%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU255+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 14:35:34 EDT 2022
% Result : Theorem 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 20 ( 7 unt; 8 nHn; 20 RR)
% Number of literals : 45 ( 0 equ; 19 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
antisymmetric(skc7),
file('SEU255+1.p',unknown),
[] ).
cnf(2,axiom,
relation(skc7),
file('SEU255+1.p',unknown),
[] ).
cnf(15,axiom,
~ antisymmetric(relation_restriction(skc7,skc8)),
file('SEU255+1.p',unknown),
[] ).
cnf(20,axiom,
~ equal(skf5(u),skf4(u)),
file('SEU255+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ relation(u)
| relation(relation_restriction(u,v)) ),
file('SEU255+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ relation(u)
| antisymmetric(u)
| in(ordered_pair(skf4(u),skf5(u)),u) ),
file('SEU255+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ relation(u)
| antisymmetric(u)
| in(ordered_pair(skf5(u),skf4(u)),u) ),
file('SEU255+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ relation(u)
| ~ in(v,relation_restriction(u,w))
| in(v,u) ),
file('SEU255+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ relation(u)
| ~ antisymmetric(u)
| ~ in(ordered_pair(v,w),u)
| ~ in(ordered_pair(w,v),u)
| equal(v,w) ),
file('SEU255+1.p',unknown),
[] ).
cnf(47,plain,
( ~ in(u,relation_restriction(skc7,v))
| in(u,skc7) ),
inference(res,[status(thm),theory(equality)],[2,35]),
[iquote('0:Res:2.0,35.0')] ).
cnf(49,plain,
relation(relation_restriction(skc7,u)),
inference(res,[status(thm),theory(equality)],[2,24]),
[iquote('0:Res:2.0,24.0')] ).
cnf(98,plain,
( ~ relation(relation_restriction(skc7,u))
| antisymmetric(relation_restriction(skc7,u))
| in(ordered_pair(skf5(relation_restriction(skc7,u)),skf4(relation_restriction(skc7,u))),skc7) ),
inference(res,[status(thm),theory(equality)],[34,47]),
[iquote('0:Res:34.2,47.0')] ).
cnf(99,plain,
( antisymmetric(relation_restriction(skc7,u))
| in(ordered_pair(skf5(relation_restriction(skc7,u)),skf4(relation_restriction(skc7,u))),skc7) ),
inference(ssi,[status(thm)],[98,49]),
[iquote('0:SSi:98.0,49.0')] ).
cnf(114,plain,
( ~ relation(relation_restriction(skc7,u))
| antisymmetric(relation_restriction(skc7,u))
| in(ordered_pair(skf4(relation_restriction(skc7,u)),skf5(relation_restriction(skc7,u))),skc7) ),
inference(res,[status(thm),theory(equality)],[33,47]),
[iquote('0:Res:33.2,47.0')] ).
cnf(115,plain,
( antisymmetric(relation_restriction(skc7,u))
| in(ordered_pair(skf4(relation_restriction(skc7,u)),skf5(relation_restriction(skc7,u))),skc7) ),
inference(ssi,[status(thm)],[114,49]),
[iquote('0:SSi:114.0,49.0')] ).
cnf(251,plain,
( ~ relation(skc7)
| ~ antisymmetric(skc7)
| ~ in(ordered_pair(skf4(relation_restriction(skc7,u)),skf5(relation_restriction(skc7,u))),skc7)
| antisymmetric(relation_restriction(skc7,u))
| equal(skf5(relation_restriction(skc7,u)),skf4(relation_restriction(skc7,u))) ),
inference(res,[status(thm),theory(equality)],[99,38]),
[iquote('0:Res:99.1,38.2')] ).
cnf(253,plain,
( ~ in(ordered_pair(skf4(relation_restriction(skc7,u)),skf5(relation_restriction(skc7,u))),skc7)
| antisymmetric(relation_restriction(skc7,u))
| equal(skf5(relation_restriction(skc7,u)),skf4(relation_restriction(skc7,u))) ),
inference(ssi,[status(thm)],[251,1,2]),
[iquote('0:SSi:251.1,251.0,1.0,2.0,1.0,2.0')] ).
cnf(254,plain,
( ~ in(ordered_pair(skf4(relation_restriction(skc7,u)),skf5(relation_restriction(skc7,u))),skc7)
| antisymmetric(relation_restriction(skc7,u)) ),
inference(mrr,[status(thm)],[253,20]),
[iquote('0:MRR:253.2,20.0')] ).
cnf(255,plain,
antisymmetric(relation_restriction(skc7,u)),
inference(mrr,[status(thm)],[254,115]),
[iquote('0:MRR:254.0,115.1')] ).
cnf(256,plain,
$false,
inference(unc,[status(thm)],[255,15]),
[iquote('0:UnC:255.0,15.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU255+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n012.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 : Sun Jun 19 05:58:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46
% 0.19/0.46 SPASS V 3.9
% 0.19/0.46 SPASS beiseite: Proof found.
% 0.19/0.46 % SZS status Theorem
% 0.19/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 SPASS derived 171 clauses, backtracked 0 clauses, performed 0 splits and kept 114 clauses.
% 0.19/0.46 SPASS allocated 97846 KBytes.
% 0.19/0.46 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.46 0:00:00.03 for the input.
% 0.19/0.46 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.46 0:00:00.00 for inferences.
% 0.19/0.46 0:00:00.00 for the backtracking.
% 0.19/0.46 0:00:00.01 for the reduction.
% 0.19/0.46
% 0.19/0.46
% 0.19/0.46 Here is a proof with depth 3, length 20 :
% 0.19/0.46 % SZS output start Refutation
% See solution above
% 0.19/0.46 Formulae used in the proof : t25_wellord1 l3_wellord1 dt_k2_wellord1 t16_wellord1
% 0.19/0.46
%------------------------------------------------------------------------------