TSTP Solution File: LAT259-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT259-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 06:49:49 EDT 2022
% Result : Unsatisfiable 0.18s 0.40s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 11 RR)
% Number of literals : 18 ( 0 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 11 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_Relation_Oantisym(u,v)
| ~ c_in(c_Pair(w,x,v,v),u,tc_prod(v,v))
| ~ c_in(c_Pair(x,w,v,v),u,tc_prod(v,v))
| equal(w,x) ),
file('LAT259-2.p',unknown),
[] ).
cnf(2,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('LAT259-2.p',unknown),
[] ).
cnf(3,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('LAT259-2.p',unknown),
[] ).
cnf(4,axiom,
equal(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),v_r),
file('LAT259-2.p',unknown),
[] ).
cnf(5,axiom,
c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('LAT259-2.p',unknown),
[] ).
cnf(6,axiom,
c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('LAT259-2.p',unknown),
[] ).
cnf(7,axiom,
~ equal(v_b,v_a),
file('LAT259-2.p',unknown),
[] ).
cnf(10,plain,
( ~ c_Relation_Oantisym(v_r,t_a)
| ~ c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| equal(v_b,v_a) ),
inference(res,[status(thm),theory(equality)],[6,1]),
[iquote('0:Res:6.0,1.1')] ).
cnf(14,plain,
~ c_Relation_Oantisym(v_r,t_a),
inference(mrr,[status(thm)],[10,5,7]),
[iquote('0:MRR:10.1,10.2,5.0,7.0')] ).
cnf(17,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)],[4,2]),
[iquote('0:SpR:4.0,2.1')] ).
cnf(18,plain,
$false,
inference(mrr,[status(thm)],[17,3,14]),
[iquote('0:MRR:17.0,17.1,3.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT259-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.32 % Computer : n008.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Thu Jun 30 12:20:23 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.18/0.40
% 0.18/0.40 SPASS V 3.9
% 0.18/0.40 SPASS beiseite: Proof found.
% 0.18/0.40 % SZS status Theorem
% 0.18/0.40 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.40 SPASS derived 9 clauses, backtracked 0 clauses, performed 0 splits and kept 10 clauses.
% 0.18/0.40 SPASS allocated 63103 KBytes.
% 0.18/0.40 SPASS spent 0:00:00.06 on the problem.
% 0.18/0.40 0:00:00.04 for the input.
% 0.18/0.40 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.40 0:00:00.00 for inferences.
% 0.18/0.40 0:00:00.00 for the backtracking.
% 0.18/0.40 0:00:00.00 for the reduction.
% 0.18/0.40
% 0.18/0.40
% 0.18/0.40 Here is a proof with depth 1, length 11 :
% 0.18/0.40 % SZS output start Refutation
% See solution above
% 0.18/0.40 Formulae used in the proof : cls_Relation_Oantisym__def_0 cls_Tarski_OPartialOrder__iff_1 cls_Tarski_Ocl_A_58_APartialOrder_0 cls_Tarski_Or_A_61_61_Aorder_Acl_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_2
% 0.18/0.40
%------------------------------------------------------------------------------