TSTP Solution File: LAT005-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT005-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : Sun Jul 17 06:48:31 EDT 2022
% Result : Unsatisfiable 1.80s 2.05s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of clauses : 50 ( 30 unt; 0 nHn; 50 RR)
% Number of literals : 89 ( 0 equ; 40 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 17 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
join(n0,u,u),
file('LAT005-1.p',unknown),
[] ).
cnf(4,axiom,
meet(n0,u,n0),
file('LAT005-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ meet(u,v,w)
| meet(v,u,w) ),
file('LAT005-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ join(u,v,w)
| join(v,u,w) ),
file('LAT005-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ join(u,v,w)
| meet(u,w,u) ),
file('LAT005-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ meet(u,v,w)
| ~ meet(x,y,v)
| ~ meet(u,x,z)
| meet(z,y,w) ),
file('LAT005-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ meet(u,v,w)
| ~ meet(x,v,y)
| ~ meet(z,x,u)
| meet(z,y,w) ),
file('LAT005-1.p',unknown),
[] ).
cnf(16,axiom,
( ~ join(u,v,w)
| ~ meet(x,y,v)
| ~ join(u,x,z)
| ~ meet(u,y,u)
| meet(y,z,w) ),
file('LAT005-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ join(u,v,w)
| ~ meet(x,y,v)
| ~ join(y,u,z)
| ~ meet(x,u,u)
| meet(x,z,w) ),
file('LAT005-1.p',unknown),
[] ).
cnf(19,axiom,
meet(a,b,c),
file('LAT005-1.p',unknown),
[] ).
cnf(21,axiom,
meet(c,r2,n0),
file('LAT005-1.p',unknown),
[] ).
cnf(22,axiom,
meet(r2,b,e),
file('LAT005-1.p',unknown),
[] ).
cnf(23,axiom,
join(a,b,c2),
file('LAT005-1.p',unknown),
[] ).
cnf(25,axiom,
meet(c2,r1,n0),
file('LAT005-1.p',unknown),
[] ).
cnf(26,axiom,
meet(r2,a,d),
file('LAT005-1.p',unknown),
[] ).
cnf(27,axiom,
join(r1,e,a2),
file('LAT005-1.p',unknown),
[] ).
cnf(28,axiom,
join(r1,d,b2),
file('LAT005-1.p',unknown),
[] ).
cnf(29,axiom,
~ meet(a2,b2,r1),
file('LAT005-1.p',unknown),
[] ).
cnf(33,plain,
meet(r1,b2,r1),
inference(res,[status(thm),theory(equality)],[28,10]),
[iquote('0:Res:28.0,10.0')] ).
cnf(41,plain,
( ~ meet(u,r1,v)
| ~ meet(u,d,d)
| ~ join(d,v,w)
| meet(u,b2,w) ),
inference(res,[status(thm),theory(equality)],[28,18]),
[iquote('0:Res:28.0,18.1')] ).
cnf(48,plain,
( ~ join(r1,u,v)
| ~ meet(e,w,u)
| ~ meet(r1,w,r1)
| meet(w,a2,v) ),
inference(res,[status(thm),theory(equality)],[27,16]),
[iquote('0:Res:27.0,16.1')] ).
cnf(58,plain,
( ~ meet(r2,u,v)
| ~ meet(a,w,u)
| meet(d,w,v) ),
inference(res,[status(thm),theory(equality)],[26,11]),
[iquote('0:Res:26.0,11.0')] ).
cnf(77,plain,
join(b,a,c2),
inference(res,[status(thm),theory(equality)],[23,8]),
[iquote('0:Res:23.0,8.0')] ).
cnf(81,plain,
join(u,n0,u),
inference(res,[status(thm),theory(equality)],[3,8]),
[iquote('0:Res:3.0,8.0')] ).
cnf(84,plain,
meet(b,r2,e),
inference(res,[status(thm),theory(equality)],[22,7]),
[iquote('0:Res:22.0,7.0')] ).
cnf(86,plain,
meet(r2,c,n0),
inference(res,[status(thm),theory(equality)],[21,7]),
[iquote('0:Res:21.0,7.0')] ).
cnf(124,plain,
meet(a,c2,a),
inference(res,[status(thm),theory(equality)],[23,10]),
[iquote('0:Res:23.0,10.0')] ).
cnf(125,plain,
meet(b,c2,b),
inference(res,[status(thm),theory(equality)],[77,10]),
[iquote('0:Res:77.0,10.0')] ).
cnf(189,plain,
meet(c2,b,b),
inference(res,[status(thm),theory(equality)],[125,7]),
[iquote('0:Res:125.0,7.0')] ).
cnf(200,plain,
( ~ meet(u,v,w)
| ~ meet(x,u,n0)
| meet(x,w,n0) ),
inference(res,[status(thm),theory(equality)],[4,12]),
[iquote('0:Res:4.0,12.0')] ).
cnf(592,plain,
( ~ meet(a,u,a)
| meet(d,u,d) ),
inference(res,[status(thm),theory(equality)],[26,58]),
[iquote('0:Res:26.0,58.0')] ).
cnf(594,plain,
( ~ meet(a,u,c)
| meet(d,u,n0) ),
inference(res,[status(thm),theory(equality)],[86,58]),
[iquote('0:Res:86.0,58.0')] ).
