%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS097+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 : Sun Jul 17 03:30:32 EDT 2022
% Result : Unsatisfiable 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of clauses : 21 ( 5 unt; 0 nHn; 21 RR)
% Number of literals : 44 ( 0 equ; 26 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
cUnsatisfiable(i2003_11_14_17_20_21603),
file('KRS097+1.p',unknown),
[] ).
cnf(4,axiom,
cc(skf7(u)),
file('KRS097+1.p',unknown),
[] ).
cnf(5,axiom,
cd(skf6(u)),
file('KRS097+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ cc(u)
| ~ cd(u) ),
file('KRS097+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ cUnsatisfiable(u)
| rr(u,skf5(u)) ),
file('KRS097+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ cUnsatisfiable(u)
| rr(u,skf6(u)) ),
file('KRS097+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ cUnsatisfiable(u)
| rr(u,skf7(u)) ),
file('KRS097+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ cUnsatisfiable(u)
| ~ rr(u,v)
| ~ rr(u,w)
| equal(v,w) ),
file('KRS097+1.p',unknown),
[] ).
cnf(28,plain,
( ~ cUnsatisfiable(u)
| ~ cUnsatisfiable(u)
| ~ rr(u,v)
| equal(skf7(u),v) ),
inference(res,[status(thm),theory(equality)],[15,23]),
[iquote('0:Res:15.1,23.1')] ).
cnf(34,plain,
( ~ cUnsatisfiable(u)
| ~ rr(u,v)
| equal(skf7(u),v) ),
inference(obv,[status(thm),theory(equality)],[28]),
[iquote('0:Obv:28.0')] ).
cnf(38,plain,
( ~ cUnsatisfiable(u)
| ~ cUnsatisfiable(u)
| equal(skf7(u),skf6(u)) ),
inference(res,[status(thm),theory(equality)],[14,34]),
[iquote('0:Res:14.1,34.1')] ).
cnf(39,plain,
( ~ cUnsatisfiable(u)
| ~ cUnsatisfiable(u)
| equal(skf7(u),skf5(u)) ),
inference(res,[status(thm),theory(equality)],[13,34]),
[iquote('0:Res:13.1,34.1')] ).
cnf(43,plain,
( ~ cUnsatisfiable(u)
| equal(skf7(u),skf6(u)) ),
inference(obv,[status(thm),theory(equality)],[38]),
[iquote('0:Obv:38.0')] ).
cnf(46,plain,
( ~ cUnsatisfiable(u)
| equal(skf7(u),skf5(u)) ),
inference(obv,[status(thm),theory(equality)],[39]),
[iquote('0:Obv:39.0')] ).
cnf(47,plain,
( ~ cUnsatisfiable(u)
| equal(skf6(u),skf5(u)) ),
inference(rew,[status(thm),theory(equality)],[43,46]),
[iquote('0:Rew:43.1,46.1')] ).
cnf(50,plain,
( ~ cUnsatisfiable(u)
| equal(skf7(u),skf5(u)) ),
inference(rew,[status(thm),theory(equality)],[47,43]),
[iquote('0:Rew:47.1,43.1')] ).
cnf(59,plain,
( ~ cUnsatisfiable(u)
| cd(skf5(u)) ),
inference(spr,[status(thm),theory(equality)],[47,5]),
[iquote('0:SpR:47.1,5.0')] ).
cnf(61,plain,
( ~ cUnsatisfiable(u)
| cc(skf5(u)) ),
inference(spr,[status(thm),theory(equality)],[50,4]),
[iquote('0:SpR:50.1,4.0')] ).
cnf(63,plain,
( ~ cUnsatisfiable(u)
| ~ cUnsatisfiable(u) ),
inference(ems,[status(thm)],[11,61,59]),
[iquote('0:EmS:11.0,11.1,61.1,59.1')] ).
cnf(65,plain,
~ cUnsatisfiable(u),
inference(obv,[status(thm),theory(equality)],[63]),
[iquote('0:Obv:63.0')] ).
cnf(66,plain,
$false,
inference(unc,[status(thm)],[65,2]),
[iquote('0:UnC:65.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS097+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n018.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 : Tue Jun 7 20:48:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 28 clauses, backtracked 0 clauses, performed 0 splits and kept 44 clauses.
% 0.19/0.45 SPASS allocated 97935 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.45 0:00:00.04 for the input.
% 0.19/0.45 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.00 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.00 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 4, length 21 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.45 Formulae used in the proof : axiom_4 axiom_2 axiom_6
% 0.19/0.45
%------------------------------------------------------------------------------