TSTP Solution File: LAT279-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT279-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 06:50:03 EDT 2022
% Result : Unsatisfiable 0.18s 0.39s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 4 unt; 0 nHn; 6 RR)
% Number of literals : 8 ( 0 equ; 3 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 : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(u,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(v,tc_Product__Type_Ounit))
| c_Relation_Oantisym(c_Tarski_Opotype_Oorder(u,v,tc_Product__Type_Ounit),v) ),
file('LAT279-2.p',unknown),
[] ).
cnf(2,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('LAT279-2.p',unknown),
[] ).
cnf(3,axiom,
equal(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),v_r),
file('LAT279-2.p',unknown),
[] ).
cnf(4,axiom,
~ c_Relation_Oantisym(v_r,t_a),
file('LAT279-2.p',unknown),
[] ).
cnf(6,plain,
( ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| c_Relation_Oantisym(v_r,t_a) ),
inference(spr,[status(thm),theory(equality)],[3,1]),
[iquote('0:SpR:3.0,1.1')] ).
cnf(7,plain,
$false,
inference(mrr,[status(thm)],[6,2,4]),
[iquote('0:MRR:6.0,6.1,2.0,4.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.11 % Problem : LAT279-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n026.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 : Tue Jun 28 19:48:17 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.18/0.39
% 0.18/0.39 SPASS V 3.9
% 0.18/0.39 SPASS beiseite: Proof found.
% 0.18/0.39 % SZS status Theorem
% 0.18/0.39 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.39 SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 5 clauses.
% 0.18/0.39 SPASS allocated 63080 KBytes.
% 0.18/0.39 SPASS spent 0:00:00.05 on the problem.
% 0.18/0.39 0:00:00.03 for the input.
% 0.18/0.39 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.39 0:00:00.00 for inferences.
% 0.18/0.39 0:00:00.00 for the backtracking.
% 0.18/0.39 0:00:00.00 for the reduction.
% 0.18/0.39
% 0.18/0.39
% 0.18/0.39 Here is a proof with depth 1, length 6 :
% 0.18/0.39 % SZS output start Refutation
% See solution above
% 0.18/0.39 Formulae used in the proof : cls_Tarski_OPartialOrder__iff_1 cls_Tarski_Ocl_A_58_APartialOrder_0 cls_Tarski_Or_A_61_61_Aorder_Acl_0 cls_conjecture_0
% 0.18/0.39
%------------------------------------------------------------------------------