%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC006-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 : Tue Jul 19 22:01:01 EDT 2022
% Result : Unsatisfiable 18.02s 18.19s
% Output : Refutation 18.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 11 unt; 0 nHn; 19 RR)
% Number of literals : 45 ( 0 equ; 32 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
equal(sk4,sk2),
file('SWC006-1.p',unknown),
[] ).
cnf(6,axiom,
equal(sk3,sk1),
file('SWC006-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| ~ equal(app(app(u,v),w),sk2)
| ~ equal(app(u,w),sk1) ),
file('SWC006-1.p',unknown),
[] ).
cnf(8,axiom,
ssList(sk5),
file('SWC006-1.p',unknown),
[] ).
cnf(9,axiom,
ssList(sk6),
file('SWC006-1.p',unknown),
[] ).
cnf(10,axiom,
ssList(sk7),
file('SWC006-1.p',unknown),
[] ).
cnf(11,axiom,
equal(app(app(sk5,sk6),sk7),sk4),
file('SWC006-1.p',unknown),
[] ).
cnf(12,axiom,
equal(app(sk5,sk7),sk3),
file('SWC006-1.p',unknown),
[] ).
cnf(161,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| equal(app(app(u,v),w),app(u,app(v,w))) ),
file('SWC006-1.p',unknown),
[] ).
cnf(200,plain,
equal(app(sk5,sk7),sk1),
inference(rew,[status(thm),theory(equality)],[6,12]),
[iquote('0:Rew:6.0,12.0')] ).
cnf(201,plain,
equal(app(app(sk5,sk6),sk7),sk2),
inference(rew,[status(thm),theory(equality)],[5,11]),
[iquote('0:Rew:5.0,11.0')] ).
cnf(204,plain,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| ~ equal(app(w,u),sk1)
| ~ equal(app(w,app(v,u)),sk2) ),
inference(rew,[status(thm),theory(equality)],[161,7]),
[iquote('0:Rew:161.3,7.3')] ).
cnf(15675,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ~ ssList(sk7)
| equal(app(sk5,app(sk6,sk7)),sk2) ),
inference(spr,[status(thm),theory(equality)],[201,161]),
[iquote('0:SpR:201.0,161.3')] ).
cnf(24341,plain,
equal(app(sk5,app(sk6,sk7)),sk2),
inference(ssi,[status(thm)],[15675,10,9,8]),
[iquote('0:SSi:15675.2,15675.1,15675.0,10.0,9.0,8.0')] ).
cnf(24547,plain,
( ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssList(sk5)
| ~ equal(app(sk5,sk7),sk1)
| ~ equal(sk2,sk2) ),
inference(spl,[status(thm),theory(equality)],[24341,204]),
[iquote('0:SpL:24341.0,204.4')] ).
cnf(25786,plain,
( ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssList(sk5)
| ~ equal(app(sk5,sk7),sk1) ),
inference(obv,[status(thm),theory(equality)],[24547]),
[iquote('0:Obv:24547.4')] ).
cnf(25787,plain,
( ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssList(sk5)
| ~ equal(sk1,sk1) ),
inference(rew,[status(thm),theory(equality)],[200,25786]),
[iquote('0:Rew:200.0,25786.3')] ).
cnf(25788,plain,
( ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssList(sk5) ),
inference(obv,[status(thm),theory(equality)],[25787]),
[iquote('0:Obv:25787.3')] ).
cnf(25789,plain,
$false,
inference(ssi,[status(thm)],[25788,8,9,10]),
[iquote('0:SSi:25788.2,25788.1,25788.0,8.0,9.0,10.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC006-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 12 14:03:21 EDT 2022
% 0.13/0.35 % CPUTime :
% 18.02/18.19
% 18.02/18.19 SPASS V 3.9
% 18.02/18.19 SPASS beiseite: Proof found.
% 18.02/18.19 % SZS status Theorem
% 18.02/18.19 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.02/18.19 SPASS derived 13206 clauses, backtracked 8419 clauses, performed 84 splits and kept 12520 clauses.
% 18.02/18.19 SPASS allocated 94376 KBytes.
% 18.02/18.19 SPASS spent 0:0:15.92 on the problem.
% 18.02/18.19 0:00:00.04 for the input.
% 18.02/18.19 0:00:00.00 for the FLOTTER CNF translation.
% 18.02/18.19 0:00:00.19 for inferences.
% 18.02/18.19 0:00:00.69 for the backtracking.
% 18.02/18.19 0:0:14.69 for the reduction.
% 18.02/18.19
% 18.02/18.19
% 18.02/18.19 Here is a proof with depth 2, length 19 :
% 18.02/18.19 % SZS output start Refutation
% See solution above
% 18.02/18.19 Formulae used in the proof : co1_5 co1_6 co1_7 co1_8 co1_9 co1_10 co1_11 co1_12 clause149
% 18.02/18.19
%------------------------------------------------------------------------------