%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU096+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 14:33:56 EDT 2022
% Result : Theorem 0.11s 0.33s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 8 unt; 0 nHn; 14 RR)
% Number of literals : 26 ( 0 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
function(skc23),
file('SEU096+1.p',unknown),
[] ).
cnf(2,axiom,
relation(skc23),
file('SEU096+1.p',unknown),
[] ).
cnf(77,axiom,
~ finite(skc24),
file('SEU096+1.p',unknown),
[] ).
cnf(98,axiom,
subset(skc24,relation_rng(skc23)),
file('SEU096+1.p',unknown),
[] ).
cnf(99,axiom,
finite(relation_inverse_image(skc23,skc24)),
file('SEU096+1.p',unknown),
[] ).
cnf(144,axiom,
( ~ relation(u)
| ~ function(u)
| ~ finite(v)
| finite(relation_image(u,v)) ),
file('SEU096+1.p',unknown),
[] ).
cnf(145,axiom,
( ~ relation(u)
| ~ function(u)
| ~ subset(v,relation_rng(u))
| equal(relation_image(u,relation_inverse_image(u,v)),v) ),
file('SEU096+1.p',unknown),
[] ).
cnf(151,plain,
( ~ finite(u)
| ~ function(skc23)
| finite(relation_image(skc23,u)) ),
inference(res,[status(thm),theory(equality)],[2,144]),
[iquote('0:Res:2.0,144.2')] ).
cnf(160,plain,
( ~ function(skc23)
| ~ relation(skc23)
| equal(relation_image(skc23,relation_inverse_image(skc23,skc24)),skc24) ),
inference(res,[status(thm),theory(equality)],[98,145]),
[iquote('0:Res:98.0,145.2')] ).
cnf(162,plain,
( ~ finite(u)
| finite(relation_image(skc23,u)) ),
inference(mrr,[status(thm)],[151,1]),
[iquote('0:MRR:151.1,1.0')] ).
cnf(163,plain,
equal(relation_image(skc23,relation_inverse_image(skc23,skc24)),skc24),
inference(mrr,[status(thm)],[160,1,2]),
[iquote('0:MRR:160.0,160.1,1.0,2.0')] ).
cnf(220,plain,
( ~ finite(relation_inverse_image(skc23,skc24))
| finite(skc24) ),
inference(spr,[status(thm),theory(equality)],[163,162]),
[iquote('0:SpR:163.0,162.1')] ).
cnf(221,plain,
finite(skc24),
inference(ssi,[status(thm)],[220,99]),
[iquote('0:SSi:220.0,99.0')] ).
cnf(222,plain,
$false,
inference(mrr,[status(thm)],[221,77]),
[iquote('0:MRR:221.0,77.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SEU096+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.07 % Command : run_spass %d %s
% 0.06/0.26 % Computer : n014.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 600
% 0.06/0.26 % DateTime : Sun Jun 19 18:51:48 EDT 2022
% 0.06/0.26 % CPUTime :
% 0.11/0.33
% 0.11/0.33 SPASS V 3.9
% 0.11/0.33 SPASS beiseite: Proof found.
% 0.11/0.33 % SZS status Theorem
% 0.11/0.33 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 SPASS derived 64 clauses, backtracked 0 clauses, performed 0 splits and kept 154 clauses.
% 0.11/0.33 SPASS allocated 97811 KBytes.
% 0.11/0.33 SPASS spent 0:00:00.07 on the problem.
% 0.11/0.33 0:00:00.02 for the input.
% 0.11/0.33 0:00:00.02 for the FLOTTER CNF translation.
% 0.11/0.33 0:00:00.00 for inferences.
% 0.11/0.33 0:00:00.00 for the backtracking.
% 0.11/0.33 0:00:00.00 for the reduction.
% 0.11/0.33
% 0.11/0.33
% 0.11/0.33 Here is a proof with depth 2, length 14 :
% 0.11/0.33 % SZS output start Refutation
% See solution above
% 0.11/0.33 Formulae used in the proof : t27_finset_1 t17_finset_1 t147_funct_1
% 0.11/0.33
%------------------------------------------------------------------------------