%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT277-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 7 unt; 0 nHn; 12 RR)
% Number of literals : 18 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(u,v,w)
| ~ c_Relation_Orefl(v,x,w)
| c_in(c_Pair(u,u,w,w),x,tc_prod(w,w)) ),
file('LAT277-2.p',unknown),
[] ).
cnf(2,axiom,
equal(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),v_A),
file('LAT277-2.p',unknown),
[] ).
cnf(3,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('LAT277-2.p',unknown),
[] ).
cnf(4,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('LAT277-2.p',unknown),
[] ).
cnf(5,axiom,
equal(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),v_r),
file('LAT277-2.p',unknown),
[] ).
cnf(6,axiom,
c_in(v_x,v_A,t_a),
file('LAT277-2.p',unknown),
[] ).
cnf(7,axiom,
~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('LAT277-2.p',unknown),
[] ).
cnf(9,plain,
( ~ c_Relation_Orefl(u,v_r,t_a)
| ~ c_in(v_x,u,t_a) ),
inference(res,[status(thm),theory(equality)],[1,7]),
[iquote('0:Res:1.2,7.0')] ).
cnf(10,plain,
~ c_Relation_Orefl(v_A,v_r,t_a),
inference(res,[status(thm),theory(equality)],[6,9]),
[iquote('0:Res:6.0,9.1')] ).
cnf(15,plain,
( ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),v_r,t_a) ),
inference(spr,[status(thm),theory(equality)],[5,3]),
[iquote('0:SpR:5.0,3.1')] ).
cnf(17,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)],[2,15]),
[iquote('0:Rew:2.0,15.1')] ).
cnf(18,plain,
$false,
inference(mrr,[status(thm)],[17,4,10]),
[iquote('0:MRR:17.0,17.1,4.0,10.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT277-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.14/0.33 % Computer : n011.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Thu Jun 30 00:33:32 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.39
% 0.14/0.39 SPASS V 3.9
% 0.14/0.39 SPASS beiseite: Proof found.
% 0.14/0.39 % SZS status Theorem
% 0.14/0.39 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39 SPASS derived 9 clauses, backtracked 0 clauses, performed 0 splits and kept 12 clauses.
% 0.14/0.39 SPASS allocated 63098 KBytes.
% 0.14/0.39 SPASS spent 0:00:00.04 on the problem.
% 0.14/0.39 0:00:00.03 for the input.
% 0.14/0.39 0:00:00.00 for the FLOTTER CNF translation.
% 0.14/0.39 0:00:00.00 for inferences.
% 0.14/0.39 0:00:00.00 for the backtracking.
% 0.14/0.39 0:00:00.00 for the reduction.
% 0.14/0.39
% 0.14/0.39
% 0.14/0.39 Here is a proof with depth 2, length 12 :
% 0.14/0.39 % SZS output start Refutation
% See solution above
% 0.14/0.39 Formulae used in the proof : cls_Relation_OreflD_0 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 cls_conjecture_1
% 0.14/0.39
%------------------------------------------------------------------------------