TSTP Solution File: LAT278-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT278-1 : 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 : Sun Jul 17 06:50:02 EDT 2022
% Result : Unsatisfiable 34.36s 34.54s
% Output : Refutation 34.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 5 unt; 0 nHn; 8 RR)
% Number of literals : 11 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),v_A),
file('LAT278-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(u,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(v,tc_Product__Type_Ounit))
| c_Relation_Orefl(c_Tarski_Opotype_Opset(u,v,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(u,v,tc_Product__Type_Ounit),v) ),
file('LAT278-1.p',unknown),
[] ).
cnf(6,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('LAT278-1.p',unknown),
[] ).
cnf(7,axiom,
equal(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),v_r),
file('LAT278-1.p',unknown),
[] ).
cnf(8,axiom,
~ c_Relation_Orefl(v_A,v_r,t_a),
file('LAT278-1.p',unknown),
[] ).
cnf(79870,plain,
( ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| c_Relation_Orefl(v_A,c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a) ),
inference(spr,[status(thm),theory(equality)],[1,2]),
[iquote('0:SpR:1.0,2.1')] ).
cnf(79874,plain,
( ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| c_Relation_Orefl(v_A,v_r,t_a) ),
inference(rew,[status(thm),theory(equality)],[7,79870]),
[iquote('0:Rew:7.0,79870.1')] ).
cnf(79875,plain,
$false,
inference(mrr,[status(thm)],[79874,6,8]),
[iquote('0:MRR:79874.0,79874.1,6.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT278-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n010.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 : Wed Jun 29 07:42:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 34.36/34.54
% 34.36/34.54 SPASS V 3.9
% 34.36/34.54 SPASS beiseite: Proof found.
% 34.36/34.54 % SZS status Theorem
% 34.36/34.54 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 34.36/34.54 SPASS derived 63072 clauses, backtracked 51 clauses, performed 2 splits and kept 13386 clauses.
% 34.36/34.54 SPASS allocated 126772 KBytes.
% 34.36/34.54 SPASS spent 0:0:32.85 on the problem.
% 34.36/34.54 0:00:00.24 for the input.
% 34.36/34.54 0:00:00.00 for the FLOTTER CNF translation.
% 34.36/34.54 0:00:01.30 for inferences.
% 34.36/34.54 0:00:00.01 for the backtracking.
% 34.36/34.54 0:0:30.22 for the reduction.
% 34.36/34.54
% 34.36/34.54
% 34.36/34.54 Here is a proof with depth 1, length 8 :
% 34.36/34.54 % SZS output start Refutation
% See solution above
% 34.36/34.54 Formulae used in the proof : cls_Tarski_OA_A_61_61_Apset_Acl_0 cls_Tarski_OPartialOrder__iff_0 cls_Tarski_Ocl_A_58_APartialOrder_0 cls_Tarski_Or_A_61_61_Aorder_Acl_0 cls_conjecture_0
% 34.36/34.54
%------------------------------------------------------------------------------