TSTP Solution File: SWV539-1.004 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV539-1.004 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 21:44:03 EDT 2022
% Result : Unsatisfiable 0.37s 0.57s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of clauses : 35 ( 12 unt; 19 nHn; 35 RR)
% Number of literals : 70 ( 0 equ; 17 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(select(store(u,v,w),v),w),
file('SWV539-1.004.p',unknown),
[] ).
cnf(2,axiom,
( equal(u,v)
| equal(select(store(w,u,x),v),select(w,v)) ),
file('SWV539-1.004.p',unknown),
[] ).
cnf(3,axiom,
equal(store(u,v,select(u,v)),u),
file('SWV539-1.004.p',unknown),
[] ).
cnf(4,axiom,
equal(store(store(u,v,w),v,x),store(u,v,x)),
file('SWV539-1.004.p',unknown),
[] ).
cnf(5,axiom,
( equal(u,v)
| equal(store(store(w,u,x),v,y),store(store(w,v,y),u,x)) ),
file('SWV539-1.004.p',unknown),
[] ).
cnf(6,axiom,
~ equal(store(store(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3)),i0,select(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3)),i2)),i2,select(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3)),i0)),store(store(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3)),i2,select(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3)),i0)),i0,select(store(store(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i2)),i2,select(store(store(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i3)),i3,select(store(store(a1,i1,select(a1,i1)),i1,select(a1,i1)),i0)),i3)),i2))),
file('SWV539-1.004.p',unknown),
[] ).
cnf(7,plain,
~ equal(store(store(store(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i2)),i2,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i0,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i2,select(store(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i2)),i2,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i0)),store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0))),
inference(rew,[status(thm),theory(equality)],[1,6,4,3]),
[iquote('0:Rew:1.0,6.0,4.0,6.0,1.0,6.0,4.0,6.0,1.0,6.0,3.0,6.0,3.0,6.0')] ).
cnf(23,plain,
( equal(u,v)
| equal(store(store(w,u,x),v,select(w,v)),store(w,u,x)) ),
inference(spr,[status(thm),theory(equality)],[2,3]),
[iquote('0:SpR:2.1,3.0')] ).
cnf(42,plain,
( equal(u,v)
| equal(u,w)
| equal(select(store(store(x,u,y),v,z),w),select(store(x,v,z),w)) ),
inference(spr,[status(thm),theory(equality)],[5,2]),
[iquote('0:SpR:5.1,2.1')] ).
cnf(43,plain,
( equal(u,v)
| equal(u,w)
| equal(store(store(store(x,u,y),v,z),w,x1),store(store(store(x,v,z),w,x1),u,y)) ),
inference(spr,[status(thm),theory(equality)],[5]),
[iquote('0:SpR:5.1,5.1')] ).
cnf(48,plain,
( equal(u,v)
| equal(store(store(store(w,v,x),u,y),v,z),store(store(w,v,z),u,y)) ),
inference(spr,[status(thm),theory(equality)],[4,5]),
[iquote('0:SpR:4.0,5.1')] ).
cnf(85,plain,
( equal(u,v)
| equal(v,w)
| equal(store(store(store(store(x,v,y),u,z),w,x1),v,x2),store(store(store(x,v,x2),u,z),w,x1)) ),
inference(spr,[status(thm),theory(equality)],[48,5]),
[iquote('0:SpR:48.1,5.1')] ).
cnf(93,plain,
( equal(u,v)
| equal(w,u)
| equal(store(store(store(store(x,u,y),v,z),w,x1),u,x2),store(store(store(x,v,z),u,x2),w,x1)) ),
inference(spr,[status(thm),theory(equality)],[5,48]),
[iquote('0:SpR:5.1,48.1')] ).
cnf(119,plain,
( equal(u,v)
| equal(v,w)
| equal(store(store(store(x,u,y),v,z),w,x1),store(store(store(x,v,z),u,y),w,x1)) ),
inference(rew,[status(thm),theory(equality)],[93,85]),
[iquote('0:Rew:93.2,85.2')] ).
cnf(213,plain,
( ~ equal(store(store(store(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i2)),i2,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i0,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i2,select(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i2,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i0)),store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0)))
| equal(i2,i3)
| equal(i3,i0) ),
inference(spl,[status(thm),theory(equality)],[42,7]),
[iquote('0:SpL:42.2,7.0')] ).
cnf(231,plain,
( ~ equal(store(store(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i2)),i2,select(store(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i2)),i2,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i0)),i0,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0)))
| equal(i2,i0) ),
inference(spl,[status(thm),theory(equality)],[48,7]),
[iquote('0:SpL:48.1,7.0')] ).
