%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET991+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 05:30:16 EDT 2022
% Result : Theorem 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 5 unt; 0 nHn; 9 RR)
% Number of literals : 21 ( 0 equ; 14 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
function(skc8),
file('SET991+1.p',unknown),
[] ).
cnf(2,axiom,
relation(skc8),
file('SET991+1.p',unknown),
[] ).
cnf(21,axiom,
in(skc9,relation_dom(skc8)),
file('SET991+1.p',unknown),
[] ).
cnf(34,axiom,
~ in(apply(skc8,skc9),relation_rng(skc8)),
file('SET991+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ function(u)
| ~ relation(u)
| ~ in(v,relation_dom(u))
| ~ equal(w,relation_rng(u))
| ~ equal(x,apply(u,v))
| in(x,w) ),
file('SET991+1.p',unknown),
[] ).
cnf(64,plain,
( ~ relation(skc8)
| ~ function(skc8)
| ~ equal(u,relation_rng(skc8))
| ~ equal(v,apply(skc8,skc9))
| in(v,u) ),
inference(res,[status(thm),theory(equality)],[21,51]),
[iquote('0:Res:21.0,51.3')] ).
cnf(79,plain,
( ~ equal(u,relation_rng(skc8))
| ~ equal(v,apply(skc8,skc9))
| in(v,u) ),
inference(mrr,[status(thm)],[64,2,1]),
[iquote('0:MRR:64.0,64.1,2.0,1.0')] ).
cnf(92,plain,
( ~ equal(relation_rng(skc8),relation_rng(skc8))
| ~ equal(apply(skc8,skc9),apply(skc8,skc9)) ),
inference(res,[status(thm),theory(equality)],[79,34]),
[iquote('0:Res:79.2,34.0')] ).
cnf(94,plain,
$false,
inference(obv,[status(thm),theory(equality)],[92]),
[iquote('0:Obv:92.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET991+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n029.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 : Mon Jul 11 05:20:47 EDT 2022
% 0.13/0.35 % 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 36 clauses, backtracked 0 clauses, performed 0 splits and kept 69 clauses.
% 0.19/0.46 SPASS allocated 97905 KBytes.
% 0.19/0.46 SPASS spent 0:00:00.11 on the problem.
% 0.19/0.46 0:00:00.04 for the input.
% 0.19/0.46 0:00:00.04 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 0:00:00.00 for the reduction.
% 0.19/0.46
% 0.19/0.46
% 0.19/0.46 Here is a proof with depth 2, length 9 :
% 0.19/0.46 % SZS output start Refutation
% See solution above
% 0.19/0.46 Formulae used in the proof : t12_funct_1 d5_funct_1 antisymmetry_r2_hidden
% 0.19/0.46
%------------------------------------------------------------------------------