%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC217-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 22:02:33 EDT 2022
% Result : Unsatisfiable 1.68s 1.86s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of clauses : 29 ( 19 unt; 2 nHn; 29 RR)
% Number of literals : 43 ( 0 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ssList(sk1),
file('SWC217-1.p',unknown),
[] ).
cnf(5,axiom,
equal(sk4,sk2),
file('SWC217-1.p',unknown),
[] ).
cnf(6,axiom,
equal(sk3,sk1),
file('SWC217-1.p',unknown),
[] ).
cnf(7,axiom,
neq(sk2,nil),
file('SWC217-1.p',unknown),
[] ).
cnf(8,axiom,
~ neq(sk1,nil),
file('SWC217-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('SWC217-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ neq(sk4,nil)
| equal(cons(sk5,nil),sk3) ),
file('SWC217-1.p',unknown),
[] ).
cnf(13,axiom,
equalelemsP(nil),
file('SWC217-1.p',unknown),
[] ).
cnf(14,axiom,
duplicatefreeP(nil),
file('SWC217-1.p',unknown),
[] ).
cnf(15,axiom,
strictorderedP(nil),
file('SWC217-1.p',unknown),
[] ).
cnf(16,axiom,
totalorderedP(nil),
file('SWC217-1.p',unknown),
[] ).
cnf(17,axiom,
strictorderP(nil),
file('SWC217-1.p',unknown),
[] ).
cnf(18,axiom,
totalorderP(nil),
file('SWC217-1.p',unknown),
[] ).
cnf(19,axiom,
cyclefreeP(nil),
file('SWC217-1.p',unknown),
[] ).
cnf(20,axiom,
ssList(nil),
file('SWC217-1.p',unknown),
[] ).
cnf(111,axiom,
( ~ ssList(u)
| ~ ssItem(v)
| ~ equal(cons(v,u),u) ),
file('SWC217-1.p',unknown),
[] ).
cnf(112,axiom,
( ~ ssList(u)
| ~ ssList(v)
| equal(u,v)
| neq(u,v) ),
file('SWC217-1.p',unknown),
[] ).
cnf(200,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(rew,[status(thm),theory(equality)],[5,10]),
[iquote('0:Rew:5.0,10.0')] ).
cnf(201,plain,
ssItem(sk5),
inference(mrr,[status(thm)],[200,7]),
[iquote('0:MRR:200.0,7.0')] ).
cnf(205,plain,
( ~ neq(sk2,nil)
| equal(cons(sk5,nil),sk1) ),
inference(rew,[status(thm),theory(equality)],[6,11,5]),
[iquote('0:Rew:6.0,11.1,5.0,11.0')] ).
cnf(206,plain,
equal(cons(sk5,nil),sk1),
inference(mrr,[status(thm)],[205,7]),
[iquote('0:MRR:205.0,7.0')] ).
cnf(516,plain,
( ~ ssItem(u)
| ~ equal(cons(u,sk1),sk1) ),
inference(res,[status(thm),theory(equality)],[1,111]),
[iquote('0:Res:1.0,111.1')] ).
cnf(517,plain,
( ~ ssList(u)
| equal(sk1,u)
| neq(sk1,u) ),
inference(res,[status(thm),theory(equality)],[1,112]),
[iquote('0:Res:1.0,112.1')] ).
cnf(2655,plain,
( ~ ssList(nil)
| equal(nil,sk1) ),
inference(res,[status(thm),theory(equality)],[517,8]),
[iquote('0:Res:517.2,8.0')] ).
cnf(2656,plain,
equal(nil,sk1),
inference(ssi,[status(thm)],[2655,20,19,18,17,16,15,14,13]),
[iquote('0:SSi:2655.0,20.0,19.0,18.0,17.0,16.0,15.0,14.0,13.0')] ).
cnf(2681,plain,
equal(cons(sk5,sk1),sk1),
inference(rew,[status(thm),theory(equality)],[2656,206]),
[iquote('0:Rew:2656.0,206.0')] ).
cnf(3303,plain,
( ~ ssItem(sk5)
| ~ equal(sk1,sk1) ),
inference(spl,[status(thm),theory(equality)],[2681,516]),
[iquote('0:SpL:2681.0,516.1')] ).
cnf(3304,plain,
~ ssItem(sk5),
inference(obv,[status(thm),theory(equality)],[3303]),
[iquote('0:Obv:3303.1')] ).
cnf(3305,plain,
$false,
inference(ssi,[status(thm)],[3304,201]),
[iquote('0:SSi:3304.0,201.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC217-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 12 22:04:46 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.68/1.86
% 1.68/1.86 SPASS V 3.9
% 1.68/1.86 SPASS beiseite: Proof found.
% 1.68/1.86 % SZS status Theorem
% 1.68/1.86 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.68/1.86 SPASS derived 2496 clauses, backtracked 2322 clauses, performed 68 splits and kept 4213 clauses.
% 1.68/1.86 SPASS allocated 78026 KBytes.
% 1.68/1.86 SPASS spent 0:00:01.49 on the problem.
% 1.68/1.86 0:00:00.04 for the input.
% 1.68/1.86 0:00:00.00 for the FLOTTER CNF translation.
% 1.68/1.86 0:00:00.01 for inferences.
% 1.68/1.86 0:00:00.02 for the backtracking.
% 1.68/1.86 0:00:01.20 for the reduction.
% 1.68/1.86
% 1.68/1.86
% 1.68/1.86 Here is a proof with depth 2, length 29 :
% 1.68/1.86 % SZS output start Refutation
% See solution above
% 1.68/1.86 Formulae used in the proof : co1_1 co1_5 co1_6 co1_7 co1_8 co1_10 co1_11 clause1 clause2 clause3 clause4 clause5 clause6 clause7 clause8 clause99 clause100
% 1.68/1.86
%------------------------------------------------------------------------------