cnf(232,plain,
( ~ equal(store(store(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3,select(store(a1,i3,select(a1,i0)),i2)),i0,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i2,select(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3,select(store(a1,i3,select(a1,i0)),i2)),i0)),store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i0,select(a1,i0)),i2,select(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i0)))
| equal(i2,i0) ),
inference(rew,[status(thm),theory(equality)],[2,231,5]),
[iquote('0:Rew:2.1,231.0,2.1,231.0,5.1,231.0,2.1,231.0,5.1,231.0')] ).
cnf(237,plain,
( ~ equal(store(store(store(store(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2,select(a1,i0)),i0,select(a1,i0)),i3,select(store(a1,i0,select(a1,i3)),i2)),i2,select(store(store(a1,i0,select(a1,i3)),i2,select(a1,i0)),i0)),store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(a1,i0,select(a1,i3)),i2)),i2,select(store(store(a1,i0,select(a1,i3)),i2,select(a1,i0)),i0)),i0,select(a1,i0)))
| equal(i2,i3)
| equal(i3,i0) ),
inference(rew,[status(thm),theory(equality)],[2,213,5,42,1]),
[iquote('0:Rew:2.1,213.0,5.1,213.0,5.1,213.0,42.2,213.0,5.1,213.0,1.0,213.0,2.1,213.0,2.1,213.0,42.2,213.0')] ).
cnf(238,plain,
( ~ equal(store(store(store(store(store(a1,i0,select(a1,i3)),i2,select(a1,i0)),i0,select(a1,i0)),i3,select(store(a1,i0,select(a1,i3)),i2)),i2,select(store(store(a1,i0,select(a1,i3)),i2,select(a1,i0)),i0)),store(store(store(store(a1,i0,select(a1,i3)),i2,select(store(store(a1,i0,select(a1,i3)),i2,select(a1,i0)),i0)),i0,select(a1,i0)),i3,select(store(a1,i0,select(a1,i3)),i2)))
| equal(i2,i3)
| equal(i3,i0) ),
inference(rew,[status(thm),theory(equality)],[119,237,93,43]),
[iquote('0:Rew:119.2,237.0,93.2,237.0,43.2,237.0')] ).
cnf(338,plain,
( ~ equal(store(store(store(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i0,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i3,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i2)),i2,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i2,select(store(store(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i2)),i2,select(store(store(a1,i3,select(a1,i0)),i0,select(a1,i3)),i3)),i0)),store(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(store(store(store(a1,i0,select(a1,i3)),i3,select(store(store(a1,i0,select(a1,i3)),i3,select(a1,i0)),i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0)))
| equal(i3,i0)
| equal(i2,i0) ),
inference(spl,[status(thm),theory(equality)],[43,7]),
[iquote('0:SpL:43.2,7.0')] ).
cnf(391,plain,
( ~ equal(store(store(a1,i3,select(store(a1,i3,select(a1,i0)),i2)),i2,select(a1,i3)),store(store(a1,i3,select(store(a1,i3,select(a1,i0)),i2)),i2,select(a1,i3)))
| equal(i3,i0)
| equal(i2,i0) ),
inference(rew,[status(thm),theory(equality)],[3,338,5,48,4,2,43,1,42]),
[iquote('0:Rew:3.0,338.0,5.1,338.0,48.1,338.0,4.0,338.0,2.1,338.0,43.2,338.0,1.0,338.0,2.1,338.0,43.2,338.0,1.0,338.0,2.1,338.0,2.1,338.0,4.0,338.0,3.0,338.0,4.0,338.0,42.2,338.0,1.0,338.0,2.1,338.0,2.1,338.0,43.2,338.0')] ).
cnf(392,plain,
( equal(i3,i0)
| equal(i2,i0) ),
inference(obv,[status(thm),theory(equality)],[391]),
[iquote('0:Obv:391.0')] ).
cnf(393,plain,
( ~ equal(store(store(store(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i0,select(store(a1,i0,select(a1,i0)),i2)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i0)),i2,select(store(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i0,select(store(a1,i0,select(a1,i0)),i2)),i0)),store(store(store(store(a1,i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i0,select(a1,i0)),i2,select(store(store(a1,i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i0)))
| equal(i2,i0) ),
inference(rew,[status(thm),theory(equality)],[392,232]),
[iquote('0:Rew:392.0,232.0')] ).
cnf(395,plain,
( ~ equal(store(store(store(store(store(a1,i0,select(a1,i3)),i0,select(a1,i0)),i0,select(a1,i0)),i3,select(store(a1,i0,select(a1,i3)),i0)),i0,select(store(store(a1,i0,select(a1,i3)),i0,select(a1,i0)),i0)),store(store(store(store(a1,i0,select(a1,i3)),i0,select(store(store(a1,i0,select(a1,i3)),i0,select(a1,i0)),i0)),i0,select(a1,i0)),i3,select(store(a1,i0,select(a1,i3)),i0)))
| equal(i2,i3)
| equal(i3,i0) ),
inference(rew,[status(thm),theory(equality)],[392,238]),
[iquote('0:Rew:392.1,238.0')] ).
