%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC255-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 22:02:51 EDT 2022
% Result : Unsatisfiable 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 5 unt; 2 nHn; 12 RR)
% Number of literals : 19 ( 0 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
equal(sk4,sk2),
file('SWC255-1.p',unknown),
[] ).
cnf(6,axiom,
equal(sk3,sk1),
file('SWC255-1.p',unknown),
[] ).
cnf(9,axiom,
( singletonP(sk3)
| neq(sk2,nil) ),
file('SWC255-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ singletonP(sk1)
| neq(sk2,nil) ),
file('SWC255-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
file('SWC255-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ singletonP(sk1)
| ~ neq(sk4,nil) ),
file('SWC255-1.p',unknown),
[] ).
cnf(200,plain,
( singletonP(sk1)
| neq(sk2,nil) ),
inference(rew,[status(thm),theory(equality)],[6,9]),
[iquote('0:Rew:6.0,9.0')] ).
cnf(201,plain,
( ~ neq(sk2,nil)
| singletonP(sk1) ),
inference(rew,[status(thm),theory(equality)],[6,11,5]),
[iquote('0:Rew:6.0,11.1,5.0,11.0')] ).
cnf(202,plain,
singletonP(sk1),
inference(mrr,[status(thm)],[201,200]),
[iquote('0:MRR:201.0,200.1')] ).
cnf(203,plain,
neq(sk2,nil),
inference(mrr,[status(thm)],[10,202]),
[iquote('0:MRR:10.0,202.0')] ).
cnf(205,plain,
( ~ singletonP(sk1)
| ~ neq(sk2,nil) ),
inference(rew,[status(thm),theory(equality)],[5,12]),
[iquote('0:Rew:5.0,12.1')] ).
cnf(206,plain,
$false,
inference(mrr,[status(thm)],[205,202,203]),
[iquote('0:MRR:205.0,205.1,202.0,203.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC255-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 11 19:38:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.42
% 0.19/0.42 SPASS V 3.9
% 0.19/0.42 SPASS beiseite: Proof found.
% 0.19/0.42 % SZS status Theorem
% 0.19/0.42 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42 SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 82 clauses.
% 0.19/0.42 SPASS allocated 75860 KBytes.
% 0.19/0.42 SPASS spent 0:00:00.07 on the problem.
% 0.19/0.42 0:00:00.04 for the input.
% 0.19/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.42 0:00:00.00 for inferences.
% 0.19/0.42 0:00:00.00 for the backtracking.
% 0.19/0.42 0:00:00.00 for the reduction.
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 Here is a proof with depth 0, length 12 :
% 0.19/0.42 % SZS output start Refutation
% See solution above
% 0.19/0.42 Formulae used in the proof : co1_5 co1_6 co1_9 co1_10 co1_11 co1_12
% 0.19/0.42
%------------------------------------------------------------------------------