cnf(629,plain,
meet(d,c2,d),
inference(res,[status(thm),theory(equality)],[124,592]),
[iquote('0:Res:124.0,592.0')] ).
cnf(637,plain,
meet(c2,d,d),
inference(res,[status(thm),theory(equality)],[629,7]),
[iquote('0:Res:629.0,7.0')] ).
cnf(686,plain,
meet(d,b,n0),
inference(res,[status(thm),theory(equality)],[19,594]),
[iquote('0:Res:19.0,594.0')] ).
cnf(691,plain,
( ~ meet(u,b,v)
| ~ meet(w,u,d)
| meet(w,v,n0) ),
inference(res,[status(thm),theory(equality)],[686,12]),
[iquote('0:Res:686.0,12.0')] ).
cnf(1055,plain,
( ~ meet(u,b,n0)
| meet(u,e,n0) ),
inference(res,[status(thm),theory(equality)],[84,200]),
[iquote('0:Res:84.0,200.0')] ).
cnf(1884,plain,
( ~ meet(e,u,n0)
| ~ meet(r1,u,r1)
| meet(u,a2,r1) ),
inference(res,[status(thm),theory(equality)],[81,48]),
[iquote('0:Res:81.0,48.0')] ).
cnf(1914,plain,
( ~ meet(c2,d,d)
| ~ join(d,n0,u)
| meet(c2,b2,u) ),
inference(res,[status(thm),theory(equality)],[25,41]),
[iquote('0:Res:25.0,41.0')] ).
cnf(1920,plain,
( ~ join(d,n0,u)
| meet(c2,b2,u) ),
inference(mrr,[status(thm)],[1914,637]),
[iquote('0:MRR:1914.0,637.0')] ).
cnf(3282,plain,
meet(c2,b2,d),
inference(res,[status(thm),theory(equality)],[81,1920]),
[iquote('0:Res:81.0,1920.0')] ).
cnf(3303,plain,
meet(b2,c2,d),
inference(res,[status(thm),theory(equality)],[3282,7]),
[iquote('0:Res:3282.0,7.0')] ).
cnf(7718,plain,
( ~ meet(u,c2,d)
| meet(u,b,n0) ),
inference(res,[status(thm),theory(equality)],[189,691]),
[iquote('0:Res:189.0,691.0')] ).
cnf(8032,plain,
meet(b2,b,n0),
inference(res,[status(thm),theory(equality)],[3303,7718]),
[iquote('0:Res:3303.0,7718.0')] ).
cnf(8058,plain,
meet(b2,e,n0),
inference(res,[status(thm),theory(equality)],[8032,1055]),
[iquote('0:Res:8032.0,1055.0')] ).
cnf(8140,plain,
meet(e,b2,n0),
inference(res,[status(thm),theory(equality)],[8058,7]),
[iquote('0:Res:8058.0,7.0')] ).
cnf(8180,plain,
( ~ meet(r1,b2,r1)
| meet(b2,a2,r1) ),
inference(res,[status(thm),theory(equality)],[8140,1884]),
[iquote('0:Res:8140.0,1884.0')] ).
cnf(8188,plain,
meet(b2,a2,r1),
inference(mrr,[status(thm)],[8180,33]),
[iquote('0:MRR:8180.0,33.0')] ).
cnf(8213,plain,
meet(a2,b2,r1),
inference(res,[status(thm),theory(equality)],[8188,7]),
[iquote('0:Res:8188.0,7.0')] ).
cnf(8236,plain,
$false,
inference(mrr,[status(thm)],[8213,29]),
[iquote('0:MRR:8213.0,29.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LAT005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.12 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n029.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 : Thu Jun 30 03:20:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.80/2.05
% 1.80/2.05 SPASS V 3.9
% 1.80/2.05 SPASS beiseite: Proof found.
% 1.80/2.05 % SZS status Theorem
% 1.80/2.05 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.80/2.05 SPASS derived 8012 clauses, backtracked 0 clauses, performed 0 splits and kept 4224 clauses.
% 1.80/2.05 SPASS allocated 67054 KBytes.
% 1.80/2.05 SPASS spent 0:00:01.68 on the problem.
% 1.80/2.05 0:00:00.03 for the input.
% 1.80/2.05 0:00:00.00 for the FLOTTER CNF translation.
% 1.80/2.05 0:00:00.26 for inferences.
% 1.80/2.05 0:00:00.00 for the backtracking.
% 1.80/2.05 0:00:00.93 for the reduction.
% 1.80/2.05
% 1.80/2.05
% 1.80/2.05 Here is a proof with depth 10, length 50 :
% 1.80/2.05 % SZS output start Refutation
% See solution above
% 1.80/2.05 Formulae used in the proof : join_0_and_x meet_0_and_x commutativity_of_meet commutativity_of_join absorbtion2 associativity_of_meet1 associativity_of_meet2 modularity2 modularity4 meet_a_and_b meet_c_and_r2 meet_r2_and_b join_a_and_b meet_c2_and_r1 meet_r2_and_a join_r1_and_e join_r1_and_d meet_a2_and_b2
% 1.80/2.05
%------------------------------------------------------------------------------