TSTP Solution File: SWC011-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC011-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 22:01:04 EDT 2022
% Result : Unsatisfiable 20.97s 21.22s
% Output : Refutation 20.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of clauses : 30 ( 9 unt; 4 nHn; 30 RR)
% Number of literals : 70 ( 0 equ; 43 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
equal(sk4,sk2),
file('SWC011-1.p',unknown),
[] ).
cnf(6,axiom,
equal(sk3,sk1),
file('SWC011-1.p',unknown),
[] ).
cnf(7,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('SWC011-1.p',unknown),
[] ).
cnf(10,axiom,
( ssItem(sk5)
| neq(sk2,nil) ),
file('SWC011-1.p',unknown),
[] ).
cnf(11,axiom,
( ssList(sk6)
| neq(sk2,nil) ),
file('SWC011-1.p',unknown),
[] ).
cnf(12,axiom,
( ssList(sk7)
| neq(sk2,nil) ),
file('SWC011-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ ssItem(u)
| ~ ssList(v)
| ~ ssList(w)
| ~ equal(app(app(v,cons(u,nil)),w),sk2)
| ~ equal(app(v,w),sk1)
| ~ neq(sk4,nil) ),
file('SWC011-1.p',unknown),
[] ).
cnf(16,axiom,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('SWC011-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('SWC011-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ neq(sk4,nil)
| ssList(sk7) ),
file('SWC011-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ neq(sk4,nil)
| equal(app(app(sk6,cons(sk5,nil)),sk7),sk4) ),
file('SWC011-1.p',unknown),
[] ).
cnf(20,axiom,
( ~ neq(sk4,nil)
| equal(app(sk6,sk7),sk3) ),
file('SWC011-1.p',unknown),
[] ).
cnf(208,plain,
( ~ neq(sk2,nil)
| ssList(sk7) ),
inference(rew,[status(thm),theory(equality)],[5,18]),
[iquote('0:Rew:5.0,18.0')] ).
cnf(209,plain,
ssList(sk7),
inference(mrr,[status(thm)],[208,12]),
[iquote('0:MRR:208.0,12.1')] ).
cnf(210,plain,
( ~ neq(sk2,nil)
| ssList(sk6) ),
inference(rew,[status(thm),theory(equality)],[5,17]),
[iquote('0:Rew:5.0,17.0')] ).
cnf(211,plain,
ssList(sk6),
inference(mrr,[status(thm)],[210,11]),
[iquote('0:MRR:210.0,11.1')] ).
cnf(212,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(rew,[status(thm),theory(equality)],[5,16]),
[iquote('0:Rew:5.0,16.0')] ).
cnf(213,plain,
ssItem(sk5),
inference(mrr,[status(thm)],[212,10]),
[iquote('0:MRR:212.0,10.1')] ).
cnf(214,plain,
neq(sk2,nil),
inference(obv,[status(thm),theory(equality)],[7]),
[iquote('0:Obv:7.0')] ).
cnf(215,plain,
( ~ neq(sk2,nil)
| equal(app(sk6,sk7),sk1) ),
inference(rew,[status(thm),theory(equality)],[6,20,5]),
[iquote('0:Rew:6.0,20.1,5.0,20.0')] ).
cnf(216,plain,
equal(app(sk6,sk7),sk1),
inference(mrr,[status(thm)],[215,214]),
[iquote('0:MRR:215.0,214.0')] ).
cnf(217,plain,
( ~ neq(sk2,nil)
| equal(app(app(sk6,cons(sk5,nil)),sk7),sk2) ),
inference(rew,[status(thm),theory(equality)],[5,19]),
[iquote('0:Rew:5.0,19.1,5.0,19.0')] ).
cnf(218,plain,
equal(app(app(sk6,cons(sk5,nil)),sk7),sk2),
inference(mrr,[status(thm)],[217,214]),
[iquote('0:MRR:217.0,214.0')] ).
cnf(223,plain,
( ~ ssItem(u)
| ~ ssList(v)
| ~ ssList(w)
| ~ equal(app(app(v,cons(u,nil)),w),sk2)
| ~ equal(app(v,w),sk1)
| ~ neq(sk2,nil) ),
inference(rew,[status(thm),theory(equality)],[5,15]),
[iquote('0:Rew:5.0,15.5')] ).
cnf(224,plain,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssItem(w)
| ~ equal(app(v,u),sk1)
| ~ equal(app(app(v,cons(w,nil)),u),sk2) ),
inference(mrr,[status(thm)],[223,214]),
[iquote('0:MRR:223.5,214.0')] ).
cnf(34950,plain,
( ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ equal(app(sk6,sk7),sk1)
| ~ equal(sk2,sk2) ),
inference(spl,[status(thm),theory(equality)],[218,224]),
[iquote('0:SpL:218.0,224.4')] ).
cnf(34951,plain,
( ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ equal(app(sk6,sk7),sk1) ),
inference(obv,[status(thm),theory(equality)],[34950]),
[iquote('0:Obv:34950.4')] ).
cnf(34952,plain,
( ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ equal(sk1,sk1) ),
inference(rew,[status(thm),theory(equality)],[216,34951]),
[iquote('0:Rew:216.0,34951.3')] ).
cnf(34953,plain,
( ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssItem(sk5) ),
inference(obv,[status(thm),theory(equality)],[34952]),
[iquote('0:Obv:34952.3')] ).
cnf(34954,plain,
$false,
inference(ssi,[status(thm)],[34953,213,211,209]),
[iquote('0:SSi:34953.2,34953.1,34953.0,213.0,211.0,209.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC011-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 12 01:39:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 20.97/21.22
% 20.97/21.22 SPASS V 3.9
% 20.97/21.22 SPASS beiseite: Proof found.
% 20.97/21.22 % SZS status Theorem
% 20.97/21.22 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.97/21.22 SPASS derived 23581 clauses, backtracked 12118 clauses, performed 128 splits and kept 21690 clauses.
% 20.97/21.22 SPASS allocated 99388 KBytes.
% 20.97/21.22 SPASS spent 0:0:15.49 on the problem.
% 20.97/21.22 0:00:00.04 for the input.
% 20.97/21.22 0:00:00.00 for the FLOTTER CNF translation.
% 20.97/21.22 0:00:00.20 for inferences.
% 20.97/21.22 0:00:00.43 for the backtracking.
% 20.97/21.22 0:0:14.52 for the reduction.
% 20.97/21.22
% 20.97/21.22
% 20.97/21.22 Here is a proof with depth 1, length 30 :
% 20.97/21.22 % SZS output start Refutation
% See solution above
% 20.97/21.22 Formulae used in the proof : co1_5 co1_6 co1_7 co1_10 co1_11 co1_12 co1_15 co1_16 co1_17 co1_18 co1_19 co1_20
% 20.97/21.22
%------------------------------------------------------------------------------