%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COM009-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 : Fri Jul 15 01:44:15 EDT 2022
% Result : Unsatisfiable 0.51s 0.70s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 9 ( 5 unt; 1 nHn; 9 RR)
% Number of literals : 13 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ c_UNITY_Oall__total(u,v)
| equal(c_UNITY_Ototalize(u,v),u) ),
file('COM009-1.p',unknown),
[] ).
cnf(4,axiom,
c_UNITY_Oall__total(c_UNITY_Ototalize(u,v),v),
file('COM009-1.p',unknown),
[] ).
cnf(13,axiom,
( ~ equal(c_UNITY_Ototalize(v_F,t_a),v_F)
| ~ c_UNITY_Oall__total(v_F,t_a) ),
file('COM009-1.p',unknown),
[] ).
cnf(14,axiom,
( c_UNITY_Oall__total(v_F,t_a)
| equal(c_UNITY_Ototalize(v_F,t_a),v_F) ),
file('COM009-1.p',unknown),
[] ).
cnf(1373,plain,
equal(c_UNITY_Ototalize(v_F,t_a),v_F),
inference(mrr,[status(thm)],[14,3]),
[iquote('0:MRR:14.0,3.0')] ).
cnf(1374,plain,
( ~ equal(v_F,v_F)
| ~ c_UNITY_Oall__total(v_F,t_a) ),
inference(rew,[status(thm),theory(equality)],[1373,13]),
[iquote('0:Rew:1373.0,13.0')] ).
cnf(1375,plain,
~ c_UNITY_Oall__total(v_F,t_a),
inference(obv,[status(thm),theory(equality)],[1374]),
[iquote('0:Obv:1374.0')] ).
cnf(1379,plain,
c_UNITY_Oall__total(v_F,t_a),
inference(spr,[status(thm),theory(equality)],[1373,4]),
[iquote('0:SpR:1373.0,4.0')] ).
cnf(1380,plain,
$false,
inference(mrr,[status(thm)],[1379,1375]),
[iquote('0:MRR:1379.0,1375.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : COM009-1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.11 % Command : run_spass %d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Thu Jun 16 18:03:00 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.51/0.70
% 0.51/0.70 SPASS V 3.9
% 0.51/0.70 SPASS beiseite: Proof found.
% 0.51/0.70 % SZS status Theorem
% 0.51/0.70 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.70 SPASS derived 5 clauses, backtracked 0 clauses, performed 0 splits and kept 1338 clauses.
% 0.51/0.70 SPASS allocated 77881 KBytes.
% 0.51/0.70 SPASS spent 0:00:00.37 on the problem.
% 0.51/0.70 0:00:00.06 for the input.
% 0.51/0.70 0:00:00.00 for the FLOTTER CNF translation.
% 0.51/0.70 0:00:00.02 for inferences.
% 0.51/0.70 0:00:00.00 for the backtracking.
% 0.51/0.70 0:00:00.07 for the reduction.
% 0.51/0.70
% 0.51/0.70
% 0.51/0.70 Here is a proof with depth 1, length 9 :
% 0.51/0.70 % SZS output start Refutation
% See solution above
% 0.51/0.70 Formulae used in the proof : cls_UNITY_Oall__total__imp__totalize_0 cls_UNITY_Oall__total__totalize_0 cls_conjecture_0 cls_conjecture_1
% 0.51/0.70
%------------------------------------------------------------------------------