TSTP Solution File: SWC095-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC095-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 22:01:40 EDT 2022
% Result : Unsatisfiable 18.39s 18.58s
% Output : Refutation 18.39s
% 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('SWC095-1.p',unknown),
[] ).
cnf(6,axiom,
equal(sk3,sk1),
file('SWC095-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| ~ equal(app(app(u,v),w),sk1)
| ~ equal(app(u,w),sk2) ),
file('SWC095-1.p',unknown),
[] ).
cnf(8,axiom,
ssList(sk5),
file('SWC095-1.p',unknown),
[] ).
cnf(9,axiom,
ssList(sk6),
file('SWC095-1.p',unknown),
[] ).
cnf(10,axiom,
ssList(sk7),
file('SWC095-1.p',unknown),
[] ).
cnf(11,axiom,
equal(app(app(sk5,sk6),sk7),sk3),
file('SWC095-1.p',unknown),
[] ).
cnf(12,axiom,
equal(app(sk5,sk7),sk4),
file('SWC095-1.p',unknown),
[] ).
cnf(161,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| equal(app(app(u,v),w),app(u,app(v,w))) ),
file('SWC095-1.p',unknown),
[] ).
cnf(200,plain,
equal(app(sk5,sk7),sk2),
inference(rew,[status(thm),theory(equality)],[5,12]),
[iquote('0:Rew:5.0,12.0')] ).
cnf(201,plain,
equal(app(app(sk5,sk6),sk7),sk1),
inference(rew,[status(thm),theory(equality)],[6,11]),
[iquote('0:Rew:6.0,11.0')] ).
cnf(204,plain,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| ~ equal(app(w,u),sk2)
| ~ equal(app(w,app(v,u)),sk1) ),
inference(rew,[status(thm),theory(equality)],[161,7]),
[iquote('0:Rew:161.3,7.3')] ).
cnf(15799,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ~ ssList(sk7)
| equal(app(sk5,app(sk6,sk7)),sk1) ),
inference(spr,[status(thm),theory(equality)],[201,161]),
[iquote('0:SpR:201.0,161.3')] ).
cnf(25528,plain,
equal(app(sk5,app(sk6,sk7)),sk1),
inference(ssi,[status(thm)],[15799,10,9,8]),
[iquote('0:SSi:15799.2,15799.1,15799.0,10.0,9.0,8.0')] ).
cnf(25734,plain,
( ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssList(sk5)
| ~ equal(app(sk5,sk7),sk2)
| ~ equal(sk1,sk1) ),
inference(spl,[status(thm),theory(equality)],[25528,204]),
[iquote('0:SpL:25528.0,204.4')] ).
cnf(26973,plain,
( ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssList(sk5)
| ~ equal(app(sk5,sk7),sk2) ),
inference(obv,[status(thm),theory(equality)],[25734]),
[iquote('0:Obv:25734.4')] ).
cnf(26974,plain,
( ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssList(sk5)
| ~ equal(sk2,sk2) ),
inference(rew,[status(thm),theory(equality)],[200,26973]),
[iquote('0:Rew:200.0,26973.3')] ).
cnf(26975,plain,
( ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssList(sk5) ),
inference(obv,[status(thm),theory(equality)],[26974]),
[iquote('0:Obv:26974.3')] ).
cnf(26976,plain,
$false,
inference(ssi,[status(thm)],[26975,8,9,10]),
[iquote('0:SSi:26975.2,26975.1,26975.0,8.0,9.0,10.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWC095-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.11 % Command : run_spass %d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Sun Jun 12 00:00:40 EDT 2022
% 0.10/0.30 % CPUTime :
% 18.39/18.58
% 18.39/18.58 SPASS V 3.9
% 18.39/18.58 SPASS beiseite: Proof found.
% 18.39/18.58 % SZS status Theorem
% 18.39/18.58 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.39/18.58 SPASS derived 13717 clauses, backtracked 8883 clauses, performed 85 splits and kept 13036 clauses.
% 18.39/18.58 SPASS allocated 95108 KBytes.
% 18.39/18.58 SPASS spent 0:0:16.26 on the problem.
% 18.39/18.58 0:00:00.03 for the input.
% 18.39/18.58 0:00:00.00 for the FLOTTER CNF translation.
% 18.39/18.58 0:00:00.19 for inferences.
% 18.39/18.58 0:00:00.70 for the backtracking.
% 18.39/18.58 0:0:15.08 for the reduction.
% 18.39/18.58
% 18.39/18.58
% 18.39/18.58 Here is a proof with depth 2, length 19 :
% 18.39/18.58 % SZS output start Refutation
% See solution above
% 18.39/18.58 Formulae used in the proof : co1_5 co1_6 co1_7 co1_8 co1_9 co1_10 co1_11 co1_12 clause149
% 18.39/18.58
%------------------------------------------------------------------------------