TSTP Solution File: LAT266-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT266-2 : 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 06:49:54 EDT 2022
% Result : Unsatisfiable 0.19s 0.40s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 8 RR)
% Number of literals : 8 ( 0 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 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('LAT266-2.p',unknown),
[] ).
cnf(2,axiom,
equal(c_Tarski_Opotype_Opset(c_Tarski_Odual(u,v),v,tc_Product__Type_Ounit),c_Tarski_Opotype_Opset(u,v,tc_Product__Type_Ounit)),
file('LAT266-2.p',unknown),
[] ).
cnf(3,axiom,
c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)),
file('LAT266-2.p',unknown),
[] ).
cnf(4,axiom,
~ c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),
file('LAT266-2.p',unknown),
[] ).
cnf(5,plain,
c_lessequals(v_S,v_A,tc_set(t_a)),
inference(rew,[status(thm),theory(equality)],[1,3]),
[iquote('0:Rew:1.0,3.0')] ).
cnf(6,plain,
~ c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)),
inference(rew,[status(thm),theory(equality)],[2,4]),
[iquote('0:Rew:2.0,4.0')] ).
cnf(7,plain,
~ c_lessequals(v_S,v_A,tc_set(t_a)),
inference(rew,[status(thm),theory(equality)],[1,6]),
[iquote('0:Rew:1.0,6.0')] ).
cnf(8,plain,
$false,
inference(mrr,[status(thm)],[7,5]),
[iquote('0:MRR:7.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LAT266-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 30 05:41:32 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.40
% 0.19/0.40 SPASS V 3.9
% 0.19/0.40 SPASS beiseite: Proof found.
% 0.19/0.40 % SZS status Theorem
% 0.19/0.40 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.40 SPASS derived 1 clauses, backtracked 0 clauses, performed 0 splits and kept 5 clauses.
% 0.19/0.40 SPASS allocated 63082 KBytes.
% 0.19/0.40 SPASS spent 0:00:00.05 on the problem.
% 0.19/0.40 0:00:00.03 for the input.
% 0.19/0.40 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.40 0:00:00.00 for inferences.
% 0.19/0.40 0:00:00.00 for the backtracking.
% 0.19/0.40 0:00:00.00 for the reduction.
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 Here is a proof with depth 0, length 8 :
% 0.19/0.40 % SZS output start Refutation
% See solution above
% 0.19/0.40 Formulae used in the proof : cls_Tarski_OA_A_61_61_Apset_Acl_0 cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0 cls_conjecture_0 cls_conjecture_2
% 0.19/0.40
%------------------------------------------------------------------------------