),
[iquote('0:Res:6.0,2386.0')] ).
cnf(3107,plain,
class_Ring__and__Field_Oaxclass__no__zero__divisors(t_a),
inference(res,[status(thm),theory(equality)],[6,2387]),
[iquote('0:Res:6.0,2387.0')] ).
cnf(3108,plain,
class_HOL_Ozero(t_a),
inference(res,[status(thm),theory(equality)],[6,2388]),
[iquote('0:Res:6.0,2388.0')] ).
cnf(3109,plain,
class_HOL_Otimes(t_a),
inference(res,[status(thm),theory(equality)],[6,2389]),
[iquote('0:Res:6.0,2389.0')] ).
cnf(3110,plain,
class_Ring__and__Field_Oordered__idom(t_a),
inference(res,[status(thm),theory(equality)],[6,2390]),
[iquote('0:Res:6.0,2390.0')] ).
cnf(3111,plain,
class_Ring__and__Field_Oordered__comm__semiring__strict(t_a),
inference(res,[status(thm),theory(equality)],[6,2391]),
[iquote('0:Res:6.0,2391.0')] ).
cnf(3112,plain,
class_Ring__and__Field_Opordered__cancel__comm__semiring(t_a),
inference(res,[status(thm),theory(equality)],[6,2392]),
[iquote('0:Res:6.0,2392.0')] ).
cnf(3113,plain,
class_Ring__and__Field_Opordered__comm__semiring(t_a),
inference(res,[status(thm),theory(equality)],[6,2393]),
[iquote('0:Res:6.0,2393.0')] ).
cnf(3114,plain,
class_Ring__and__Field_Oordered__ring__strict(t_a),
inference(res,[status(thm),theory(equality)],[6,2394]),
[iquote('0:Res:6.0,2394.0')] ).
cnf(3115,plain,
class_Ring__and__Field_Oordered__semiring__strict(t_a),
inference(res,[status(thm),theory(equality)],[6,2395]),
[iquote('0:Res:6.0,2395.0')] ).
cnf(3116,plain,
class_Ring__and__Field_Ocomm__ring(t_a),
inference(res,[status(thm),theory(equality)],[6,2396]),
[iquote('0:Res:6.0,2396.0')] ).
cnf(3117,plain,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(t_a),
inference(res,[status(thm),theory(equality)],[6,2397]),
[iquote('0:Res:6.0,2397.0')] ).
cnf(3118,plain,
class_Orderings_Olinorder(t_a),
inference(res,[status(thm),theory(equality)],[6,2398]),
[iquote('0:Res:6.0,2398.0')] ).
cnf(3119,plain,
class_Ring__and__Field_Oaxclass__abs__if(t_a),
inference(res,[status(thm),theory(equality)],[6,2399]),
[iquote('0:Res:6.0,2399.0')] ).
cnf(3120,plain,
class_Ring__and__Field_Olordered__ring(t_a),
inference(res,[status(thm),theory(equality)],[6,2400]),
[iquote('0:Res:6.0,2400.0')] ).
cnf(3121,plain,
class_Ring__and__Field_Opordered__ring(t_a),
inference(res,[status(thm),theory(equality)],[6,2401]),
[iquote('0:Res:6.0,2401.0')] ).
cnf(3122,plain,
class_Ring__and__Field_Opordered__cancel__semiring(t_a),
inference(res,[status(thm),theory(equality)],[6,2402]),
[iquote('0:Res:6.0,2402.0')] ).
cnf(3123,plain,
class_Ring__and__Field_Opordered__semiring(t_a),
inference(res,[status(thm),theory(equality)],[6,2403]),
[iquote('0:Res:6.0,2403.0')] ).
cnf(3124,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference(res,[status(thm),theory(equality)],[6,2404]),
[iquote('0:Res:6.0,2404.0')] ).
cnf(3125,plain,
class_OrderedGroup_Olordered__ab__group__meet(t_a),
inference(res,[status(thm),theory(equality)],[6,2405]),
[iquote('0:Res:6.0,2405.0')] ).
cnf(3126,plain,
class_OrderedGroup_Olordered__ab__group__join(t_a),
inference(res,[status(thm),theory(equality)],[6,2406]),
[iquote('0:Res:6.0,2406.0')] ).
cnf(3127,plain,
class_Ring__and__Field_Oring__1(t_a),
inference(res,[status(thm),theory(equality)],[6,2407]),
[iquote('0:Res:6.0,2407.0')] ).