cnf(396,plain,
( ~ equal(a1,a1)
| equal(i2,i3)
| equal(i3,i0) ),
inference(rew,[status(thm),theory(equality)],[3,395,23,4,5,1]),
[iquote('0:Rew:3.0,395.0,23.1,395.0,4.0,395.0,5.1,395.0,3.0,395.0,23.1,395.0,4.0,395.0,4.0,395.0,1.0,395.0')] ).
cnf(397,plain,
( equal(i2,i3)
| equal(i3,i0) ),
inference(obv,[status(thm),theory(equality)],[396]),
[iquote('0:Obv:396.0')] ).
cnf(398,plain,
( equal(i3,i0)
| equal(i3,i0) ),
inference(rew,[status(thm),theory(equality)],[392,397]),
[iquote('0:Rew:392.1,397.0')] ).
cnf(399,plain,
equal(i3,i0),
inference(obv,[status(thm),theory(equality)],[398]),
[iquote('0:Obv:398.0')] ).
cnf(400,plain,
~ equal(store(store(store(store(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i0)),i2,select(store(store(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i0)),i0)),store(store(store(store(a1,i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(store(store(store(a1,i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0))),
inference(rew,[status(thm),theory(equality)],[399,7]),
[iquote('0:Rew:399.0,7.0')] ).
cnf(401,plain,
( ~ equal(a1,a1)
| equal(i2,i0) ),
inference(rew,[status(thm),theory(equality)],[3,393,23,4,1,2]),
[iquote('0:Rew:3.0,393.0,23.1,393.0,4.0,393.0,1.0,393.0,3.0,393.0,23.1,393.0,4.0,393.0,4.0,393.0,2.1,393.0,2.1,393.0,1.0,393.0')] ).
cnf(402,plain,
equal(i2,i0),
inference(obv,[status(thm),theory(equality)],[401]),
[iquote('0:Obv:401.0')] ).
cnf(403,plain,
~ equal(store(store(store(store(a1,i0,select(a1,i2)),i2,select(a1,i0)),i0,select(a1,i0)),i2,select(store(store(a1,i0,select(a1,i2)),i2,select(a1,i0)),i0)),store(store(store(a1,i0,select(a1,i2)),i2,select(store(store(a1,i0,select(a1,i2)),i2,select(a1,i0)),i0)),i0,select(a1,i0))),
inference(rew,[status(thm),theory(equality)],[3,400]),
[iquote('0:Rew:3.0,400.0,3.0,400.0')] ).
cnf(404,plain,
~ equal(store(store(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i0)),store(store(store(a1,i0,select(a1,i0)),i0,select(store(store(a1,i0,select(a1,i0)),i0,select(a1,i0)),i0)),i0,select(a1,i0))),
inference(rew,[status(thm),theory(equality)],[402,403]),
[iquote('0:Rew:402.0,403.0')] ).
cnf(405,plain,
~ equal(a1,a1),
inference(rew,[status(thm),theory(equality)],[3,404]),
[iquote('0:Rew:3.0,404.0,3.0,404.0,3.0,404.0,3.0,404.0')] ).
cnf(406,plain,
$false,
inference(obv,[status(thm),theory(equality)],[405]),
[iquote('0:Obv:405.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV539-1.004 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.12 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 07:11:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.37/0.57
% 0.37/0.57 SPASS V 3.9
% 0.37/0.57 SPASS beiseite: Proof found.
% 0.37/0.57 % SZS status Theorem
% 0.37/0.57 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.57 SPASS derived 234 clauses, backtracked 0 clauses, performed 0 splits and kept 49 clauses.
% 0.37/0.57 SPASS allocated 64109 KBytes.
% 0.37/0.57 SPASS spent 0:00:00.22 on the problem.
% 0.37/0.57 0:00:00.03 for the input.
% 0.37/0.57 0:00:00.00 for the FLOTTER CNF translation.
% 0.37/0.57 0:00:00.01 for inferences.
% 0.37/0.57 0:00:00.00 for the backtracking.
% 0.37/0.57 0:00:00.15 for the reduction.
% 0.37/0.57
% 0.37/0.57
% 0.37/0.57 Here is a proof with depth 2, length 35 :
% 0.37/0.57 % SZS output start Refutation
% See solution above
% 0.37/0.58 Formulae used in the proof : a1 a2 a3 a4 a5 goal
% 0.37/0.58
%------------------------------------------------------------------------------