%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT271-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 06:49:57 EDT 2022
% Result : Unsatisfiable 1.64s 1.87s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 10 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
file('LAT271-1.p',unknown),
[] ).
cnf(7,axiom,
c_in(v_x,v_S,t_a),
file('LAT271-1.p',unknown),
[] ).
cnf(8,axiom,
~ c_in(c_Pair(v_a,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('LAT271-1.p',unknown),
[] ).
cnf(13,axiom,
( ~ c_in(u,v,w)
| ~ c_lessequals(v,c_Tarski_Ointerval(x,y,z,w),tc_set(w))
| c_in(c_Pair(y,u,w,w),x,tc_prod(w,w)) ),
file('LAT271-1.p',unknown),
[] ).
cnf(3467,plain,
( ~ c_lessequals(u,c_Tarski_Ointerval(v_r,v_a,v,t_a),tc_set(t_a))
| ~ c_in(v_x,u,t_a) ),
inference(res,[status(thm),theory(equality)],[13,8]),
[iquote('0:Res:13.2,8.0')] ).
cnf(3550,plain,
~ c_in(v_x,v_S,t_a),
inference(res,[status(thm),theory(equality)],[3,3467]),
[iquote('0:Res:3.0,3467.1')] ).
cnf(3564,plain,
$false,
inference(mrr,[status(thm)],[3550,7]),
[iquote('0:MRR:3550.0,7.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LAT271-1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.11 % Command : run_spass %d %s
% 0.10/0.32 % Computer : n016.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 600
% 0.10/0.32 % DateTime : Thu Jun 30 16:44:56 EDT 2022
% 0.10/0.32 % CPUTime :
% 1.64/1.87
% 1.64/1.87 SPASS V 3.9
% 1.64/1.87 SPASS beiseite: Proof found.
% 1.64/1.87 % SZS status Theorem
% 1.64/1.87 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.64/1.87 SPASS derived 411 clauses, backtracked 0 clauses, performed 0 splits and kept 2888 clauses.
% 1.64/1.87 SPASS allocated 80247 KBytes.
% 1.64/1.87 SPASS spent 0:00:01.48 on the problem.
% 1.64/1.87 0:00:00.23 for the input.
% 1.64/1.87 0:00:00.00 for the FLOTTER CNF translation.
% 1.64/1.87 0:00:00.00 for inferences.
% 1.64/1.87 0:00:00.00 for the backtracking.
% 1.64/1.87 0:00:00.69 for the reduction.
% 1.64/1.87
% 1.64/1.87
% 1.64/1.87 Here is a proof with depth 2, length 7 :
% 1.64/1.87 % SZS output start Refutation
% See solution above
% 1.64/1.87 Formulae used in the proof : cls_conjecture_2 cls_conjecture_6 cls_conjecture_7 cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ia1_M_Ax1_J_A_58_Ar_A_61_61_ATrue_0
% 1.64/1.87
%------------------------------------------------------------------------------