TSTP Solution File: SWV230+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV230+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 21:41:42 EDT 2022
% Result : Theorem 0.22s 0.51s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 4 unt; 0 nHn; 6 RR)
% Number of literals : 8 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 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(n4,n1),
file('SWV230+1.p',unknown),
[] ).
cnf(7,axiom,
equal(n4,n5),
file('SWV230+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ equal(n4,n5)
| ~ equal(n1,n5) ),
file('SWV230+1.p',unknown),
[] ).
cnf(152,plain,
equal(n1,n5),
inference(rew,[status(thm),theory(equality)],[7,6]),
[iquote('0:Rew:7.0,6.0')] ).
cnf(178,plain,
( ~ equal(n5,n5)
| ~ equal(n5,n5) ),
inference(rew,[status(thm),theory(equality)],[152,80,7]),
[iquote('0:Rew:152.0,80.1,7.0,80.0')] ).
cnf(179,plain,
$false,
inference(obv,[status(thm),theory(equality)],[178]),
[iquote('0:Obv:178.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV230+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.14 % Command : run_spass %d %s
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Tue Jun 14 21:47:07 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.51
% 0.22/0.51 SPASS V 3.9
% 0.22/0.51 SPASS beiseite: Proof found.
% 0.22/0.51 % SZS status Theorem
% 0.22/0.51 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.51 SPASS derived 8 clauses, backtracked 0 clauses, performed 0 splits and kept 28 clauses.
% 0.22/0.51 SPASS allocated 85767 KBytes.
% 0.22/0.51 SPASS spent 0:00:00.14 on the problem.
% 0.22/0.51 0:00:00.04 for the input.
% 0.22/0.51 0:00:00.08 for the FLOTTER CNF translation.
% 0.22/0.51 0:00:00.00 for inferences.
% 0.22/0.51 0:00:00.00 for the backtracking.
% 0.22/0.51 0:00:00.00 for the reduction.
% 0.22/0.51
% 0.22/0.51
% 0.22/0.51 Here is a proof with depth 0, length 6 :
% 0.22/0.51 % SZS output start Refutation
% See solution above
% 0.22/0.51 Formulae used in the proof : quaternion_ds1_symm_0761
% 0.22/0.51
%------------------------------------------------------------------------------