TSTP Solution File: ANA023-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ANA023-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 19:28:49 EDT 2022
% Result : Unsatisfiable 2.41s 2.60s
% Output : Refutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 10 unt; 0 nHn; 19 RR)
% Number of literals : 33 ( 0 equ; 18 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(16,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(u)
| ~ c_lessequals(v,c_minus(w,x,u),u)
| c_lessequals(c_plus(v,x,u),w,u) ),
file('ANA023-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(u)
| ~ c_lessequals(c_plus(v,w,u),x,u)
| c_lessequals(v,c_minus(x,w,u),u) ),
file('ANA023-1.p',unknown),
[] ).
cnf(23,axiom,
( ~ class_Orderings_Oorder(u)
| ~ c_lessequals(v,w,u)
| ~ c_lessequals(w,x,u)
| c_lessequals(v,x,u) ),
file('ANA023-1.p',unknown),
[] ).
cnf(26,axiom,
c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
file('ANA023-1.p',unknown),
[] ).
cnf(27,axiom,
c_lessequals(v_k(v_x),v(v_x),t_b),
file('ANA023-1.p',unknown),
[] ).
cnf(28,axiom,
~ c_lessequals(c_0,c_minus(v(v_x),v_g(v_x),t_b),t_b),
file('ANA023-1.p',unknown),
[] ).
cnf(29,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('ANA023-1.p',unknown),
[] ).
cnf(2485,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_Orderings_Oorder(u) ),
file('ANA023-1.p',unknown),
[] ).
cnf(2496,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Opordered__ab__group__add(u) ),
file('ANA023-1.p',unknown),
[] ).
cnf(3119,plain,
class_Orderings_Oorder(t_b),
inference(res,[status(thm),theory(equality)],[29,2485]),
[iquote('0:Res:29.0,2485.0')] ).
cnf(3130,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(res,[status(thm),theory(equality)],[29,2496]),
[iquote('0:Res:29.0,2496.0')] ).
cnf(3221,plain,
( ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(u,v_k(v_x),t_b)
| c_lessequals(u,v(v_x),t_b) ),
inference(res,[status(thm),theory(equality)],[27,23]),
[iquote('0:Res:27.0,23.1')] ).
cnf(3290,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b) ),
inference(res,[status(thm),theory(equality)],[26,16]),
[iquote('0:Res:26.0,16.1')] ).
cnf(3330,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_lessequals(c_plus(c_0,v_g(v_x),t_b),v(v_x),t_b) ),
inference(res,[status(thm),theory(equality)],[17,28]),
[iquote('0:Res:17.2,28.0')] ).
cnf(3347,plain,
c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),
inference(mrr,[status(thm)],[3290,3130]),
[iquote('0:MRR:3290.0,3130.0')] ).
cnf(3353,plain,
~ c_lessequals(c_plus(c_0,v_g(v_x),t_b),v(v_x),t_b),
inference(mrr,[status(thm)],[3330,3130]),
[iquote('0:MRR:3330.0,3130.0')] ).
cnf(3355,plain,
( ~ c_lessequals(u,v_k(v_x),t_b)
| c_lessequals(u,v(v_x),t_b) ),
inference(mrr,[status(thm)],[3221,3119]),
[iquote('0:MRR:3221.0,3119.0')] ).
cnf(6477,plain,
~ c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),
inference(res,[status(thm),theory(equality)],[3355,3353]),
[iquote('0:Res:3355.1,3353.0')] ).
cnf(6482,plain,
$false,
inference(mrr,[status(thm)],[6477,3347]),
[iquote('0:MRR:6477.0,3347.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA023-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n023.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 05:48:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.41/2.60
% 2.41/2.60 SPASS V 3.9
% 2.41/2.60 SPASS beiseite: Proof found.
% 2.41/2.60 % SZS status Theorem
% 2.41/2.60 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.41/2.60 SPASS derived 2902 clauses, backtracked 0 clauses, performed 1 splits and kept 3333 clauses.
% 2.41/2.60 SPASS allocated 82165 KBytes.
% 2.41/2.60 SPASS spent 0:00:02.20 on the problem.
% 2.41/2.60 0:00:00.22 for the input.
% 2.41/2.60 0:00:00.00 for the FLOTTER CNF translation.
% 2.41/2.60 0:00:00.09 for inferences.
% 2.41/2.60 0:00:00.00 for the backtracking.
% 2.41/2.60 0:00:01.20 for the reduction.
% 2.41/2.60
% 2.41/2.60
% 2.41/2.60 Here is a proof with depth 2, length 19 :
% 2.41/2.60 % SZS output start Refutation
% See solution above
% 2.41/2.60 Formulae used in the proof : cls_OrderedGroup_Ocompare__rls__9_0 cls_OrderedGroup_Ocompare__rls__9_1 cls_Orderings_Oorder__class_Oorder__trans_0 cls_conjecture_1 cls_conjecture_2 cls_conjecture_3 tfree_tcs clsrel_Ring__and__Field_Oordered__idom_44 clsrel_Ring__and__Field_Oordered__idom_54
% 2.41/2.60
%------------------------------------------------------------------------------