%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT005-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 1.05s 1.22s
% Output : Refutation 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of clauses : 49 ( 30 unt; 0 nHn; 49 RR)
% Number of literals : 84 ( 0 equ; 36 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(5,axiom,
join(u,n0,u),
file('LAT005-2.p',unknown),
[] ).
cnf(6,axiom,
meet(n0,u,n0),
file('LAT005-2.p',unknown),
[] ).
cnf(11,axiom,
( ~ meet(u,v,w)
| meet(v,u,w) ),
file('LAT005-2.p',unknown),
[] ).
cnf(12,axiom,
( ~ join(u,v,w)
| join(v,u,w) ),
file('LAT005-2.p',unknown),
[] ).
cnf(14,axiom,
( ~ join(u,v,w)
| meet(u,w,u) ),
file('LAT005-2.p',unknown),
[] ).
cnf(15,axiom,
( ~ meet(u,v,w)
| ~ meet(x,y,v)
| ~ meet(u,x,z)
| meet(z,y,w) ),
file('LAT005-2.p',unknown),
[] ).
cnf(16,axiom,
( ~ meet(u,v,w)
| ~ meet(x,v,y)
| ~ meet(z,x,u)
| meet(z,y,w) ),
file('LAT005-2.p',unknown),
[] ).
cnf(20,axiom,
( ~ join(u,v,w)
| ~ meet(x,y,v)
| ~ join(u,x,z)
| ~ meet(u,y,u)
| meet(y,z,w) ),
file('LAT005-2.p',unknown),
[] ).
cnf(21,axiom,
~ meet(a2,b2,r1),
file('LAT005-2.p',unknown),
[] ).
cnf(22,axiom,
meet(a,b,c),
file('LAT005-2.p',unknown),
[] ).
cnf(24,axiom,
meet(c,r2,n0),
file('LAT005-2.p',unknown),
[] ).
cnf(25,axiom,
meet(r2,b,e),
file('LAT005-2.p',unknown),
[] ).
cnf(26,axiom,
join(a,b,c2),
file('LAT005-2.p',unknown),
[] ).
cnf(28,axiom,
meet(c2,r1,n0),
file('LAT005-2.p',unknown),
[] ).
cnf(29,axiom,
meet(r2,a,d),
file('LAT005-2.p',unknown),
[] ).
cnf(30,axiom,
join(r1,e,a2),
file('LAT005-2.p',unknown),
[] ).
cnf(31,axiom,
join(r1,d,b2),
file('LAT005-2.p',unknown),
[] ).
cnf(34,plain,
join(d,r1,b2),
inference(res,[status(thm),theory(equality)],[31,12]),
[iquote('0:Res:31.0,12.0')] ).
cnf(35,plain,
meet(r1,b2,r1),
inference(res,[status(thm),theory(equality)],[31,14]),
[iquote('0:Res:31.0,14.0')] ).
cnf(52,plain,
( ~ join(r1,u,v)
| ~ meet(e,w,u)
| ~ meet(r1,w,r1)
| meet(w,a2,v) ),
inference(res,[status(thm),theory(equality)],[30,20]),
[iquote('0:Res:30.0,20.1')] ).
cnf(54,plain,
( ~ meet(r2,u,v)
| ~ meet(a,w,u)
| meet(d,w,v) ),
inference(res,[status(thm),theory(equality)],[29,15]),
[iquote('0:Res:29.0,15.0')] ).
cnf(66,plain,
meet(b,r2,e),
inference(res,[status(thm),theory(equality)],[25,11]),
[iquote('0:Res:25.0,11.0')] ).
cnf(67,plain,
meet(r1,c2,n0),
inference(res,[status(thm),theory(equality)],[28,11]),
[iquote('0:Res:28.0,11.0')] ).
cnf(68,plain,
meet(r2,c,n0),
inference(res,[status(thm),theory(equality)],[24,11]),
[iquote('0:Res:24.0,11.0')] ).
cnf(85,plain,
join(b,a,c2),
inference(res,[status(thm),theory(equality)],[26,12]),
[iquote('0:Res:26.0,12.0')] ).
cnf(102,plain,
meet(a,c2,a),
inference(res,[status(thm),theory(equality)],[26,14]),
[iquote('0:Res:26.0,14.0')] ).
cnf(114,plain,
meet(b,c2,b),
inference(res,[status(thm),theory(equality)],[85,14]),
[iquote('0:Res:85.0,14.0')] ).
cnf(147,plain,
( ~ meet(u,v,w)
| ~ meet(x,u,n0)
| meet(x,w,n0) ),
inference(res,[status(thm),theory(equality)],[6,16]),
[iquote('0:Res:6.0,16.0')] ).
cnf(167,plain,
meet(c2,b,b),
inference(res,[status(thm),theory(equality)],[114,11]),
[iquote('0:Res:114.0,11.0')] ).
cnf(304,plain,
( ~ meet(u,v,n0)
| ~ join(w,u,x)
| ~ meet(w,v,w)
| meet(v,x,w) ),
inference(res,[status(thm),theory(equality)],[5,20]),
[iquote('0:Res:5.0,20.0')] ).
