TSTP Solution File: LAT281-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT281-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 06:50:04 EDT 2022
% Result : Unsatisfiable 5.37s 5.57s
% Output : Refutation 5.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 13 RR)
% Number of literals : 20 ( 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 : 17 ( 17 usr; 13 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_Relation_Otrans(u,v)
| ~ c_in(c_Pair(w,x,v,v),u,tc_prod(v,v))
| ~ c_in(c_Pair(x,y,v,v),u,tc_prod(v,v))
| c_in(c_Pair(w,y,v,v),u,tc_prod(v,v)) ),
file('LAT281-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ c_in(u,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(v,tc_Product__Type_Ounit))
| c_Relation_Otrans(c_Tarski_Opotype_Oorder(u,v,tc_Product__Type_Ounit),v) ),
file('LAT281-1.p',unknown),
[] ).
cnf(10,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('LAT281-1.p',unknown),
[] ).
cnf(11,axiom,
equal(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),v_r),
file('LAT281-1.p',unknown),
[] ).
cnf(12,axiom,
c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('LAT281-1.p',unknown),
[] ).
cnf(13,axiom,
c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('LAT281-1.p',unknown),
[] ).
cnf(14,axiom,
~ c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('LAT281-1.p',unknown),
[] ).
cnf(2971,plain,
( ~ c_Relation_Otrans(v_r,t_a)
| ~ c_in(c_Pair(u,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(u,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(res,[status(thm),theory(equality)],[13,1]),
[iquote('0:Res:13.0,1.1')] ).
cnf(3046,plain,
( ~ c_Relation_Otrans(v_r,t_a)
| c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(res,[status(thm),theory(equality)],[12,2971]),
[iquote('0:Res:12.0,2971.1')] ).
cnf(3054,plain,
~ c_Relation_Otrans(v_r,t_a),
inference(mrr,[status(thm)],[3046,14]),
[iquote('0:MRR:3046.1,14.0')] ).
cnf(20826,plain,
c_Relation_Otrans(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a),
inference(res,[status(thm),theory(equality)],[10,8]),
[iquote('0:Res:10.0,8.0')] ).
cnf(20829,plain,
c_Relation_Otrans(v_r,t_a),
inference(rew,[status(thm),theory(equality)],[11,20826]),
[iquote('0:Rew:11.0,20826.0')] ).
cnf(20830,plain,
$false,
inference(mrr,[status(thm)],[20829,3054]),
[iquote('0:MRR:20829.0,3054.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT281-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n003.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 : Wed Jun 29 12:49:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 5.37/5.57
% 5.37/5.57 SPASS V 3.9
% 5.37/5.57 SPASS beiseite: Proof found.
% 5.37/5.57 % SZS status Theorem
% 5.37/5.57 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.37/5.57 SPASS derived 14979 clauses, backtracked 0 clauses, performed 1 splits and kept 5031 clauses.
% 5.37/5.57 SPASS allocated 89644 KBytes.
% 5.37/5.57 SPASS spent 0:00:05.06 on the problem.
% 5.37/5.57 0:00:00.23 for the input.
% 5.37/5.57 0:00:00.00 for the FLOTTER CNF translation.
% 5.37/5.57 0:00:00.32 for inferences.
% 5.37/5.57 0:00:00.00 for the backtracking.
% 5.37/5.57 0:00:03.89 for the reduction.
% 5.37/5.57
% 5.37/5.57
% 5.37/5.57 Here is a proof with depth 2, length 13 :
% 5.37/5.57 % SZS output start Refutation
% See solution above
% 5.37/5.57 Formulae used in the proof : cls_Relation_Otrans__def_0 cls_Tarski_OPartialOrder__iff_2 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
% 5.37/5.57
%------------------------------------------------------------------------------