%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV224+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 : Wed Jul 20 21:41:41 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 7 RR)
% Number of literals : 7 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
equal(n3,n0),
file('SWV224+1.p',unknown),
[] ).
cnf(7,axiom,
equal(n3,n4),
file('SWV224+1.p',unknown),
[] ).
cnf(30,axiom,
~ equal(n3,n0),
file('SWV224+1.p',unknown),
[] ).
cnf(166,plain,
equal(n4,n0),
inference(rew,[status(thm),theory(equality)],[7,6]),
[iquote('0:Rew:7.0,6.0')] ).
cnf(167,plain,
equal(n3,n0),
inference(rew,[status(thm),theory(equality)],[166,7]),
[iquote('0:Rew:166.0,7.0')] ).
cnf(168,plain,
~ equal(n0,n0),
inference(rew,[status(thm),theory(equality)],[167,30]),
[iquote('0:Rew:167.0,30.0')] ).
cnf(169,plain,
$false,
inference(obv,[status(thm),theory(equality)],[168]),
[iquote('0:Obv:168.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV224+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n023.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 16 02:43:35 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48
% 0.19/0.48 SPASS V 3.9
% 0.19/0.48 SPASS beiseite: Proof found.
% 0.19/0.48 % SZS status Theorem
% 0.19/0.48 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48 SPASS derived 1 clauses, backtracked 0 clauses, performed 0 splits and kept 8 clauses.
% 0.19/0.48 SPASS allocated 85683 KBytes.
% 0.19/0.48 SPASS spent 0:00:00.13 on the problem.
% 0.19/0.48 0:00:00.04 for the input.
% 0.19/0.48 0:00:00.07 for the FLOTTER CNF translation.
% 0.19/0.48 0:00:00.00 for inferences.
% 0.19/0.48 0:00:00.00 for the backtracking.
% 0.19/0.48 0:00:00.00 for the reduction.
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 Here is a proof with depth 0, length 7 :
% 0.19/0.48 % SZS output start Refutation
% See solution above
% 0.19/0.48 Formulae used in the proof : quaternion_ds1_symm_0521
% 0.19/0.48
%------------------------------------------------------------------------------