cnf(3128,plain,
class_OrderedGroup_Olordered__ab__group(t_a),
inference(res,[status(thm),theory(equality)],[6,2408]),
[iquote('0:Res:6.0,2408.0')] ).
cnf(3129,plain,
class_LOrder_Olorder(t_a),
inference(res,[status(thm),theory(equality)],[6,2409]),
[iquote('0:Res:6.0,2409.0')] ).
cnf(3130,plain,
class_LOrder_Ojoin__semilorder(t_a),
inference(res,[status(thm),theory(equality)],[6,2410]),
[iquote('0:Res:6.0,2410.0')] ).
cnf(3131,plain,
class_LOrder_Omeet__semilorder(t_a),
inference(res,[status(thm),theory(equality)],[6,2411]),
[iquote('0:Res:6.0,2411.0')] ).
cnf(3132,plain,
class_OrderedGroup_Opordered__ab__group__add(t_a),
inference(res,[status(thm),theory(equality)],[6,2412]),
[iquote('0:Res:6.0,2412.0')] ).
cnf(3133,plain,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_a),
inference(res,[status(thm),theory(equality)],[6,2413]),
[iquote('0:Res:6.0,2413.0')] ).
cnf(3134,plain,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(t_a),
inference(res,[status(thm),theory(equality)],[6,2414]),
[iquote('0:Res:6.0,2414.0')] ).
cnf(3135,plain,
class_OrderedGroup_Opordered__ab__semigroup__add(t_a),
inference(res,[status(thm),theory(equality)],[6,2415]),
[iquote('0:Res:6.0,2415.0')] ).
cnf(3136,plain,
class_Orderings_Oorder(t_a),
inference(res,[status(thm),theory(equality)],[6,2416]),
[iquote('0:Res:6.0,2416.0')] ).
cnf(3137,plain,
class_Orderings_Oord(t_a),
inference(res,[status(thm),theory(equality)],[6,2417]),
[iquote('0:Res:6.0,2417.0')] ).
cnf(3138,plain,
class_Ring__and__Field_Oring(t_a),
inference(res,[status(thm),theory(equality)],[6,2418]),
[iquote('0:Res:6.0,2418.0')] ).
cnf(3139,plain,
class_Ring__and__Field_Oordered__semidom(t_a),
inference(res,[status(thm),theory(equality)],[6,2419]),
[iquote('0:Res:6.0,2419.0')] ).
cnf(3140,plain,
class_OrderedGroup_Oab__group__add(t_a),
inference(res,[status(thm),theory(equality)],[6,2420]),
[iquote('0:Res:6.0,2420.0')] ).
cnf(3141,plain,
class_HOL_Ominus(t_a),
inference(res,[status(thm),theory(equality)],[6,2421]),
[iquote('0:Res:6.0,2421.0')] ).
cnf(3142,plain,
class_Ring__and__Field_Ocomm__semiring__1__cancel(t_a),
inference(res,[status(thm),theory(equality)],[6,2422]),
[iquote('0:Res:6.0,2422.0')] ).
cnf(33888,plain,
( ~ class_Ring__and__Field_Ofield(t_a)
| ~ c_lessequals(c_1,c_1,t_a)
| equal(c_HOL_Oabs(v_c,t_a),c_0) ),
inference(spl,[status(thm),theory(equality)],[1328,5]),
[iquote('0:SpL:1328.2,5.0')] ).
cnf(33894,plain,
( ~ c_lessequals(c_1,c_1,t_a)
| equal(c_HOL_Oabs(v_c,t_a),c_0) ),
inference(ssi,[status(thm)],[33888,6,3083,3119,3107,3088,3131,3130,3129,3117,3089,3126,3125,3113,3141,3134,3095,3123,3122,3112,3093,3087,3085,3135,3127,3121,3116,3091,3086,3084,3092,3115,3090,3138,3133,3120,3111,3094,3096,3101,3097,3124,3098,3099,3136,3103,3142,3108,3140,3109,3128,3102,3100,3137,3104,3106,3132,3114,3139,3105,3118,3082,3110]),
[iquote('0:SSi:33888.0,6.0,3083.0,3119.0,3107.0,3088.0,3131.0,3130.0,3129.0,3117.0,3089.0,3126.0,3125.0,3113.0,3141.0,3134.0,3095.0,3123.0,3122.0,3112.0,3093.0,3087.0,3085.0,3135.0,3127.0,3121.0,3116.0,3091.0,3086.0,3084.0,3092.0,3115.0,3090.0,3138.0,3133.0,3120.0,3111.0,3094.0,3096.0,3101.0,3097.0,3124.0,3098.0,3099.0,3136.0,3103.0,3142.0,3108.0,3140.0,3109.0,3128.0,3102.0,3100.0,3137.0,3104.0,3106.0,3132.0,3114.0,3139.0,3105.0,3118.0,3082.0,3110.0')] ).
