TSTP Solution File: COM009-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COM009-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 0.19s 0.41s
% Output : Refutation 0.19s
% 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(1,axiom,
( ~ c_UNITY_Oall__total(u,v)
| equal(c_UNITY_Ototalize(u,v),u) ),
file('COM009-2.p',unknown),
[] ).
cnf(2,axiom,
c_UNITY_Oall__total(c_UNITY_Ototalize(u,v),v),
file('COM009-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ equal(c_UNITY_Ototalize(v_F,t_a),v_F)
| ~ c_UNITY_Oall__total(v_F,t_a) ),
file('COM009-2.p',unknown),
[] ).
cnf(4,axiom,
( c_UNITY_Oall__total(v_F,t_a)
| equal(c_UNITY_Ototalize(v_F,t_a),v_F) ),
file('COM009-2.p',unknown),
[] ).
cnf(5,plain,
equal(c_UNITY_Ototalize(v_F,t_a),v_F),
inference(mrr,[status(thm)],[4,1]),
[iquote('0:MRR:4.0,1.0')] ).
cnf(6,plain,
( ~ equal(v_F,v_F)
| ~ c_UNITY_Oall__total(v_F,t_a) ),
inference(rew,[status(thm),theory(equality)],[5,3]),
[iquote('0:Rew:5.0,3.0')] ).
cnf(7,plain,
~ c_UNITY_Oall__total(v_F,t_a),
inference(obv,[status(thm),theory(equality)],[6]),
[iquote('0:Obv:6.0')] ).
cnf(9,plain,
c_UNITY_Oall__total(v_F,t_a),
inference(spr,[status(thm),theory(equality)],[5,2]),
[iquote('0:SpR:5.0,2.0')] ).
cnf(10,plain,
$false,
inference(mrr,[status(thm)],[9,7]),
[iquote('0:MRR:9.0,7.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COM009-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 17:39:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.41
% 0.19/0.41 SPASS V 3.9
% 0.19/0.41 SPASS beiseite: Proof found.
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41 SPASS derived 3 clauses, backtracked 0 clauses, performed 0 splits and kept 6 clauses.
% 0.19/0.41 SPASS allocated 63079 KBytes.
% 0.19/0.41 SPASS spent 0:00:00.06 on the problem.
% 0.19/0.41 0:00:00.04 for the input.
% 0.19/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41 0:00:00.00 for inferences.
% 0.19/0.41 0:00:00.00 for the backtracking.
% 0.19/0.41 0:00:00.00 for the reduction.
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 Here is a proof with depth 1, length 9 :
% 0.19/0.41 % SZS output start Refutation
% See solution above
% 0.19/0.41 Formulae used in the proof : cls_UNITY_Oall__total__imp__totalize_0 cls_UNITY_Oall__total__totalize_0 cls_conjecture_0 cls_conjecture_1
% 0.19/0.41
%------------------------------------------------------------------------------