TSTP Solution File: SWC317-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC317-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 22:03:16 EDT 2022
% Result : Unsatisfiable 4.92s 5.12s
% Output : Refutation 4.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 29 ( 9 unt; 3 nHn; 29 RR)
% Number of literals : 63 ( 0 equ; 38 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
equal(sk4,sk2),
file('SWC317-1.p',unknown),
[] ).
cnf(6,axiom,
equal(sk3,sk1),
file('SWC317-1.p',unknown),
[] ).
cnf(7,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('SWC317-1.p',unknown),
[] ).
cnf(10,axiom,
( ssItem(sk5)
| neq(sk2,nil) ),
file('SWC317-1.p',unknown),
[] ).
cnf(11,axiom,
( ssList(sk6)
| neq(sk2,nil) ),
file('SWC317-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ ssItem(u)
| ~ ssList(v)
| ~ equal(app(cons(u,nil),v),sk1)
| ~ equal(app(v,cons(u,nil)),sk2)
| ~ neq(sk4,nil) ),
file('SWC317-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('SWC317-1.p',unknown),
[] ).
cnf(16,axiom,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('SWC317-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ neq(sk4,nil)
| equal(app(cons(sk5,nil),sk6),sk3) ),
file('SWC317-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ neq(sk4,nil)
| equal(app(sk6,cons(sk5,nil)),sk4) ),
file('SWC317-1.p',unknown),
[] ).
cnf(138,axiom,
( ~ ssList(u)
| ~ ssItem(v)
| equal(app(cons(v,nil),u),cons(v,u)) ),
file('SWC317-1.p',unknown),
[] ).
cnf(206,plain,
( ~ neq(sk2,nil)
| ssList(sk6) ),
inference(rew,[status(thm),theory(equality)],[5,16]),
[iquote('0:Rew:5.0,16.0')] ).
cnf(207,plain,
ssList(sk6),
inference(mrr,[status(thm)],[206,11]),
[iquote('0:MRR:206.0,11.1')] ).
cnf(208,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(rew,[status(thm),theory(equality)],[5,15]),
[iquote('0:Rew:5.0,15.0')] ).
cnf(209,plain,
ssItem(sk5),
inference(mrr,[status(thm)],[208,10]),
[iquote('0:MRR:208.0,10.1')] ).
cnf(210,plain,
neq(sk2,nil),
inference(obv,[status(thm),theory(equality)],[7]),
[iquote('0:Obv:7.0')] ).
cnf(211,plain,
( ~ neq(sk2,nil)
| equal(app(sk6,cons(sk5,nil)),sk2) ),
inference(rew,[status(thm),theory(equality)],[5,18]),
[iquote('0:Rew:5.0,18.1,5.0,18.0')] ).
cnf(212,plain,
equal(app(sk6,cons(sk5,nil)),sk2),
inference(mrr,[status(thm)],[211,210]),
[iquote('0:MRR:211.0,210.0')] ).
cnf(213,plain,
( ~ neq(sk2,nil)
| equal(app(cons(sk5,nil),sk6),sk1) ),
inference(rew,[status(thm),theory(equality)],[6,17,5]),
[iquote('0:Rew:6.0,17.1,5.0,17.0')] ).
cnf(214,plain,
equal(app(cons(sk5,nil),sk6),sk1),
inference(mrr,[status(thm)],[213,210]),
[iquote('0:MRR:213.0,210.0')] ).
cnf(219,plain,
( ~ ssItem(u)
| ~ ssList(v)
| ~ equal(cons(u,v),sk1)
| ~ equal(app(v,cons(u,nil)),sk2)
| ~ neq(sk2,nil) ),
inference(rew,[status(thm),theory(equality)],[5,14,138]),
[iquote('0:Rew:5.0,14.4,138.2,14.2')] ).
cnf(220,plain,
( ~ ssList(u)
| ~ ssItem(v)
| ~ equal(cons(v,u),sk1)
| ~ equal(app(u,cons(v,nil)),sk2) ),
inference(mrr,[status(thm)],[219,210]),
[iquote('0:MRR:219.4,210.0')] ).
cnf(14714,plain,
( ~ ssList(sk6)
| ~ ssItem(sk5)
| equal(cons(sk5,sk6),sk1) ),
inference(spr,[status(thm),theory(equality)],[138,214]),
[iquote('0:SpR:138.2,214.0')] ).
cnf(14721,plain,
equal(cons(sk5,sk6),sk1),
inference(ssi,[status(thm)],[14714,209,207]),
[iquote('0:SSi:14714.1,14714.0,209.0,207.0')] ).
cnf(16600,plain,
( ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ equal(cons(sk5,sk6),sk1)
| ~ equal(sk2,sk2) ),
inference(spl,[status(thm),theory(equality)],[212,220]),
[iquote('0:SpL:212.0,220.3')] ).
cnf(16655,plain,
( ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ equal(cons(sk5,sk6),sk1) ),
inference(obv,[status(thm),theory(equality)],[16600]),
[iquote('0:Obv:16600.3')] ).
cnf(16656,plain,
( ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ equal(sk1,sk1) ),
inference(rew,[status(thm),theory(equality)],[14721,16655]),
[iquote('0:Rew:14721.0,16655.2')] ).
cnf(16657,plain,
( ~ ssList(sk6)
| ~ ssItem(sk5) ),
inference(obv,[status(thm),theory(equality)],[16656]),
[iquote('0:Obv:16656.2')] ).
cnf(16658,plain,
$false,
inference(ssi,[status(thm)],[16657,209,207]),
[iquote('0:SSi:16657.1,16657.0,209.0,207.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC317-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n016.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 : Sun Jun 12 10:41:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 4.92/5.12
% 4.92/5.12 SPASS V 3.9
% 4.92/5.12 SPASS beiseite: Proof found.
% 4.92/5.12 % SZS status Theorem
% 4.92/5.12 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.92/5.12 SPASS derived 11336 clauses, backtracked 6634 clauses, performed 108 splits and kept 12002 clauses.
% 4.92/5.12 SPASS allocated 85742 KBytes.
% 4.92/5.12 SPASS spent 0:00:04.01 on the problem.
% 4.92/5.12 0:00:00.04 for the input.
% 4.92/5.12 0:00:00.00 for the FLOTTER CNF translation.
% 4.92/5.12 0:00:00.07 for inferences.
% 4.92/5.12 0:00:00.07 for the backtracking.
% 4.92/5.12 0:00:03.56 for the reduction.
% 4.92/5.12
% 4.92/5.12
% 4.92/5.12 Here is a proof with depth 1, length 29 :
% 4.92/5.12 % SZS output start Refutation
% See solution above
% 4.92/5.12 Formulae used in the proof : co1_5 co1_6 co1_7 co1_10 co1_11 co1_14 co1_15 co1_16 co1_17 co1_18 clause120
% 4.92/5.12
%------------------------------------------------------------------------------