TSTP Solution File: LAT273-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT273-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 06:49:59 EDT 2022
% Result : Unsatisfiable 0.18s 0.40s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 16 ( 6 unt; 1 nHn; 16 RR)
% Number of literals : 33 ( 0 equ; 22 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 14 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(u,v,w)
| ~ c_lessequals(v,c_Tarski_Ointerval(x,y,z,w),tc_set(w))
| c_in(c_Pair(u,z,w,w),x,tc_prod(w,w)) ),
file('LAT273-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(u,v_A,t_a)
| ~ c_Tarski_OisLub(v,v_cl,w,t_a)
| c_in(v_sko__4mi(v,v_r,u),v,t_a)
| c_in(c_Pair(w,u,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('LAT273-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(u,v_A,t_a)
| ~ c_in(c_Pair(v_sko__4mi(v,v_r,u),u,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(v,v_cl,w,t_a)
| c_in(c_Pair(w,u,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('LAT273-2.p',unknown),
[] ).
cnf(4,axiom,
c_in(v_b,v_A,t_a),
file('LAT273-2.p',unknown),
[] ).
cnf(5,axiom,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
file('LAT273-2.p',unknown),
[] ).
cnf(6,axiom,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
file('LAT273-2.p',unknown),
[] ).
cnf(7,axiom,
~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('LAT273-2.p',unknown),
[] ).
cnf(13,plain,
( ~ c_in(u,v_S,t_a)
| c_in(c_Pair(u,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(res,[status(thm),theory(equality)],[5,1]),
[iquote('0:Res:5.0,1.1')] ).
cnf(14,plain,
( ~ c_Tarski_OisLub(u,v_cl,v_L,t_a)
| ~ c_in(v_b,v_A,t_a)
| ~ c_in(c_Pair(v_sko__4mi(u,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(res,[status(thm),theory(equality)],[3,7]),
[iquote('0:Res:3.3,7.0')] ).
cnf(15,plain,
( ~ c_Tarski_OisLub(u,v_cl,v_L,t_a)
| ~ c_in(v_b,v_A,t_a)
| c_in(v_sko__4mi(u,v_r,v_b),u,t_a) ),
inference(res,[status(thm),theory(equality)],[2,7]),
[iquote('0:Res:2.2,7.0')] ).
cnf(17,plain,
( ~ c_Tarski_OisLub(u,v_cl,v_L,t_a)
| c_in(v_sko__4mi(u,v_r,v_b),u,t_a) ),
inference(mrr,[status(thm)],[15,4]),
[iquote('0:MRR:15.1,4.0')] ).
cnf(18,plain,
( ~ c_in(c_Pair(v_sko__4mi(u,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(u,v_cl,v_L,t_a) ),
inference(mrr,[status(thm)],[14,4]),
[iquote('0:MRR:14.1,4.0')] ).
cnf(23,plain,
( ~ c_in(v_sko__4mi(u,v_r,v_b),v_S,t_a)
| ~ c_Tarski_OisLub(u,v_cl,v_L,t_a) ),
inference(res,[status(thm),theory(equality)],[13,18]),
[iquote('0:Res:13.1,18.0')] ).
cnf(24,plain,
( ~ c_Tarski_OisLub(v_S,v_cl,v_L,t_a)
| ~ c_Tarski_OisLub(v_S,v_cl,v_L,t_a) ),
inference(res,[status(thm),theory(equality)],[17,23]),
[iquote('0:Res:17.1,23.0')] ).
cnf(25,plain,
~ c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
inference(obv,[status(thm),theory(equality)],[24]),
[iquote('0:Obv:24.0')] ).
cnf(26,plain,
$false,
inference(mrr,[status(thm)],[25,6]),
[iquote('0:MRR:25.0,6.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT273-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 17:30:07 EDT 2022
% 0.12/0.33 % 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/sandbox/benchmark/theBenchmark.p
% 0.18/0.40 SPASS derived 15 clauses, backtracked 0 clauses, performed 0 splits and kept 19 clauses.
% 0.18/0.40 SPASS allocated 63125 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 3, length 16 :
% 0.18/0.40 % SZS output start Refutation
% See solution above
% 0.18/0.40 Formulae used in the proof : 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_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0 cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0 cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1 cls_conjecture_1 cls_conjecture_2 cls_conjecture_4 cls_conjecture_6
% 0.18/0.40
%------------------------------------------------------------------------------