TSTP Solution File: SEU177+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU177+1 : TPTP v8.1.0. Released v3.3.0.
% 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 14:34:44 EDT 2022
% Result : Theorem 0.18s 0.44s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 13 ( 5 unt; 0 nHn; 13 RR)
% Number of literals : 27 ( 0 equ; 18 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
relation(skc6),
file('SEU177+1.p',unknown),
[] ).
cnf(9,axiom,
in(ordered_pair(skc8,skc7),skc6),
file('SEU177+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ in(skc7,relation_rng(skc6))
| ~ in(skc8,relation_dom(skc6)) ),
file('SEU177+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ relation(u)
| ~ equal(v,relation_dom(u))
| ~ in(ordered_pair(w,x),u)
| in(w,v) ),
file('SEU177+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ relation(u)
| ~ equal(v,relation_rng(u))
| ~ in(ordered_pair(w,x),u)
| in(x,v) ),
file('SEU177+1.p',unknown),
[] ).
cnf(38,plain,
( ~ relation(skc6)
| ~ equal(u,relation_dom(skc6))
| in(skc8,u) ),
inference(res,[status(thm),theory(equality)],[9,23]),
[iquote('0:Res:9.0,23.2')] ).
cnf(39,plain,
( ~ relation(skc6)
| ~ equal(u,relation_rng(skc6))
| in(skc7,u) ),
inference(res,[status(thm),theory(equality)],[9,24]),
[iquote('0:Res:9.0,24.2')] ).
cnf(44,plain,
( ~ equal(u,relation_dom(skc6))
| in(skc8,u) ),
inference(mrr,[status(thm)],[38,1]),
[iquote('0:MRR:38.0,1.0')] ).
cnf(45,plain,
( ~ equal(u,relation_rng(skc6))
| in(skc7,u) ),
inference(mrr,[status(thm)],[39,1]),
[iquote('0:MRR:39.0,1.0')] ).
cnf(89,plain,
( ~ equal(relation_dom(skc6),relation_dom(skc6))
| ~ in(skc7,relation_rng(skc6)) ),
inference(res,[status(thm),theory(equality)],[44,19]),
[iquote('0:Res:44.1,19.1')] ).
cnf(91,plain,
~ in(skc7,relation_rng(skc6)),
inference(obv,[status(thm),theory(equality)],[89]),
[iquote('0:Obv:89.0')] ).
cnf(92,plain,
~ equal(relation_rng(skc6),relation_rng(skc6)),
inference(res,[status(thm),theory(equality)],[45,91]),
[iquote('0:Res:45.1,91.0')] ).
cnf(94,plain,
$false,
inference(obv,[status(thm),theory(equality)],[92]),
[iquote('0:Obv:92.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU177+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n027.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 07:20:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44
% 0.18/0.44 SPASS V 3.9
% 0.18/0.44 SPASS beiseite: Proof found.
% 0.18/0.44 % SZS status Theorem
% 0.18/0.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 SPASS derived 54 clauses, backtracked 0 clauses, performed 0 splits and kept 60 clauses.
% 0.18/0.44 SPASS allocated 97900 KBytes.
% 0.18/0.44 SPASS spent 0:00:00.10 on the problem.
% 0.18/0.44 0:00:00.04 for the input.
% 0.18/0.44 0:00:00.04 for the FLOTTER CNF translation.
% 0.18/0.44 0:00:00.00 for inferences.
% 0.18/0.44 0:00:00.00 for the backtracking.
% 0.18/0.44 0:00:00.00 for the reduction.
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 Here is a proof with depth 3, length 13 :
% 0.18/0.44 % SZS output start Refutation
% See solution above
% 0.18/0.44 Formulae used in the proof : t20_relat_1 d4_relat_1 antisymmetry_r2_hidden d5_relat_1
% 0.18/0.44
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