cnf(34182,plain,
( ~ class_Orderings_Oorder(t_a)
| equal(c_HOL_Oabs(v_c,t_a),c_0) ),
inference(res,[status(thm),theory(equality)],[1695,33894]),
[iquote('0:Res:1695.1,33894.0')] ).
cnf(34183,plain,
equal(c_HOL_Oabs(v_c,t_a),c_0),
inference(ssi,[status(thm)],[34182,6,3083,3119,3107,3088,3131,3130,3129,3117,3089,3126,3125,3113,3141,3134,3095,3123,3122,3112,3093,3087,3085,3135,3127,3121,3116,3091,3086,3084,3092,3115,3090,3138,3133,3120,3111,3094,3096,3101,3097,3124,3098,3099,3136,3103,3142,3108,3140,3109,3128,3102,3100,3137,3104,3106,3132,3114,3139,3105,3118,3082,3110]),
[iquote('0:SSi:34182.0,6.0,3083.0,3119.0,3107.0,3088.0,3131.0,3130.0,3129.0,3117.0,3089.0,3126.0,3125.0,3113.0,3141.0,3134.0,3095.0,3123.0,3122.0,3112.0,3093.0,3087.0,3085.0,3135.0,3127.0,3121.0,3116.0,3091.0,3086.0,3084.0,3092.0,3115.0,3090.0,3138.0,3133.0,3120.0,3111.0,3094.0,3096.0,3101.0,3097.0,3124.0,3098.0,3099.0,3136.0,3103.0,3142.0,3108.0,3140.0,3109.0,3128.0,3102.0,3100.0,3137.0,3104.0,3106.0,3132.0,3114.0,3139.0,3105.0,3118.0,3082.0,3110.0')] ).
cnf(34205,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| ~ equal(c_0,c_0)
| equal(c_0,v_c) ),
inference(spl,[status(thm),theory(equality)],[34183,1075]),
[iquote('0:SpL:34183.0,1075.1')] ).
cnf(34211,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| equal(c_0,v_c) ),
inference(obv,[status(thm),theory(equality)],[34205]),
[iquote('0:Obv:34205.1')] ).
cnf(34212,plain,
equal(c_0,v_c),
inference(ssi,[status(thm)],[34211,6,3083,3119,3107,3088,3131,3130,3129,3117,3089,3126,3125,3113,3141,3134,3095,3123,3122,3112,3093,3087,3085,3135,3127,3121,3116,3091,3086,3084,3092,3115,3090,3138,3133,3120,3111,3094,3096,3101,3097,3124,3098,3099,3136,3103,3142,3108,3140,3109,3128,3102,3100,3137,3104,3106,3132,3114,3139,3105,3118,3082,3110]),
[iquote('0:SSi:34211.0,6.0,3083.0,3119.0,3107.0,3088.0,3131.0,3130.0,3129.0,3117.0,3089.0,3126.0,3125.0,3113.0,3141.0,3134.0,3095.0,3123.0,3122.0,3112.0,3093.0,3087.0,3085.0,3135.0,3127.0,3121.0,3116.0,3091.0,3086.0,3084.0,3092.0,3115.0,3090.0,3138.0,3133.0,3120.0,3111.0,3094.0,3096.0,3101.0,3097.0,3124.0,3098.0,3099.0,3136.0,3103.0,3142.0,3108.0,3140.0,3109.0,3128.0,3102.0,3100.0,3137.0,3104.0,3106.0,3132.0,3114.0,3139.0,3105.0,3118.0,3082.0,3110.0')] ).
cnf(34213,plain,
$false,
inference(mrr,[status(thm)],[34212,4]),
[iquote('0:MRR:34212.0,4.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ANA012-1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 05:08:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 9.76/9.97
% 9.76/9.97 SPASS V 3.9
% 9.76/9.97 SPASS beiseite: Proof found.
% 9.76/9.97 % SZS status Theorem
% 9.76/9.97 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.76/9.97 SPASS derived 25425 clauses, backtracked 0 clauses, performed 1 splits and kept 6822 clauses.
% 9.76/9.97 SPASS allocated 97764 KBytes.