cnf(409,plain,
( ~ meet(a,u,a)
| meet(d,u,d) ),
inference(res,[status(thm),theory(equality)],[29,54]),
[iquote('0:Res:29.0,54.0')] ).
cnf(412,plain,
( ~ meet(a,u,c)
| meet(d,u,n0) ),
inference(res,[status(thm),theory(equality)],[68,54]),
[iquote('0:Res:68.0,54.0')] ).
cnf(503,plain,
meet(d,c2,d),
inference(res,[status(thm),theory(equality)],[102,409]),
[iquote('0:Res:102.0,409.0')] ).
cnf(543,plain,
meet(d,b,n0),
inference(res,[status(thm),theory(equality)],[22,412]),
[iquote('0:Res:22.0,412.0')] ).
cnf(547,plain,
( ~ meet(u,b,v)
| ~ meet(w,u,d)
| meet(w,v,n0) ),
inference(res,[status(thm),theory(equality)],[543,16]),
[iquote('0:Res:543.0,16.0')] ).
cnf(850,plain,
( ~ meet(u,b,n0)
| meet(u,e,n0) ),
inference(res,[status(thm),theory(equality)],[66,147]),
[iquote('0:Res:66.0,147.0')] ).
cnf(1755,plain,
( ~ meet(e,u,n0)
| ~ meet(r1,u,r1)
| meet(u,a2,r1) ),
inference(res,[status(thm),theory(equality)],[5,52]),
[iquote('0:Res:5.0,52.0')] ).
cnf(2298,plain,
( ~ join(u,r1,v)
| ~ meet(u,c2,u)
| meet(c2,v,u) ),
inference(res,[status(thm),theory(equality)],[67,304]),
[iquote('0:Res:67.0,304.0')] ).
cnf(4082,plain,
( ~ meet(d,c2,d)
| meet(c2,b2,d) ),
inference(res,[status(thm),theory(equality)],[34,2298]),
[iquote('0:Res:34.0,2298.0')] ).
cnf(4087,plain,
meet(c2,b2,d),
inference(mrr,[status(thm)],[4082,503]),
[iquote('0:MRR:4082.0,503.0')] ).
cnf(4128,plain,
meet(b2,c2,d),
inference(res,[status(thm),theory(equality)],[4087,11]),
[iquote('0:Res:4087.0,11.0')] ).
cnf(5441,plain,
( ~ meet(u,c2,d)
| meet(u,b,n0) ),
inference(res,[status(thm),theory(equality)],[167,547]),
[iquote('0:Res:167.0,547.0')] ).
cnf(5651,plain,
meet(b2,b,n0),
inference(res,[status(thm),theory(equality)],[4128,5441]),
[iquote('0:Res:4128.0,5441.0')] ).
cnf(5685,plain,
meet(b2,e,n0),
inference(res,[status(thm),theory(equality)],[5651,850]),
[iquote('0:Res:5651.0,850.0')] ).
cnf(5754,plain,
meet(e,b2,n0),
inference(res,[status(thm),theory(equality)],[5685,11]),
[iquote('0:Res:5685.0,11.0')] ).
cnf(5825,plain,
( ~ meet(r1,b2,r1)
| meet(b2,a2,r1) ),
inference(res,[status(thm),theory(equality)],[5754,1755]),
[iquote('0:Res:5754.0,1755.0')] ).
cnf(5835,plain,
meet(b2,a2,r1),
inference(mrr,[status(thm)],[5825,35]),
[iquote('0:MRR:5825.0,35.0')] ).
cnf(5853,plain,
meet(a2,b2,r1),
inference(res,[status(thm),theory(equality)],[5835,11]),
[iquote('0:Res:5835.0,11.0')] ).
cnf(5869,plain,
$false,
inference(mrr,[status(thm)],[5853,21]),
[iquote('0:MRR:5853.0,21.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT005-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % 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 11:31:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.05/1.22
% 1.05/1.22 SPASS V 3.9
% 1.05/1.22 SPASS beiseite: Proof found.
% 1.05/1.22 % SZS status Theorem
% 1.05/1.22 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.05/1.22 SPASS derived 5724 clauses, backtracked 0 clauses, performed 0 splits and kept 2958 clauses.
% 1.05/1.22 SPASS allocated 65906 KBytes.
% 1.05/1.22 SPASS spent 0:00:00.86 on the problem.
% 1.05/1.22 0:00:00.04 for the input.
% 1.05/1.22 0:00:00.00 for the FLOTTER CNF translation.
% 1.05/1.22 0:00:00.13 for inferences.
% 1.05/1.22 0:00:00.00 for the backtracking.
% 1.05/1.22 0:00:00.48 for the reduction.
% 1.05/1.22
% 1.05/1.22
% 1.05/1.22 Here is a proof with depth 10, length 49 :
% 1.05/1.22 % SZS output start Refutation
% See solution above
% 1.05/1.22 Formulae used in the proof : join_x_and_0 meet_0_and_x commutativity_of_meet commutativity_of_join absorbtion2 associativity_of_meet1 associativity_of_meet2 modularity2 meet_a2_and_b2 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
% 1.05/1.22
%------------------------------------------------------------------------------