TSTP Solution File: ANA024-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ANA024-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 19:28:50 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 6 unt; 0 nHn; 13 RR)
% Number of literals : 24 ( 0 equ; 14 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ class_OrderedGroup_Oab__group__add(u)
| equal(c_plus(c_minus(v,w,u),w,u),v) ),
file('ANA024-2.p',unknown),
[] ).
cnf(2,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('ANA024-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(u)
| class_OrderedGroup_Oab__group__add(u) ),
file('ANA024-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ class_Ring__and__Field_Oordered__idom(u)
| class_OrderedGroup_Opordered__ab__group__add(u) ),
file('ANA024-2.p',unknown),
[] ).
cnf(5,axiom,
c_lessequals(v_k(u),v(u),t_b),
file('ANA024-2.p',unknown),
[] ).
cnf(6,axiom,
~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v(v_x),v_g(v_x),t_b),t_b),
file('ANA024-2.p',unknown),
[] ).
cnf(7,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('ANA024-2.p',unknown),
[] ).
cnf(8,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(res,[status(thm),theory(equality)],[7,4]),
[iquote('0:Res:7.0,4.0')] ).
cnf(11,plain,
( ~ class_OrderedGroup_Oab__group__add(u)
| ~ class_OrderedGroup_Opordered__ab__group__add(u)
| ~ c_lessequals(v,w,u)
| c_lessequals(c_minus(v,x,u),c_minus(w,x,u),u) ),
inference(spl,[status(thm),theory(equality)],[1,2]),
[iquote('0:SpL:1.1,2.1')] ).
cnf(12,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(u)
| ~ c_lessequals(v,w,u)
| c_lessequals(c_minus(v,x,u),c_minus(w,x,u),u) ),
inference(ssi,[status(thm)],[11,3]),
[iquote('0:SSi:11.0,3.1')] ).
cnf(13,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_lessequals(v_k(v_x),v(v_x),t_b) ),
inference(res,[status(thm),theory(equality)],[12,6]),
[iquote('0:Res:12.2,6.0')] ).
cnf(14,plain,
~ c_lessequals(v_k(v_x),v(v_x),t_b),
inference(ssi,[status(thm)],[13,7,8]),
[iquote('0:SSi:13.0,7.0,8.0')] ).
cnf(15,plain,
$false,
inference(mrr,[status(thm)],[14,5]),
[iquote('0:MRR:14.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA024-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 05:10:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.41
% 0.19/0.41 SPASS V 3.9
% 0.19/0.41 SPASS beiseite: Proof found.
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41 SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 10 clauses.
% 0.19/0.41 SPASS allocated 75598 KBytes.
% 0.19/0.41 SPASS spent 0:00:00.06 on the problem.
% 0.19/0.41 0:00:00.04 for the input.
% 0.19/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41 0:00:00.00 for inferences.
% 0.19/0.41 0:00:00.00 for the backtracking.
% 0.19/0.41 0:00:00.00 for the reduction.
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 Here is a proof with depth 2, length 13 :
% 0.19/0.41 % SZS output start Refutation
% See solution above
% 0.19/0.41 Formulae used in the proof : cls_OrderedGroup_Ocompare__rls__10_0 cls_OrderedGroup_Ocompare__rls__9_1 clsrel_OrderedGroup_Opordered__ab__group__add_0 clsrel_Ring__and__Field_Oordered__idom_54 cls_conjecture_1 cls_conjecture_3 tfree_tcs
% 0.19/0.41
%------------------------------------------------------------------------------