% 9.76/9.97 SPASS spent 0:00:09.61 on the problem.
% 9.76/9.97 0:00:00.20 for the input.
% 9.76/9.97 0:00:00.00 for the FLOTTER CNF translation.
% 9.76/9.97 0:00:00.57 for inferences.
% 9.76/9.97 0:00:00.00 for the backtracking.
% 9.76/9.97 0:00:07.91 for the reduction.
% 9.76/9.97
% 9.76/9.97
% 9.76/9.97 Here is a proof with depth 3, length 136 :
% 9.76/9.97 % SZS output start Refutation
% See solution above
% 9.76/9.98 Formulae used in the proof : cls_conjecture_0 cls_conjecture_1 tfree_tcs cls_OrderedGroup_Oabs__eq__0_0 cls_Ring__and__Field_Ofield__class_Oaxioms__1_0 cls_Orderings_Oorder__class_Oaxioms__1_0 clsrel_Ring__and__Field_Oordered__field_0 clsrel_Ring__and__Field_Oordered__field_1 clsrel_Ring__and__Field_Oordered__field_10 clsrel_Ring__and__Field_Oordered__field_11 clsrel_Ring__and__Field_Oordered__field_12 clsrel_Ring__and__Field_Oordered__field_13 clsrel_Ring__and__Field_Oordered__field_14 clsrel_Ring__and__Field_Oordered__field_15 clsrel_Ring__and__Field_Oordered__field_16 clsrel_Ring__and__Field_Oordered__field_17 clsrel_Ring__and__Field_Oordered__field_18 clsrel_Ring__and__Field_Oordered__field_19 clsrel_Ring__and__Field_Oordered__field_2 clsrel_Ring__and__Field_Oordered__field_20 clsrel_Ring__and__Field_Oordered__field_21 clsrel_Ring__and__Field_Oordered__field_22 clsrel_Ring__and__Field_Oordered__field_23 clsrel_Ring__and__Field_Oordered__field_24 clsrel_Ring__and__Field_Oordered__field_25 clsrel_Ring__and__Field_Oordered__field_26 clsrel_Ring__and__Field_Oordered__field_27 clsrel_Ring__and__Field_Oordered__field_28 clsrel_Ring__and__Field_Oordered__field_29 clsrel_Ring__and__Field_Oordered__field_3 clsrel_Ring__and__Field_Oordered__field_30 clsrel_Ring__and__Field_Oordered__field_31 clsrel_Ring__and__Field_Oordered__field_32 clsrel_Ring__and__Field_Oordered__field_33 clsrel_Ring__and__Field_Oordered__field_34 clsrel_Ring__and__Field_Oordered__field_35 clsrel_Ring__and__Field_Oordered__field_36 clsrel_Ring__and__Field_Oordered__field_37 clsrel_Ring__and__Field_Oordered__field_38 clsrel_Ring__and__Field_Oordered__field_39 clsrel_Ring__and__Field_Oordered__field_4 clsrel_Ring__and__Field_Oordered__field_40 clsrel_Ring__and__Field_Oordered__field_41 clsrel_Ring__and__Field_Oordered__field_42 clsrel_Ring__and__Field_Oordered__field_43 clsrel_Ring__and__Field_Oordered__field_44 clsrel_Ring__and__Field_Oordered__field_45 clsrel_Ring__and__Field_Oordered__field_46 clsrel_Ring__and__Field_Oordered__field_47 clsrel_Ring__and__Field_Oordered__field_48 clsrel_Ring__and__Field_Oordered__field_49 clsrel_Ring__and__Field_Oordered__field_5 clsrel_Ring__and__Field_Oordered__field_50 clsrel_Ring__and__Field_Oordered__field_51 clsrel_Ring__and__Field_Oordered__field_52 clsrel_Ring__and__Field_Oordered__field_53 clsrel_Ring__and__Field_Oordered__field_54 clsrel_Ring__and__Field_Oordered__field_55 clsrel_Ring__and__Field_Oordered__field_56 clsrel_Ring__and__Field_Oordered__field_57 clsrel_Ring__and__Field_Oordered__field_58 clsrel_Ring__and__Field_Oordered__field_59 clsrel_Ring__and__Field_Oordered__field_6 clsrel_Ring__and__Field_Oordered__field_60 clsrel_Ring__and__Field_Oordered__field_7 clsrel_Ring__and__Field_Oordered__field_8 clsrel_Ring__and__Field_Oordered__field_9
% 10.06/10.28
%------------------------------------------------------------------------------